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authorjthorn <jthorn@f88db872-0e4f-0410-b76b-b9085cfa78c5>2001-06-14 14:57:52 +0000
committerjthorn <jthorn@f88db872-0e4f-0410-b76b-b9085cfa78c5>2001-06-14 14:57:52 +0000
commit64c8006155a1e2fb5cb9cc0faf985f3fb892f153 (patch)
treec79c520b8f99faded5ed75eb695c6551c7813730 /doc
parent15c0ba0acd8443a2d66f13fd30aadb791fc73820 (diff)
add initial skeleton of user's guide, also bibtex bibliopgraphy file
git-svn-id: http://svn.einsteintoolkit.org/cactus/EinsteinAnalysis/AHFinderDirect/trunk@12 f88db872-0e4f-0410-b76b-b9085cfa78c5
Diffstat (limited to 'doc')
-rw-r--r--doc/Makefile16
-rw-r--r--doc/jt.bib4494
-rw-r--r--doc/prog.tex5
-rw-r--r--doc/user.tex52
4 files changed, 4565 insertions, 2 deletions
diff --git a/doc/Makefile b/doc/Makefile
index 2548627..e9b2a25 100644
--- a/doc/Makefile
+++ b/doc/Makefile
@@ -1,5 +1,5 @@
# Makefile for documentation
-# $Id: Makefile,v 1.1 2001-06-14 14:41:54 jthorn Exp $
+# $Id: Makefile,v 1.2 2001-06-14 14:57:51 jthorn Exp $
#
# Note this Makefile always re-TeXs things, even if the .tex files
@@ -11,7 +11,14 @@
###############################################################################
.PHONY : default
-default : prog
+default : prog user
+
+.PHONY : user user.dvi user.ps
+user : user.ps
+user.ps : user.dvi
+ dvips -f <user.dvi >user.ps
+user.dvi: user.tex
+ latex user
.PHONY : prog prog.dvi prog.ps
prog : prog.ps
@@ -19,3 +26,8 @@ prog.ps : prog.dvi
dvips -f <prog.dvi >prog.ps
prog.dvi: prog.tex
latex prog
+
+.PHONY : bib
+bib :
+ bibtex user
+ bibtex prog
diff --git a/doc/jt.bib b/doc/jt.bib
new file mode 100644
index 0000000..b9bbecb
--- /dev/null
+++ b/doc/jt.bib
@@ -0,0 +1,4494 @@
+% Jonathan Thornburg's BibTex bibliography database
+% on numerical relativity, numerical analysis, experimental tests
+% of general relativity, and related topics
+% $Id$
+
+%
+% Uses macros in names.tex
+%
+
+%
+% additional fields:
+% eprint = gr-qc preprint number
+% snote = silent note = note that won't appear in bibliography
+%
+
+%
+% === A ===
+%
+
+@phdthesis
+ {
+ Abrahams-PhD,
+ author = "Andrew M. Abrahams",
+ title = "The Synergism of Analytic and
+ Numerical Techniques in General Relativity:
+ Calculation of Radiative Spacetimes",
+ supervisor = "Larry L. Smarr",
+ school = "University of Illinois at Urbana-Champaign",
+ department = "Physics",
+ year = 1988, month = "June",
+ snote = "University Microfilms Order \#DA 89-08603",
+ }
+
+@incollection
+ {
+ Abrahams-1989-in-Frontiers,
+ author = "Andrew M. Abrahams",
+ title = "Analytic-Numerical Matching for
+ Gravitational Waveform Extraction",
+ pages = "110--125",
+ editor = "Charles R. Evans and Lee S. Finn and David W. Hobill",
+ booktitle = "Frontiers in Numerical Relativity",
+ publisher = "Cambridge University Press",
+ address = "Cambridge (UK)",
+ year = 1989,
+ isbn = "0-521-36666-6",
+ note = "Proceedings of the International Workshop on Numerical
+ Relativity, University of Illinois at Urbana-Champaign
+ (Urbana-Champaign, Illinois, USA), 9--13 May 1988",
+ }
+
+@article
+ {
+ Abrahams-Evans-1988-gravitational-radiation-matching,
+ author = "Andrew M. Abrahams and Charles R. Evans",
+ title = "Reading Off Gravitational Radiation Waveforms
+ in Numerical Relativity Calculations:
+ Matching to Linearized Gravity",
+ journal = "Physical Review~D",
+ volume = 37, number = 2,
+ pages = "318--332",
+ year = 1988, month = "15 January",
+ }
+
+@article
+ {
+ Abrahams-Evans-1990-gravitational-radiation-matching,
+ author = "Andrew M. Abrahams and Charles R. Evans",
+ title = "Gauge-Invariant Treatment
+ of Gravitational Radiation Near the Source:
+ Analysis and Numerical Simulations",
+ journal = "Physical Review~D",
+ volume = 42, number = 8,
+ pages = "2585--2594",
+ year = 1990, month = "15 October",
+ }
+
+@article
+ {
+ ABHSS-1992-diagonal-metric-BH-evolution,
+ author = "Andrew M. Abrahams and David H. Bernstein and David Hobill
+ and Edward Seidel and Larry L. Smarr",
+ title = "Numerically Generated Black-Hole Spacetimes:
+ Interaction with Gravitational Waves",
+ journal = "Physical Review~D",
+ volume = 45, number = 10,
+ pages = "3544--3558",
+ year = 1992, month = "15 May",
+ }
+
+@article
+ {
+ Abrahams-Evans-1992-BH-geon-formation,
+ author = "Andrew M. Abrahams and Charles R. Evans",
+ title = "Trapping a Geon:
+ Black Hole Formation by an Imploding Gravitational Wave",
+ journal = "Physical Review~D",
+ volume = 46, number = 10,
+ pages = "R4117--R4121",
+ year = 1992, month = "15 November",
+ snote = "3+1, maximal slicing",
+ }
+
+@article
+ {
+ AHST-1992-initial-data-cosmic-censorship,
+ author = "Andrew M. Abrahams and Karen R. Heiderich
+ and Stuard L. Shapiro and Saul A. Teukolsky",
+ title = "Vacuum Initial Data, Singularities, and Cosmic Censorship",
+ journal = "Physical Review~D",
+ volume = 46, number = 6,
+ pages = "2452--2463",
+ year = 1992, month = "15 September",
+ }
+
+@article
+ {
+ Abrahams-Shapiro-Teukolsky-1995-gravitational-radiation-matching,
+ author = "Andrew M. Abrahams and Stuard L. Shapiro
+ and Saul A. Teukolsky",
+ title = "Calculation of Gravitational Wave Forms
+ from Black Hole Collisions and Disk Collapse:
+ Applying Perturbation Theory to Numerical Spacetimes",
+ journal = "Physical Review~D",
+ volume = 51, X-number = "FIXME",
+ pages = "4295", X-ending-page = "FIXME",
+ year = 1995, X-month = "FIXME",
+ eprint= "gr-qc/9408036",
+ }
+
+% need { } for author due to embedded " (umlaut)
+@article
+ {
+ Abramovici-etal-1992-LIGO-general-review,
+ author = {Alex Abramovici and William E. Althouse
+ and Ronald W. P. Drever and and Yekta G\"{u}rsel
+ and Seiji Kawamura and and Frederick J. Raab
+ and David Shoemaker and Lisa Sievers and Robert E. Spero
+ and Kip S. Thorne and Rochus E. Vogt and Rainer Weiss
+ and Stanley E. Whitcomb and Michael E. Zucker},
+ title = "LIGO: The Laser Interferometer
+ Gravitational-Wave Observatory",
+ journal = "Science",
+ volume = 256, number = 5055,
+ pages = "325--333",
+ year = 1992, month = "17 April",
+ snote = "general review of LIGO basic physics + sources + observatory",
+ }
+
+@book
+ {
+ Abramowitz-Stegun,
+ author = "Milton Abramowitz and Irene A. Stegun",
+ title = "Handbook of Mathematical Functions",
+ subtitle = "with Formulas, Graphs, and Mathematical Tables",
+ publisher = "Dover",
+ address = "New York",
+ year = "1965",
+ isbn = "0-486-61272-4"
+ }
+
+@article
+ {
+ Aichelburg-Lechner-1998-sigma-model-on-deSitter,
+ author = "Peter C. Aichelburg and Christiane Lechner",
+ title = "Sigma Model on {d}e {S}itter Space",
+ journal = "Physical Review~D",
+ volume = 54, X-number = "FIXME",
+ pages = "6176--6180",
+ year = 1996, X-month = "FIXME",
+ }
+
+@phdthesis
+ {
+ Alcubierre-PhD,
+ author = "Miguel Alcubierre",
+ title = "Investigations in Numerical Relativity",
+ supervisor = "Bernard F. Schutz",
+ school = "University of Wales",
+ X-department = "FIXME",
+ year = 1993, month = "December",
+ }
+
+@article
+ {
+ ABBHSRT-1999-cartoon,
+ author = "Miguel Alcubierre and Steven Brandt and Bernd \Bruegmann{}
+ and Daniel Holz and Edward Seidel and Ryoji Takahashi
+ and Jonathan Thornburg",
+ title = "Symmetry without Symmetry: Numerical Simulation
+ of Axisymmetric Systems using Cartesian Grids",
+ journal = "International Journal of Modern Physics D",
+ year = "to appear", X-month = "FIXME",
+ eprint = "gr-qc/9908012",
+ snote = "this paper describes the ``cartoon'' technique
+ for doing 2-D axisymmetric simulations using
+ $(\rho,\phi,z)$ coordinates, implemented in
+ terms of an existing $xyz$ 3-D code",
+ }
+
+@article
+ {
+ ABBGMSW-1999-horizon-finding-test-beds,
+ author = "Miguel Alcubierre and Steven Brandt and Bernd \Bruegmann{}
+ and Carsten Gundlach and Joan \Masso{} and Edward Seidel
+ and Paul Walker",
+ title = "Test-beds and Applications for Apparent Horizon Finders
+ in Numerical Relativity",
+ journal = "Classical and Quantum Gravity",
+ volume = 17, year = 2000,
+ pages = "2159--2190",
+ eprint = "gr-qc/9809004",
+ }
+
+@techreport
+ {
+ ABBLNST-2001-2BH-freezing-grazing-collision,
+ author = "Miguel Alcubierre and Werner Benger and Bernd \Bruegmann{}
+ and Gerd Lanfermann and Lars Nerger and Edward Seidel
+ and Ryoji Takahashi",
+ title = "The {3D} Grazing Collision of Two Black Holes",
+ year = "2001", month = "8 January",
+ eprint = "gr-qc/0012079",
+ snote = "maximal slicing, Cactus, run to 30M",
+ }
+
+@article
+ {
+ Alcubierre-etal-2000-BSSN-evolution,
+ author = "Miguel Alcubierre and Bernd \Bruegmann{} and Thomas Dramlitsch
+ and Jose A. Font and Philippos Papadopoulos and Edward Seidel
+ and Nikolaos Stergioulas and Ryoji Takahashi",
+ title = "Towards a Stable Numerical Evolution of
+ Strongly Gravitating Systems in General Relativity:
+ The Conformal Treatments",
+ journal = "Physical Review~D",
+ volume = 62, pages = "044034 (16 pages)",
+ year = 2000, month = "15 August",
+ snote = "comparison of ADM and BSSN evolutions for several
+ different treatments of trace and conformal terms",
+ eprint = "gr-qc/0003071",
+ }
+
+@techreport
+ {
+ Alcubierre-Bruegmann-2000-cubical-excision,
+ author = "Miguel Alcubierre and Bernd \Bruegmann{}",
+ title = "Simple Excision of a Black Hole in $3+1$ Numerical Relativity",
+ year = 2000, month = "15 August",
+ snote = "cubical excision, Schwarzschild,
+ stable in octant mode, unstable in full evolution",
+ eprint = "gr-qc/0008067",
+ }
+
+@article
+ {
+ Alcubierre-Schutz-1994-causal-differencing,
+ author = "Miguel Alcubierre and Bernard F. Schutz",
+ title = "Stable Numerical Techniques
+ for Hyperbolic Systems on Moving Grids",
+ journal = "Journal of Computational Physics",
+ volume = 112, X-number = "FIXME",
+ pages = "44--77",
+ year = 1994, X-month = "FIXME",
+ }
+
+@inbook
+ {
+ Alley-1982-GR-rods-and-clocks,
+ author = "Carroll O. Alley",
+ title = "Proper Time Experiments in Gravitational Fields
+ With Atomic Clocks, Aircraft, and Laser Light Pulses",
+ X-pages = "FIXME",
+ editor = "P. Meystre and M. O. Scully",
+ booktitle = "Quantum Optics, Experimental Gravitation,
+ and Measurement Theory",
+ publisher = "Plenum",
+ address = "New York",
+ year = 1982,
+ snote = "++good discussion on `rods and clocks' experiments
+ testing special/general relativity",
+ }
+
+@book
+ {
+ Ames,
+ author = "W. F. Ames",
+ title = "Numerical Methods for Partial Differential Equations",
+ edition = "2nd",
+ publisher = "Academic Press",
+ address = "New York",
+ year = "1977",
+ X-isbn = "FIXME",
+ X-note = "nice elementary intro",
+ }
+
+@article
+ {
+ ABBLMSSSW-1995-numerical-event-horizons,
+ author = "Peter Anninos and David H. Bernstein and Steven R. Brandt
+ and Joseph Libson and Joan \Masso{} and Edward Seidel
+ and Larry L. Smarr and Wai-Mo Suen and Paul Walker",
+ title = "Dynamics of Apparent and Event Horizons",
+ journal = "Physical Review Letters",
+ volume = 74, number = 5,
+ pages = "630--633",
+ year = 1995, month = "30 January",
+ snote = "see \cite{LMSSW-1996-numerical-event-horizons}
+ for further publication",
+ }
+
+@techreport
+ {
+ AHSSS-1994-2BH-collision-physics,
+ author = "Peter Anninos and David W. Hobill and Edward Seidel
+ and Larry L. Smarr and Wai-Mo Suen",
+ title = "The Head-On Collision of Two Equal Mass Black Holes:
+ Numerical Methods",
+ institution = "National Center for Supercomputing Applications,
+ University of Illinois at Urbana-Champaign",
+ X-institution = "University of Illinois at Urbana-Champaign",
+ department = "National Center for Supercomputing Applications",
+ year = 1994, month = "July",
+ number = "024",
+ snote = "cleaned-up version of Smarr et al's 1970s 2BH work,
+ summary of numerical methods",
+ }
+
+@article
+ {
+ AHSSS-1995-2BH-collision-physics,
+ author = "Peter Anninos and David W. Hobill and Edward Seidel
+ and Larry L. Smarr and Wai-Mo Suen",
+ title = "The Head-On Collision of Two Equal Mass Black Holes",
+ journal = "Physical Review~D",
+ volume = 52, number = 4,
+ pages = "2044--2058",
+ year = 1995, month = "15 August",
+ snote = "cleaned-up version of Smarr et al's 1970s 2BH work,
+ physics results",
+ }
+
+@article
+ {
+ ACMSST-1995-FIXME,
+ author = "Peter Anninos and Karen Camarda and Joan \Masso{}
+ and Edward Seidel and Wai-Mo Suen and John Towns",
+ title = "Three-Dimensional Numerical Relativity:
+ The Evolution of Black Holes",
+ journal = "Physical Review~D",
+ volume = 52, number = 4,
+ pages = "2059--2082",
+ year = 1995, month = "15 August",
+ }
+
+@article
+ {
+ ACLMSS-1998-horizon-finding,
+ author = "Peter Anninos and Karen Camarda and Joseph Libson
+ and Joan \Masso{} and Edward Seidel and Wai-Mo Suen",
+ title = "Finding Apparent Horizons
+ in Dynamic {3D} Numerical Spacetimes",
+ journal = "Physical Review~D",
+ volume = 58, number = 2,
+ year = 1998, month = "15 August",
+ pages = "024003 (12 pages)",
+ eprint = "gr-qc/9609059",
+ }
+
+@article
+ {
+ ADMSS-1995-BHE,
+ author = "Peter Anninos and Greg Daues and Joan \Masso{}
+ and Edward Seidel and Wai-Mo Suen",
+ title = "Horizon Boundary Condition for Black Hole Spacetimes",
+ journal = "Physical Review~D",
+ volume = 51, number = 10,
+ pages = "5562--5578",
+ year = 1995, month = "15 May",
+ eprint = "gr-qc/9512069",
+ snote = "see \cite{Seidel-Suen-1992-BHE} for initial publication",
+ }
+
+@incollection
+ {
+ ADM-1962,
+ author = "R. Arnowitt and S. Deser and Charles W. Misner",
+ title = "The Dynamics of General Relativity",
+ pages = "227--265",
+ editor = "L. Witten",
+ booktitle = "Gravitation: An Introduction to Current Research",
+ publisher = "Wiley",
+ address = "New York",
+ year = 1962,
+ }
+
+@incollection
+ {
+ Ashby-in-GR15,
+ author = "Neil Ashby",
+ title = "Relativistic Effects in the Global Positioning System",
+ pages = "231--258",
+ editor = "Naresh Dadhich and Jayant Narlikar",
+ booktitle = "Gravitation and Relativity:
+ At the Turn of the Millennium",
+ booksubtitle = "Proceedings of the GR-15 Conference
+ held at IUCAA, Pune, India,
+ during December 16--21, 1997",
+ publisher = "Inter-University Center for Astronomy and Astrophysics",
+ address = "Post Bag 4, Ganeshkhind, Pune 411 007, India",
+ year = 1998,
+ isbn = "81-900378-3-8",
+ note = "available online at
+ http://www.colorado.edu/engineering/GPS/Papers/RelativityinGPS.ps",
+ }
+
+%
+% === B ===
+%
+
+@techreport
+ {
+ BBCLT-2001-Lazarus-waveforms,
+ author = "John Baker and Bernd \Bruegmann{} and Manuela Campanelli
+ and Carlos O.~Lousto and Ryoji Takahashi",
+ title = "Plunge Waveforms from Inspiralling Binary Black Holes",
+ year = 2001, month = "9 February",
+ number = "AEI-2001-009",
+ eprint = "gr-qc/0102037",
+ snote = "Lazarus results from maximal 2BH evolution + perturbation",
+ }
+
+@article
+ {
+ Baker-Campanelli-2000-speciality-index,
+ author = "John Baker and Manuela Campanelli",
+ title = "Making Use of Geometrical Invariants in Black Hole Collisions",
+ journal = "Physical Review~D",
+ year = 2000, month = "1 November",
+ volume = 62, number = 12,
+ pages = "127501 (4 Pages)",
+ eprint = "gr-qc/0003031",
+ snote = "speciality index to see how close slice is to Kerr",
+ }
+
+@book
+ {
+ Bancel-Signore,
+ author = "Daniel Bancel and Monique Signore",
+ title = "Problems of Collapse and Numerical Relativity",
+ publisher = "Reidel",
+ address = "Dordrecht (Netherlands)",
+ year = 1986,
+ isbn = "90-277-1816-4",
+ snote = "NATO ASI Series;
+ Series C: Mathematical and Physical Sciences, Volume 134;
+ Proceedings of the NATO Advanced Research Workshop on
+ Problems of Collapse and Numerical Relativity,
+ 7--11 November 1983;
+ gift (with inscription) from Goldie",
+ }
+
+@article
+ {
+ Bardeen-Piran-1983-axisymmetry-coords-review,
+ author = "James M. Bardeen and Tsvi Piran",
+ title = "General Relativistic Axisymmetric Rotating Systems:
+ Coordinates and Equations",
+ journal = "Physics Reports (Review Section of Physics Letters)",
+ volume = 96, number = 4,
+ pages = "205--250",
+ year = 1983, X-month = "FIXME",
+ snote = "++good review of freezing slicings,
+ associated spatial coordinate conditions,
+ also regularity at the origin",
+ }
+
+@article
+ {
+ BCSST-1996-horizon-finding,
+ author = "Thomas W. Baumgarte and Gregory B. Cook and Mark A. Scheel
+ and Stuart L. Shapiro and Saul A. Teukolsky",
+ title = "Implementing an Apparent-Horizon Finder in Three Dimensions",
+ journal = "Physical Review~D",
+ volume = 54, number = 8,
+ pages = "4849--4857",
+ year = 1996, month = "15 October",
+ }
+
+@article
+ {
+ Baumgarte-Shapiro-1999-BSSN,
+ author = "Thomas W. Baumgarte and Stuart L. Shapiro",
+ title = "Numerical Integration of {E}instein's Field Equations",
+ journal = "Physical Review~D",
+ year = 1999, month = "15 January",
+ volume = 59, number = 1,
+ pages = "024007 (7 pages)",
+ eprint = "gr-qc/9810065",
+ snote = "popularized what is now called BSSN formulation,
+ see also Shibata-Nakamura-1995-BSSN",
+ }
+
+@phdthesis
+ {
+ Berger-PhD,
+ author = "Marsha J. Berger",
+ title = "Adaptive Mesh Refinement
+ for Hyperbolic Partial Differential Equations",
+ supervisor = "Joseph Oliger",
+ school = "Stanford University",
+ department = "Computer Science",
+ year = 1982, month = "August",
+ snote = "University Microfilms Order \#DA 83-01196",
+ }
+
+@article
+ {
+ Berger-Oliger-1984-adaptive-gridding,
+ author = "Marsha J. Berger and Joseph Oliger",
+ title = "Adaptive Mesh Refinement
+ for Hyperbolic Partial Differential Equations",
+ journal = "Journal of Computational Physics",
+ volume = 53, X-number="FIXME",
+ pages = "484--512",
+ year = 1984, X-month = "FIXME",
+ }
+
+@article
+ {
+ Berger-Jameson-1985-adaptive-gridding,
+ author = "Marsha J. Berger and Antony Jameson",
+ title = "Automatic Adaptive Grid Refinement for the {E}uler Equations",
+ journal = "American Institute of Aeronautics and Astronautics Journal",
+ volume = 23, number=4,
+ pages = "561--568",
+ year = 1985, month = "April",
+ }
+
+@article
+ {
+ Berger-1986-adaptive-gridding-data-structures,
+ author = "Marsha J. Berger",
+ title = "Data Structures for Adaptive Grid Generation",
+ journal = "SIAM Journal of Scientific and Statistical Computing",
+ volume = 7, number=3,
+ pages = "904--916",
+ year = 1986, month = "July",
+ }
+
+@book
+ {
+ Bergmann,
+ author = "Peter G. Bergmann",
+ title = "The Riddle of Gravitation",
+ edition = "Revised and Updated",
+ publisher = "Dover",
+ X-publisher-original = "Scribner's (1968, 1987)",
+ address = "New York",
+ year = "1968, 1987, 1992",
+ isbn = "0-486-27378-4",
+ }
+
+@phdthesis
+ {
+ Bernstein-PhD,
+ author = "David H. Bernstein",
+ title = "A Numerical Study of the
+ Black Hole Plus {B}rill Wave Spacetime",
+ supervisor = "Larry L. Smarr",
+ school = "University of Illinois at Urbana-Champaign",
+ department = "Physics",
+ year = 1993, X-month = "FIXME",
+ }
+
+@incollection
+ {
+ Bernstein-Hobill-Smarr-1989-in-Frontiers,
+ author = "David H. Bernstein and David W. Hobill and Larry L. Smarr",
+ title = "Black Hole Spacetimes: Testing Numerical Relativity",
+ pages = "57--73",
+ editor = "Charles R. Evans and Lee S. Finn and David W. Hobill",
+ booktitle = "Frontiers in Numerical Relativity",
+ publisher = "Cambridge University Press",
+ address = "Cambridge (UK)",
+ year = 1989,
+ isbn = "0-521-36666-6",
+ note = "Proceedings of the International Workshop on Numerical
+ Relativity, University of Illinois at Urbana-Champaign
+ (Urbana-Champaign, Illinois, USA), 9--13 May 1988",
+ }
+
+@techreport
+ {
+ Bernstein-Bartnik-1995-sssf,
+ author = "David H. Bernstein and Robert Bartnik",
+ title = "A Research in Progress Report on the Evolution
+ of Spherically Symmetric $\sf {SU}(2)$
+ {E}instein-{Y}ang-{M}ills Fields",
+ institution = "Department of Mathematics, Statistics,
+ and Computing Science,
+ University of New England (NSW, Australia)",
+ X-institution = "University of New England (NSW, Australia)",
+ department = "Department of Mathematics, Statistics,
+ and Computing Science",
+ year = 1995, month = "1 March",
+ snote = "spherically symmetric scalar field evolution, not BHE",
+ }
+
+@techreport
+ {
+ Bizon-1999-existence-of-self-similar-sigma-CSS-solutions,
+ author = "Piotr \Bizon",
+ title = "Equivariant Self-Similar Wave Maps
+ from {M}inkowski Spacetime into 3-Sphere",
+ institution = "Jagellonian University, Krak\'ow, Poland",
+ department = "Institute of Physics",
+ year = 1999, month = "October",
+ eprint = "math-ph/9910026",
+ number = "math-ph/9910026",
+ }
+
+@misc
+ {
+ Bizon-1999-CSS-exists-for-beta-up-to-0.62,
+ author = "Piotr \Bizon",
+ type = "Personal communication",
+ year = 1999,
+ note = "Personal communication",
+ }
+
+@phdthesis
+ {
+ Blackburn-PhD,
+ author = "James Kent Blackburn",
+ title = "The Spiralling Binary System of Black Holes",
+ supervisor = "Steven Detweiler",
+ school = "University of Florida",
+ department = "Physics",
+ year = 1990,
+ snote = "University Microfilms Order \#DA 91-06392",
+ }
+
+@article
+ {
+ 2BH-grand-challenge-alliance-1998-moving-BH,
+ author = "The Binary Black Hole Grand Challenge Alliance:
+ Gregory B. Cook and Mijan F. Huq
+ and Scott A. Klasky and Mark A. Scheel
+ and Andrew M. Abrahams and A. Anderson
+ and Peter Anninos and Thomas W. Baumgarte
+ and Nigel T. Bishop and Steven R. Brandt
+ and J. C. Browne and Karen Camarda
+ and Matthew W. Choptuik and Charles Ross Evans
+ and Lee S. Finn and G. C. Fox
+ and Roberto \Gomez{} and T. Haupt
+ and L. E. Kidder and Pablo Laguna
+ and Walter Landry and Luis R. Lehner
+ and Jon Lenaghan and Robert L. Marsa
+ and Joan \Masso{} and Richard A. Matzner
+ and S. Mitra and Philippos Papadopoulos
+ and M. Parashar and Luciano Rezzolla
+ and M. E. Rupright and F. Saied
+ and P. E. Saylor and Edward Seidel
+ and Stuart L. Shapiro and Deirdre Shoemaker
+ and Larry Lee Smarr and Wai-Mo Suen
+ and B. Szilagyi and Saul A. Teukolsky
+ and M. H. P. M. van Putten and Paul Walker
+ and Jeffrey Winicour and York, Jr., James W.",
+ key = "Binary Black Hole Grand Challenge Alliance",
+ title = "Boosted Three-Dimensional Black-Hole Evolutions
+ With singularity Excision",
+ journal = "Physical Review Letters",
+ volume = 80, X-number = "FIXME",
+ pages = "2512--2516",
+ year = 1998, X-month = "FIXME",
+ }
+
+@article
+ {
+ Bona-Masso-1988-harmonic-coords,
+ author = "C. Bona and Joan \Masso{}",
+ title = "Harmonic Synchronizations of Spacetime",
+ journal = "Physical review D",
+ volume = 38, number = 8,
+ pages = "2419--2422",
+ year = 1988, month = "15 October",
+ }
+
+@article
+ {
+ Bona-Masso-1989-3+1-eqns-balance-form,
+ author = "C. Bona and Joan \Masso{}",
+ title = "{E}instein's Evolution Equations as a System of Balance laws",
+ journal = "Physical review D",
+ volume = 40, number = 4,
+ pages = "1022--1026",
+ year = 1989, month = "15 August",
+ }
+
+@article
+ {
+ Bona-Masso-1992-3+1-eqns-hyperbolic-form,
+ author = "Charles Garcia Bona and Joan \Masso{}",
+ title = "Hyperbolic Evolution System for Numerical Relativity",
+ journal = "Physical Review Letters",
+ volume = 68, number = 8,
+ pages = "1097--1099",
+ year = 1992, month = "24 February",
+ }
+
+@phdthesis
+ {
+ Bowen-PhD,
+ author = "Jeffrey M. Bowen",
+ title = "Initial Value Problems on Non-{E}uclidean Topologies",
+ X-supervisor = "James W. York, Jr.",
+ supervisor = "York, Jr., James W.",
+ school = "University of North Carolina at Chapel Hill",
+ department = "Physics and Astronomy",
+ year = 1979,
+ }
+
+@article
+ {
+ Bowen-1979-momentum-constraint-analytical-soln,
+ author = "Jeffrey M. Bowen",
+ title = "General Form for the Longitudinal Momentum
+ of a Spherically Symmetric Source",
+ journal = "General Relativity and Gravitational",
+ volume = 11, number = 3,
+ pages = "227--231",
+ year = 1979, X-month = "FIXME",
+ }
+
+@article
+ {
+ Bowen-1982-momentum-constraint-analytical-soln,
+ author = "Jeffrey M. Bowen",
+ title = "General Solution for Flat-Space Longitudinal Momentum",
+ journal = "General Relativity and Gravitational",
+ volume = 14, number = 12,
+ pages = "1183--1191",
+ year = 1982, X-month = "FIXME",
+ }
+
+@article
+ {
+ Bowen-1985-N-BH-initial-data,
+ author = "Jeffrey M. Bowen",
+ title = "Inversion Symmetric Initial Data for $N$ Charged Black Holes",
+ journal = "Annals of Physics",
+ volume = 165, X-number = "FIXME",
+ pages = "17--37",
+ year = 1985, X-month = "FIXME",
+ }
+
+@article
+ {
+ Bowen-Rauber-York-1984-2BH-initial-data,
+ X-author = "Jeffrey M. Bowen and Joel D. Rauber and James W. York, Jr.",
+ author = "Jeffrey M. Bowen and Joel D. Rauber and York, Jr., James W.",
+ title = "Two Black Holes with Axisymmetric Parallel Spins:
+ Initial Data",
+ journal = "Classical and Quantum Gravity",
+ volume = 1, X-number = "FIXME",
+ pages = "591--610",
+ year = 1984, X-month = "FIXME",
+ }
+
+@article
+ {
+ Bowen-York-1980-2BH-initial-data,
+ X-author = "Jeffrey M. Bowen and James W. York, Jr.",
+ author = "Jeffrey M. Bowen and York, Jr., James W.",
+ title = "Time-Symmetric Initial Data for Black Holes
+ and Black Hole Collisions",
+ journal = "Physical Review~D",
+ volume = 21, number = 8,
+ pages = "2047--2056",
+ year = 1980, X-month = "FIXME",
+ }
+
+@book
+ {
+ Boyd:pseudospectral,
+ author = "John P. Boyd",
+ title = "{C}hebyshev \& {F}ourier Spectral Methods",
+ series = "Lecture Notes in Engineering",
+ volume = 49,
+ publisher = "Springer-Verlag",
+ address = "Berlin",
+ year = "1989",
+ isbn = "3-540-51487-2",
+ snote = "Appendix C is Newton-Kantorovich method for nonlinear PDEs",
+ }
+
+@article
+ {
+ Brandt-etal-2000-2BH-BHE-grazing,
+ author = "Steve Brandt and Randall Correll and Roberto Gomez
+ and Mijan Huq and Pablo Laguna and Luis Lehner
+ and Pedro Marronetti and Richard A. Matzner and David Neilsen
+ and Jorge Pullin and Erik Schnetter and Deirdre Shoemaker
+ and Jeffrey Winicour",
+ title = "Grazing Collisions of Black Holes
+ via the Excision of Singularities",
+ journal = "Physical Review Letters",
+ volume = 85, number = 26,
+ year = 2000, month = "25 December",
+ pages = "5496--5499",
+ snote = "BHE, evolved to $t \approx 35m$",
+ eprint = "gr-qc/0009047",
+ }
+
+@incollection
+ {
+ Brady-Cai-1999-critical-phenomena-review,
+ author = "Patrick R. Brady and Mike J. Cai",
+ title = "Critical Phenomena in Gravitational Collapse",
+ pages = "689--704",
+ editor = "Tsvi Piran and Remo Ruffini",
+ booktitle = "Proceedings of the Eighth Marcel Grossmann Meeting",
+ publisher = "World Scientific",
+ address = "Singapore",
+ year = 1989,
+ isbn = "981-02-3793-6 (set), 981-02-3954-8 (part~B)",
+ }
+
+@techreport
+ {
+ Brankin-Gladwell-Shampine-1992-RKSUITE-codes,
+ author = "R. W. Brankin and I. Gladwell and Lawrence F. Shampine",
+ title = "RKSUITE: A suite of {R}unge-{K}utta codes for the
+ Initial Value Problem for {ODE}s",
+ institution = "Department of Mathematics,
+ Southern Methodist University",
+ X-institution = "Southern Methodist University",
+ department = "Department of Mathematics",
+ year = 1992, X-month = "FIXME",
+ number = "92-S1",
+ }
+
+@book
+ {
+ Bridgman,
+ author = "Percy W. Bridgman",
+ title = "A Sophisticate's Primer of Relativity",
+ edition = "2nd",
+ publisher = "Wesleyan University Press",
+ address = "Middletown, Connecticut",
+ year = "1968, 1983",
+ isbn = "0-8195-6078-2",
+ snote = "foundations of special relativity",
+ }
+
+@article
+ {
+ Brill-Lindquist-1963-Misner-initial-data-energy,
+ author = "Dieter R. Brill and Richard W. Lindquist",
+ title = "Interaction Energy in Geometrostatics",
+ journal = "Physical Review",
+ volume = 131, number = 1,
+ pages = "471--476",
+ year = 1963, month = "1 July",
+ }
+
+@article
+ {
+ Bruegmann-2000-review,
+ author = "Bernd \Bruegmann{}",
+ title = "Numerical Relativity in 3+1 Dimensions",
+ journal = "Annalen der Physik",
+ volume = 9, X-number = "FIXME",
+ pages = "227--246",
+ year = 2000, X-month = "FIXME",
+ eprint = "gr-qc/9912009",
+ note = "invited review talk at Journees Relativistes 1999",
+ }
+
+@article
+ {
+ Bruegmann-1996-adaptive-gridding,
+ author = "Bernd \Bruegmann{}",
+ title = "Adaptive Mesh and Geodesically Sliced
+ {S}chwarzschild Spacetime in $3+1$ Dimensions",
+ journal = "Physical Review~D",
+ volume = 54, number = 6,
+ pages = "7361--7372",
+ year = 1996, month = "15 December",
+ eprint = "gr-qc/9608050",
+ }
+
+@book
+ {
+ Butkov,
+ author = "Eugene Butkov",
+ title = "Mathematical Physics",
+ publisher = "Addison-Wesley",
+ address = "Reading, Massachusetts",
+ year = 1968,
+ isbn = "0-201-00727-4",
+ }
+
+@article
+ {
+ Byrne-Hindmarsh-1987-stiff-ODE-review,
+ author = "G. D. Byrne and Alan C. Hindmarsh",
+ title = "Stiff {ODE} Solvers: A Review of Current
+ and Coming Attractions",
+ journal = "Journal of Computational Physics",
+ volume = 70, number = 1,
+ pages = "1--62",
+ year = 1987, X-month = "FIXME",
+ }
+
+%
+% === C ===
+%
+
+@phdthesis
+ {
+ Cadez-PhD,
+ author = "Andrej \Cadez{}",
+ title = "Colliding Black Holes",
+ supervisor = "Bryce S. DeWitt",
+ school = "University of North Carolina at Chapel Hill",
+ department = "Physics",
+ year = 1971,
+ snote = "University Microfilms Order \#DA 72-10696",
+ }
+
+@techreport
+ {
+ Campanelli-etal-2000-Kerr-perturbations-in-Kerr-coords,
+ author = "Manuela Campanelli and Gaurav Khanna and Pablo Laguna
+ and Jorge Pullin and Michael P. Ryan",
+ title = "Perturbations of the {K}err Spacetime
+ in Horizon Penetrating Coordinates",
+ year = 2000, month = "10 October",
+ number = "AEI-2000-062, CGPG-00/10-01",
+ eprint = "gr-qc/0010034",
+ snote = "Lazarus project: perturbations of Kerr metric
+ in Kerr-Schild coords; ideal for BHE",
+ }
+
+@book
+ {
+ Canuto-Hussaini-Quarteroni-Zang:pseudospectral,
+ author = "Claudio Canuto and M. Yousuff Hussani
+ and Alfio Quarteroni and Thomas A. Zang",
+ title = "Spectral Methods in Fluid Dynamics",
+ edition = "2nd Printing",
+ publisher = "Springer-Verlag",
+ address = "New York and Berlin",
+ year = 1988,
+ isbn = "3-540-52205-0 (Berlin), 0-387-52205-0 (New York)",
+ }
+
+@inbook
+ {
+ Carver-1976-MOL-intro,
+ author = "M. B. Carver",
+ title = "The Choice of Algorithms in Automated Method of Lines
+ Solution of Partial Differential Equations",
+ pages = "243--265",
+ editor = "W. Lapidus and W. E. Schiesser",
+ booktitle = "Numerical Methods for Differential Systems:
+ Recent Developments in Algorithms, Software,
+ and Applications",
+ publisher = "Academic Press",
+ address = "New York",
+ year = 1976,
+ isbn = "0-12-436640-6",
+ snote = "fairly good short MOL intro",
+ }
+
+@incollection
+ {
+ CSEHT-1986-in-Centrella,
+ author = "Joan M. Centrella and Stuart L. Shapiro
+ and Charles R. Evans and John F. Hawley
+ and Saul A. Teukolsky",
+ title = "Test-Bed Calculations in Numerical Relativity",
+ pages = "328--344",
+ editor = "Joan M. Centrella",
+ booktitle = "Dynamical Spacetimes and Numerical Relativity",
+ publisher = "Cambridge University Press",
+ address = "Cambridge, UK",
+ year = 1986,
+ isbn = "0-521-32860-8",
+ note = "Proceedings of the Workshop on Dynamical Spacetimes and
+ Numerical Relativity, Drexel University (Philadelphia,
+ Pennsylvania, USA), 7--11 October 1985",
+ }
+
+@book
+ {
+ Chen-Cook,
+ author = "Y. T. Chen and Alan Cook",
+ title = "Gravitational Experiments in the Laboratory",
+ publisher = "Cambridge University Press",
+ address = "Cambridge (UK)",
+ year = 1993,
+ isbn = "0-521-39171-7",
+ snote = "experimental techniques for Cavendish balances etal,
+ and reviews of various older and recent experiments",
+ }
+
+@mastersthesis
+ {
+ Choptuik-MSc,
+ author = "Matthew W. Choptuik",
+ title = "A Study of Numerical Techniques
+ for the Initial Value Problem of General Relativity",
+ supervisor = "William G. Unruh",
+ school = "University of British Columbia",
+ department = "Physics",
+ year = 1982, month = "November",
+ }
+
+@phdthesis
+ {
+ Choptuik-PhD,
+ author = "Matthew W. Choptuik",
+ title = "A Study of Numerical Techniques
+ for Radiative Problems in General Relativity",
+ supervisor = "William G. Unruh",
+ school = "University of British Columbia",
+ department = "Physics",
+ year = 1986, month = "July",
+ }
+
+@article
+ {
+ Choptuik-Unruh-1986-multigrid,
+ author = "Matthew W. Choptuik and William G. Unruh",
+ title = "An Introduction to the Multi-Grid Method
+ for Numerical Relativists",
+ journal = "General Relativity and Gravitation",
+ volume = 18, number = 8,
+ pages = "813--843",
+ year = 1986, month = "August",
+ }
+
+@incollection
+ {
+ Choptuik-1989-in-Frontiers,
+ author = "Matthew W. Choptuik",
+ title = "Experiences With an Adaptive Mesh Refinement Algorithm
+ in Numerical Relativity",
+ pages = "206--221",
+ editor = "Charles R. Evans and Lee S. Finn and David W. Hobill",
+ booktitle = "Frontiers in Numerical Relativity",
+ publisher = "Cambridge University Press",
+ address = "Cambridge (UK)",
+ year = 1989,
+ isbn = "0-521-36666-6",
+ note = "Proceedings of the International Workshop on Numerical
+ Relativity, University of Illinois at Urbana-Champaign
+ (Urbana-Champaign, Illinois, USA), 9--13 May 1988",
+ }
+
+@article
+ {
+ Choptuik-1991-consistency,
+ author = "Matthew W. Choptuik",
+ title = "Consistency of Finite-Difference Solutions
+ of {E}instein's Equations",
+ journal = "Physical Review~D",
+ volume = 44, number = 10,
+ pages = "3124--3135",
+ year = 1991, month = "15 November",
+ }
+
+@incollection
+ {
+ Choptuik-1992-in-dInverno,
+ author = "Matthew W. Choptuik",
+ title = "``{C}ritical'' Behavior in Massless Scalar Field Collapse",
+ pages = "202--222",
+ editor = "Ray d'Inverno",
+ booktitle = "Approaches to Numerical Relativity",
+ publisher = "Cambridge University Press",
+ address = "Cambridge (UK)",
+ year = 1992,
+ isbn = "0-521-43976-0",
+ note = "Proceedings of the International Workshop on Numerical
+ Relativity, Southampton University (Southampton, England),
+ 16--20 December 1991",
+ }
+
+@misc
+ {
+ Choptuik-1992-remark-multipass-time-evolution,
+ author = "Matthew W. Choptuik",
+ type = "private conversation with Jonathan Thornburg",
+ organization = "University of Texas at Austin, Center for Relativity",
+ year = 1992,
+ note = "personal communication",
+ snote = "Matt Choptuik's suggestion that an initial low-resolution
+ time evolution could be used to approximately locate the BHs
+ and/or AHs for a later high-resolution black-hole-exclusion
+ evolution.",
+ }
+
+@misc
+ {
+ Choptuik-1992-live-coord-instability-explanation,
+ author = "Matthew W. Choptuik",
+ type = "private conversation with Jonathan Thornburg",
+ organization = "University of Texas at Austin, Center for Relativity",
+ year = 1992,
+ note = "personal communication",
+ snote = "Matt Choptuik's ``live-coordinate instability'' argument
+ that coordinate conditions *do* influence stability of
+ $3+1$ time evolution. See section 8.5.3 of Thornburg-PhD.",
+ }
+
+@misc
+ {
+ Choptuik-1993-generalized-EF-slicing-suggestion,
+ author = "Matthew W. Choptuik",
+ type = "private conversation with Jonathan Thornburg",
+ organization = "University of Texas at Austin, Center for Relativity",
+ year = 1993,
+ note = "personal communication",
+ snote = "Matt Choptuik's suggestion to me of generalized
+ Eddington-Finkelstein slicing, defined by requiring
+ $t+r$ to be an (ingoing) null coordinate.",
+ }
+
+@article
+ {
+ Choptuik-1993-self-similarity,
+ author = "Matthew W. Choptuik",
+ title = "Universality and Scaling in Gravitational Collapse
+ of a Massless Scalar Field",
+ journal = "Physical Review Letters",
+ volume = 70, X-number = "FIXME",
+ pages = "9--12",
+ year = 1993, X-month = "FIXME",
+ }
+
+@incollection
+ {
+ Choptuik-1998-self-similarity-review-in-GR15,
+ author = "Matthew W. Choptuik",
+ title = "The (Unstable) Threshold of Black Hole Formation",
+ pages = "67--85",
+ editor = "Naresh Dadhich and Jayant Narlikar",
+ booktitle = "Gravitation and Relativity:
+ At the Turn of the Millennium",
+ booksubtitle = "Proceedings of the GR-15 Conference
+ held at IUCAA, Pune, India,
+ during December 16--21, 1997",
+ publisher = "Inter-University Center for Astronomy and Astrophysics",
+ address = "Post Bag 4, Ganeshkhind, Pune 411 007, India",
+ year = 1998,
+ isbn = "81-900378-3-8",
+ }
+
+@article
+ {
+ Choptuik-Chmaj-Bizon-1996-EYM-critical-behavior,
+ author = "Matthew W. Choptuik and Tadeusz Chmaj and Piotr \Bizon{}",
+ title = "Critical Behaviour in Gravitational Collapse
+ of a {Y}ang-{M}ills Field",
+ journal = "Physical Review Letters",
+ volume = 77, X-number = "FIXME",
+ pages = "424--427",
+ year = 1996, X-month = "FIXME",
+ }
+
+@article
+ {
+ Choptuik-Goldwirth-Piran-1992-sssf-cmp-3+1-vs-2+2,
+ author = "Matthew W. Choptuik and Dalia S. Goldwirth and Tsvi Piran",
+ title = "A Direct Comparison of Two Codes in Numerical Relativity",
+ journal = "Classical and Quantum Gravity",
+ volume = 9, X-number = "FIXME",
+ pages = "721--750",
+ year = 1992, X-month = "FIXME",
+ }
+
+@article
+ {
+ Christoudolou-1986a-sssf,
+ author = "D. Christoudolou",
+ X-title = "FIXME",
+ journal = "Communications in Mathematical Physics",
+ volume = 105, X-number = "FIXME",
+ pages = "337", X-ending-page="FIXME",
+ year = 1986, X-month = "FIXME",
+ }
+
+@article
+ {
+ Christoudolou-1986b-sssf,
+ author = "D. Christoudolou",
+ X-title = "FIXME",
+ journal = "Communications in Mathematical Physics",
+ volume = 106, X-number = "FIXME",
+ pages = "587", X-ending-page="FIXME",
+ year = 1986, X-month = "FIXME",
+ }
+
+@article
+ {
+ Christoudolou-1987a-sssf,
+ author = "D. Christoudolou",
+ X-title = "FIXME",
+ journal = "Communications in Mathematical Physics",
+ volume = 109, X-number = "FIXME",
+ pages = "591", X-ending-page="FIXME",
+ year = 1987, X-month = "FIXME",
+ }
+
+@article
+ {
+ Christoudolou-1987b-sssf,
+ author = "D. Christoudolou",
+ X-title = "FIXME",
+ journal = "Communications in Mathematical Physics",
+ volume = 109, X-number = "FIXME",
+ pages = "613--647",
+ year = 1987, X-month = "FIXME",
+ }
+
+@article
+ {
+ Christoudolou-1991-sssf,
+ author = "D. Christoudolou",
+ title = "The Formation of Black Holes and Singularities
+ in Spherically Symmetric Gravitational Collapse",
+ journal = "Communications on Pure and Applied Mathematics",
+ volume = 44, X-number = "FIXME",
+ pages = "339--373",
+ year = 1991, X-month = "FIXME",
+ }
+
+@article
+ {
+ Christoudolou-1993-sssf,
+ author = "D. Christoudolou",
+ title = "Bounded Variation Solutions of the
+ Spherically Symmetric {E}instein-Scalar Field Equations",
+ journal = "Communications on Pure and Applied Mathematics",
+ volume = 46, X-number = "FIXME",
+ pages = "1131--1220",
+ year = 1993, X-month = "FIXME",
+ }
+
+@article
+ {
+ Ciment-Leventhal-1975-4th-order-compact-FD,
+ author = "Melvyn Ciment and Stephen H. Leventhal",
+ title = "Higher Order Compact Implicit Schemes for the Wave Equation",
+ journal = "Mathematics of Computation",
+ volume = 29, number = 132,
+ pages = "985--994",
+ year = 1975, month = "October",
+ snote = "model problem, $O(dx^4 + dt^4)$,
+ 2D wave equation in 2nd order quasilinear form
+ dtt(u) = a(x,y,t) dxx(u) + b(x,y,t) dyy(u)",
+ }
+
+@book
+ {
+ Cody-Waite,
+ X-author = "William J. Cody, Jr. and William Waite",
+ author = "Cody, Jr., William J. and William Waite",
+ title = "Software Manual for the Elementary Functions",
+ publisher = "Prentice-Hall",
+ address = "Englewood Cliffs",
+ year = 1980,
+ ISBN = "0-13-822064-6",
+ snote = "pretty elementary and cookbook-style",
+ }
+
+@phdthesis
+ {
+ Cook-PhD,
+ author = "Gregory B. Cook",
+ title = "Initial Data for the Two-Body Problem of General Relativity",
+ X-supervisor = "James W. York, Jr.",
+ supervisor = "York, Jr., James W.",
+ school = "University of North Carolina at Chapel Hill",
+ department = "Physics and Astronomy",
+ year = 1990,
+ snote = "University Microfilms Order \#DA 91-06088",
+ }
+
+@article
+ {
+ Cook-1991-2BH-initial-data,
+ author = "Gregory B. Cook",
+ title = "Initial Data for Axisymmetric Black-Hole Collisions",
+ journal = "Physical Review~D",
+ volume = 44, number = 10,
+ pages = "2983--3000",
+ year = 1991, month = "15 November",
+ }
+
+@article
+ {
+ CCDKMO-1993-3D-2BH-initial-data,
+ author = "Gregory B. Cook and Matthew W. Choptuik
+ and Mark R. Dubal and Scott A. Klasky
+ and Richard A. Matzner and Samuel R. Oliveira",
+ title = "Three-Dimensional Initial Data for the Collision
+ of Two Black Holes",
+ journal = "Physical Review~D",
+ volume = 47, number = 4,
+ pages = "1471--1490",
+ year = 1993, month = "15 February",
+ }
+
+%
+% === D ===
+%
+
+@incollection
+ {
+ Damouor-1987-in-300-years-of-gravitation,
+ author = "Thibault Damour",
+ title = "The problem of motion
+ in {N}ewtonian and {E}insteinian gravity",
+ pages = "128--198",
+ editor = "Stephen W. Hawking and Werner Israel",
+ booktitle = "Three Hundred Years of Gravitation",
+ publisher = "Cambridge University Press",
+ address = "Cambridge (UK)",
+ year = 1987,
+ isbn = "0-521-34312-7",
+ snote = "++good discussion of how to go from Einstein eqns
+ to N-body equations of motion; the effacement of the
+ internal structure of a freely falling subsystem",
+ }
+
+@article
+ {
+ Damour-Taylor-1992-GR-tests,
+ author = "Thibault Damour and J. H. Taylor",
+ title = "Strong-Field Tests of Relativistic Gravity
+ and Binary Pulsars",
+ journal = "Physical Review~D",
+ volume = 45, number = 6,
+ pages = "1840--1868",
+ year = 1992, month = "15 March",
+ snote = "detailed review of binary pulsar tests of GR",
+ }
+
+@book
+ {
+ Davies:search-for-gravity-waves,
+ author = "Paul C. W. Davies",
+ title = "The Search for Gravity Waves",
+ publisher = "Cambridge University Press",
+ address = "Cambridge (UK)",
+ year = 1980,
+ isbn = "0-521-23197-3",
+ snote = "high-school to 1st-year-university level;
+ includes Weber events and reactions to them",
+ }
+
+@book
+ {
+ Dennis-Schnabel,
+ X-author = "John E. Dennis, Jr. and Robert B. Schnabel",
+ author = "Dennis, Jr., John E. and Robert B. Schnabel",
+ title = "Numerical Methods for Unconstrained Optimization
+ and Nonlinear Equations",
+ publisher = "Prentice-Hall",
+ address = "Englewood Cliffs",
+ year = 1983,
+ ISBN = "0-13-627216-9",
+ library = "QA402.5 D44 1983",
+ snote = "++good",
+ }
+
+@book
+ {
+ Deruelle-Piran:Red,
+ editor = "Nathalie Deruelle and Tsvi Piran",
+ title = "Gravitational Radiation",
+ publisher = "North-Holland",
+ address = "Amsterdam",
+ year = 1983,
+ isbn = "0-444-86560-8",
+ }
+
+@book
+ {
+ DeWitt-DeWitt:Les-Houches,
+ author = "Cecile M. DeWitt and Bryce S. DeWitt",
+ title = "Black Holes",
+ publisher = "Gordon and Breach",
+ address = "New York",
+ year = 1973,
+ ISBN = "0-677-15610-3",
+ note = "Proceedings of the 23rd Les Houches Summer School,
+ Les Houches (France), August 1972",
+ }
+
+@book
+ {
+ DeWitt-Wheeler:Battelle,
+ author = "Cecile M. DeWitt and John A. Wheeler",
+ title = "{B}attelle {R}encontres:
+ 1967 Lectures in Mathematics and Physics",
+ publisher = "W. A. Benjamin",
+ address = "New York",
+ year = 1968,
+ LC = "68-24362",
+ }
+
+@article
+ {
+ Dickey-etal-1994-Science-LRRR-general-review,
+ author = "J. O. Dickey and P. L. Bender and J. E. Faller
+ and X X Newhall and R. L. Ricklefs and J. G. Ries
+ and P. J. Shelus and C. Veillet and A. L. Whipple
+ and J. R. Wiant and J. G. Williams and C. F. Yoder",
+ title = "Lunar Laser Ranging:
+ A Continuing Legacy of the Apollo Program",
+ journal = "Science",
+ volume = 265, X-number = "FIXME",
+ pages = "482--490",
+ year = 1994, month = "22 July",
+ }
+
+@book
+ {
+ dInverno,
+ author = "Ray d'Inverno",
+ title = "Introducing {E}instein's Relativity",
+ publisher = "Oxford University Press",
+ address = "Oxford (UK)",
+ year = 1992,
+ isbn = "0-19-859653-7 (hardcover), 0-19-859686-3 (paperback)",
+ snote = "++good, introductory but still covers a lot of material"
+ }
+
+@phdthesis
+ {
+ Dubal-PhD,
+ author = "Mark R. Dubal",
+ title = "Numerical Computations in General Relativity",
+ supervisor = "Dennis W. Sciama",
+ school = "International School for Advanced Studies (SISSA) (Trieste)",
+ department = "Physics",
+ year = 1987, month = "September",
+ }
+
+@article
+ {
+ Dubal-1992-3D-BH-initial-data,
+ author = "Mark R. Dubal",
+ title = "Construction of Three-Dimensional Black-Hole Initial Data
+ via Multiquadrics",
+ journal = "Physical Review~D",
+ volume = 45, number = 4,
+ pages = "1178--1187",
+ year = 1992, month = "15 February",
+ }
+
+@incollection
+ {
+ Dubal-Oliveira-Matzner-1992-in-dInverno,
+ author = "Mark R. Dubal and Samuel R. Oliveira and Richard A. Matzner",
+ title = "Solution of Elliptic Equations in Numerical Relativity
+ Using Multiquadrics",
+ pages = "265--280",
+ editor = "Ray d'Inverno",
+ booktitle = "Approaches to Numerical Relativity",
+ publisher = "Cambridge University Press",
+ address = "Cambridge (UK)",
+ year = 1992,
+ isbn = "0-521-43976-0",
+ note = "Proceedings of the International Workshop on Numerical
+ Relativity, Southampton University (Southampton, England),
+ 16--20 December 1991",
+ }
+
+@phdthesis
+ {
+ Dykema-PhD,
+ author = "Pieter Geer Dykema",
+ title = "The Numerical Simulation of Axially Symmetric
+ Gravitational Collapse",
+ supervisor = "Richard A. Matzner [??]",
+ school = "University of Texas at Austin",
+ department = "Physics",
+ year = 1980, month = "December",
+ snote = "University Microfilms Order \#DA 81-09156",
+ }
+
+%
+% === E ===
+%
+
+@article
+ {
+ Einstein-Rosen-1935-bridge,
+ author = "Albert Einstein and Nathan Rosen",
+ title = "The Particle Problem in the General Theory of Relativity",
+ journal = "Physical Review",
+ volume = 48, number = 10,
+ pages = "73--77",
+ year = 1935, month = "1 July",
+ snote = "should check volume/issue, also ending page number",
+ }
+
+@book
+ {
+ EISPACK-book,
+ author = "B. T. Smith and J. M. Boyle and Jack J. Dongarra
+ and B. S. Garbow and Y. Ikebe and V. C. Klema
+ and Cleve B. Moler",
+ title = "Matrix Eigensystem Routines -- EISPACK Guide",
+ edition = "2nd",
+ series = "Lecture Notes in Computer Science",
+ volume = 6,
+ publisher = "Springer-Verlag",
+ address = "Berlin and New York",
+ year = 1976,
+ isbn = "3-540-07546-1 (Berlin), 0-387-07546-1 (New York)",
+ snote = "almost impossible to find in a library catalog, since
+ it's indexed under `Smith et al' and `Matrix' :=(;
+ see \cite{EISPACK-extension-book} for further EISPACK docs",
+ }
+
+@book
+ {
+ EISPACK-extension-book,
+ author = "B. S. Garbow and J. M. Boyle and Jack J. Dongarra
+ and Cleve B. Moler",
+ title = "Matrix Eigensystem Routines -- EISPACK Guide Extension",
+ series = "Lecture Notes in Computer Science",
+ volume = 51,
+ publisher = "Springer-Verlag",
+ address = "Berlin and New York",
+ year = 1977,
+ isbn = "3-540-08254-9 (Berlin), 0-387-08254-9 (New York)",
+ snote = "see \cite{EISPACK-book} for main EISPACK docs",
+ }
+
+@phdthesis
+ {
+ Eppley-PhD,
+ author = "Kenneth Robert Eppley",
+ title = "The Numerical Evolution of the Collision of Two Black Holes",
+ supervisor = "Bryce S. DeWitt [??]",
+ school = "Princeton University",
+ department = "Physics",
+ year = 1975, month = "September",
+ snote = "FIXME -- was Bryce indeed the supervisor?
+ (the thesis itself doesn't seem to say)",
+ }
+
+@phdthesis
+ {
+ Evans-PhD,
+ author = "Charles Ross Evans",
+ title = "A Method for Numerical Relativity:
+ Simulation of Axisymmetric Gravitational Collapse
+ and Gravitational Radiation Generation",
+ supervisor = "Richard A. Matzner",
+ school = "University of Texas at Austin",
+ department = "Physics",
+ year = 1984, month = "August",
+ snote = "University Microfilms Order \#DA 85-08264",
+ }
+
+%
+% === F ===
+%
+
+@inbook
+ {
+ Fock-1959-radiation-BCs,
+ author = "Vladimir A. Fock",
+ booktitle = "The Theory of Space, Time, and Gravitation",
+ publisher = "Pergamon Press",
+ address = "New York",
+ year = 1959,
+ X-isbn = "no ISBN",
+ title = "A Comparison with the Statement of the Problem
+ in Newtonian Theory. Boundary Conditions",
+ section = 54, pages = "176-179",
+ snote = "US~Library of Congress \#58-12666",
+ }
+
+@book
+ {
+ Forsythe-Malcolm-Moler,
+ author = "George E. Forsythe and Michael A. Malcolm
+ and Cleve B. Moler",
+ title = "Computer Methods for Mathematical Computations",
+ publisher = "Prentice-Hall",
+ address = "Englewood Cliffs",
+ year = 1977,
+ isbn = "0-13-165332-6",
+ snote = "See \cite{Kahaner-Moler-Nash} for a greatly revised
+ and expanded successor. IMHO both books are still
+ valuable, though.",
+ }
+
+@book
+ {
+ Forsythe-Moler,
+ author = "George E. Forsythe and Cleve B. Moler",
+ title = "Computer Solution of Linear Algebraic Systems",
+ publisher = "Prentice-Hall",
+ address = "Englewood Cliffs",
+ year = 1967,
+ LC = "67-18915",
+ snote = "old, elementary, ++good; beautiful (and very gentle)
+ walk-through of conditioning, LU decomposition, etc",
+ }
+
+
+%
+% === G ===
+%
+
+@article
+ {
+ Garfinkle-1995-sssf-2+2-self-similarity,
+ author = "David Garfinkle",
+ title = "Choptuik scaling in null coordinates",
+ journal = "Physical Review~D",
+ volume = 51, number = "10",
+ pages = "5558-5561",
+ year = 1995, month = "15 May",
+ snote = "grid points fall in along v=const,
+ factor-of-two grid refinement (by interpolating)
+ when half of grid points lost",
+ }
+
+@techreport
+ {
+ Gary-1975-MOL-BC-4th-order,
+ author = "John Gary",
+ title = "Boundary Conditions for the Method of Lines
+ Applied to Hyperbolic Systems",
+ institution = "Department of Computer Science,
+ University of Colorado",
+ X-institution = "University of Colorado",
+ department = "Department of Computer Science",
+ year = 1975, month = "July",
+ number = "CU-CS-073-75",
+ }
+
+@incollection
+ {
+ Gary-1975-4th-order-MOL-in-Vichnevetsky,
+ author = "John Gary",
+ title = "Comparison of some Fourth Order Difference Schemes
+ for Hyperbolic Problems",
+ pages = "14--16",
+ editor = "R. Vichnevetsky",
+ booktitle = "Advances in Computer Methods
+ for Partial Differential Equations",
+ note = "Proceedings of the AICA International Symposium on
+ Computer Methods for Partial Differential Equations,
+ Lehigh University (Bethlehem, Pennsylvania, USA),
+ 17--19 June 1975",
+ publisher = "AICA",
+ address = "Dept of Computer Science, Rutgers University,
+ New Brunswick, NJ 08903, USA;
+ and University of Ghent,
+ 533 Coupure Links, B-9000 Ghent, Belgium",
+ year = 1975,
+ }
+
+@book
+ {
+ Gear-ODE-book,
+ author = "Charles William Gear",
+ title = "Numerical Initial Value Problems
+ in Ordinary Differential Equations",
+ publisher = "Prentice-Hall",
+ address = "Englewood Cliffs",
+ year = 1971,
+ isbn = "0-13-626606-1",
+ }
+
+@article
+ {
+ Gear-1981-ODE-review,
+ author = "Charles William Gear",
+ title = "{N}umerical Solution of Ordinary Differential Equations:
+ {I}s There Anything Left to Do?",
+ journal = "SIAM Review",
+ volume = 23, number = 1,
+ pages = "10--24",
+ year = 1981, month = "January",
+ }
+
+@book
+ {
+ George-Liu,
+ author = "Alan George and Joseph W. Liu",
+ title = "Computer Solution of Large Sparse Positive Definite Systems",
+ publisher = "Prentice-Hall",
+ address = "Englewood Cliffs",
+ year = 1971,
+ isbn = "0-13-165274-5",
+ snote = "analyze-factor-operate LU decomposition;
+ can also be extended to non-symmetric matrices (Choptuik);
+ data structures are very messy (Fortran pseudo-pointers);
+ programming interface is very messy"
+ }
+
+@book
+ {
+ Geroch,
+ author = "Robert Geroch",
+ title = "General Relativity from A to B",
+ publisher = "University of Chicago Press",
+ address = "Chicago and London",
+ year = 1978,
+ isbn = "0-226-28863-3 (hardcover), 0-226-28864-1 (paperback)",
+ snote = "nice general-lay-reader intro to GR",
+ }
+
+@article
+ {
+ Givoli-1991-radiation-BC-review,
+ author = "Dan Givoli",
+ title = "Non-Reflecting Boundary Conditions",
+ journal = "Journal of Computational Physics",
+ volume = 94, X-number = "FIXME",
+ pages = "1--29",
+ year = 1991, X-month = "FIXME",
+ snote = "++good general review, but nothing about GR"
+ }
+
+@article
+ {
+ Goldberg-1991-FP-article,
+ author = "David Goldberg",
+ title = "What Every Computer Scientist Should Know
+ about Floating-Point Arithmetic",
+ journal = "ACM Computing Surveys",
+ volume = 23, number = 1,
+ pages = "5--48",
+ year = 1991, month = "March",
+ snote = "++good general survey of FP details",
+ note = "Errata in {\bf 23}(3), 413;
+ entire article also available online at
+ {\tt http://www.validgh.com/goldberg/paper.ps}"
+ }
+
+@incollection
+ {
+ Goldwirth-Ori-Piran-1989-in-Frontiers,
+ author = "Dalia S. Goldwirth and Amos Ori and Tsvi Piran",
+ title = "Cosmic Censorship and Numerical Relativity",
+ pages = "414--435",
+ editor = "Charles R. Evans and Lee S. Finn and David W. Hobill",
+ booktitle = "Frontiers in Numerical Relativity",
+ publisher = "Cambridge University Press",
+ address = "Cambridge (UK)",
+ year = 1989,
+ isbn = "0-521-36666-6",
+ note = "Proceedings of the International Workshop on Numerical
+ Relativity, University of Illinois at Urbana-Champaign
+ (Urbana-Champaign, Illinois, USA), 9--13 May 1988",
+ }
+
+@article
+ {
+ Goldwirth-Piran-1987-sssf-2+2,
+ author = "Dalia S. Goldwirth and Tsvi Piran",
+ X-title = "FIXME",
+ journal = "Physical Review~D",
+ volume = 36, X-number = "FIXME",
+ pages = "3575--3581",
+ year = 1987, X-month = "FIXME",
+ }
+
+@article
+ {
+ GLPW-1996-sssf-3+1-and-2+2,
+ author = "Roberto \Gomez{} and Pablo Laguna
+ and Philippos Papadopoulos and Jeffrey Winicour",
+ title = "{C}auchy-Characteristic Evolution of
+ {E}instein-{K}lein-{G}ordon Systems",
+ journal = "Physical Review~D",
+ volume = 54, number = 8,
+ pages = "4719--4727",
+ year = 1996, month = "15 October",
+ }
+
+@incollection
+ {
+ Gomez-Winicour-1992-in-dInverno,
+ author = "Roberto \Gomez{} and Jeffrey Winicour",
+ title = "Numerical Asymptotics",
+ pages = "143--162",
+ editor = "Ray d'Inverno",
+ booktitle = "Approaches to Numerical Relativity",
+ publisher = "Cambridge University Press",
+ address = "Cambridge (UK)",
+ year = 1992,
+ isbn = "0-521-43976-0",
+ note = "Proceedings of the International Workshop on Numerical
+ Relativity, Southampton University (Southampton, England),
+ 16--20 December 1991",
+ }
+
+@article
+ {
+ Gomez-Winicour-1992-sssf-2+2-asymptotics,
+ author = "Roberto \Gomez{} and Jeffrey Winicour",
+ title = "Asymptotics of Gravitational Collapse of Scalar Waves",
+ journal = "Journal of Mathematical Physics",
+ volume = 33, number = 4,
+ pages = "1445--1457",
+ year = 1992, month = "April",
+ snote = "null-cone marching algorithm",
+ }
+
+@article
+ {
+ Gomez-Winicour-1992-sssf-2+2-numerical-methods,
+ author = "Roberto \Gomez{} and Jeffrey Winicour",
+ title = "Evolution of Scalar Fields from Characteristic Data",
+ journal = "Journal of Computational Physics",
+ volume = 98, X-number = "FIXME",
+ pages = "11", X-ending-page="FIXME",
+ year = 1992, X-month = "FIXME",
+ snote = "detailed description of null-cone marching algorithm",
+ }
+
+@article
+ {
+ Gomez-Winicour-Schmidt-1994-sssf-late-time,
+ author = "Roberto \Gomez{} and Jeffrey Winicour and Bernd G. Schmidt",
+ title = "{N}ewman-{P}enrose Constants and the Tails of
+ Self-Gravitating Waves",
+ journal = "Physical Review~D",
+ volume = 49, number = 6,
+ pages = "2828--2836",
+ year = 1994, month = "15 March",
+ snote = "power-law tails; quasinormal ringing,
+ transition from quasinormal ringing to power-law tails",
+ }
+
+@book
+ {
+ Golub-vanLoan-1st-edition,
+ author = "Gene H. Golub and Charles F. Van Loan",
+ title = "Matrix Computations",
+ edition = "1st",
+ publisher = "Johns Hopkins University Press",
+ address = "Baltimore",
+ year = 1983,
+ isbn = "0-8018-3010-9 (hardcover), 0-8018-3011-7 (paperback)",
+ }
+
+@book
+ {
+ Golub-vanLoan,
+ author = "Gene H. Golub and Charles F. Van Loan",
+ title = "Matrix Computations",
+ edition = "2nd",
+ publisher = "Johns Hopkins University Press",
+ address = "Baltimore",
+ year = 1983,
+ isbn = "0-8018-3772-3 (hardcover), 0-8018-3739-1 (paperback)",
+ }
+
+@book
+ {
+ Gottlieb-Orszag:pseudospectral,
+ author = "David Gottlieb and Steven A. Orszag",
+ title = "Numerical Analysis of Spectral Methods",
+ series = "CMBS-NSF Regional Conference Series in Applied Mathematics",
+ volume = 26,
+ publisher = "Society for Industrial and Applied Mathematics",
+ address = "Philadelphia",
+ year = "1977, 1981, 1983, 1986, 1989",
+ isbn = "0-89871-023-5 (paperback)",
+ snote = "CMBS = Conference Board of the Mathematical Sciences",
+ }
+
+@book
+ {
+ Gradshteyn-Ryzhik:integral-tables,
+ author = "Izrail S. Gradshtein and Iosif Ryzhik",
+ title = "Table of Integrals, Series, and Products",
+ edition = "Corrected and Enlarged Edition, 2nd printing",
+ publisher = "Academic Press",
+ address = "New York",
+ year = "1965, 1980",
+ isbn = "0-12-294760-6",
+ }
+
+@article
+ {
+ Gropp-1980-adaptive-gridding,
+ author = "William D. Gropp",
+ title = "A Test of Moving Mesh Refinement for
+ 2-{D} Scalar Hyperbolic Problems",
+ journal = "SIAM Journal of Scientific and Statistical Computing",
+ volume = 1, number = 2,
+ pages = "191--197",
+ year = 1980, month = "June",
+ }
+
+@article
+ {
+ Gundlach-1996-understanding-critical-collapse,
+ author = "Carsten Gundlach",
+ title = "Understanding Critical Collapse of a Scalar Field",
+ journal = "Physical Review~D",
+ volume = 55, X-number = "FIXME",
+ pages = "695--713",
+ year = 1997, X-month = "FIXME",
+ snote = "theoretical prediction of fine structure in mass scaling law",
+ }
+
+@article
+ {
+ Gundlach-1998-critical-phenomena-review,
+ author = "Carsten Gundlach",
+ title = "Critical phenomena in gravitational collapse",
+ journal = "Advances in Theoretical and Mathematical Physics",
+ volume = 2, X-number = "FIXME",
+ pages = "1--49",
+ year = 1998, X-month = "FIXME",
+ }
+
+@article
+ {
+ Gundlach-Price-Pullin-1994-late-time-fields-I,
+ author = "Carsten Gundlach and Richard H. Price and Jorge Pullin",
+ title = "Late-Time Behavior of Stellar Collapse and Explosions.
+ I. Linearized Perturbations",
+ journal = "Physical Review~D",
+ volume = 49, number = 2,
+ pages = "883--889",
+ year = 1994, month = "15 January",
+ snote = "perturbation analysis (analytical and numerical)
+ for power-law tails of massless fields around a
+ (fixed background) BH",
+ }
+
+@article
+ {
+ Gundlach-Price-Pullin-1994-late-time-fields-II,
+ author = "Carsten Gundlach and Richard H. Price and Jorge Pullin",
+ title = "Late-Time Behavior of Stellar Collapse and Explosions.
+ II. Nonlinear Evolution",
+ journal = "Physical Review~D",
+ volume = 49, number = 2,
+ pages = "890--899",
+ year = 1994, month = "15 January",
+ snote = "comparison of perturbation analysis
+ to full numerical integration",
+ }
+
+@article
+ {
+ Gupta-SacksDavis-Tischer-1985-ODE-review,
+ author = "Gopal K. Gupta and Ron Sacks-Davis and Peter E. Tischer",
+ title = "A Review of Recent Developments in Solving {ODE}s",
+ journal = "ACM Computing Surveys",
+ volume = 17, number = 1,
+ pages = "5--47",
+ year = 1985, month = "March",
+ }
+
+@techreport
+ {
+ Gustafsson-1971-hyperbolic-BC-FD-convergence,
+ author = "B. Gustafsson",
+ title = "On the Convergence Rate for Difference Approximations
+ to Mixed Initial Boundary Value Problems",
+ institution = "Department of Computer Science,
+ Uppsala University",
+ X-institution = "Uppsala University",
+ department = "Department of Computer Science",
+ year = 1971, month = "May",
+ number = "33",
+ }
+
+@article
+ {
+ Gustafsson-1975-hyperbolic-BC-FD-convergence,
+ author = "B. Gustafsson",
+ title = "The Convergence Rate for Difference Approximations
+ to Mixed Initial Boundary Value Problems",
+ journal = "Mathematics of Computation",
+ volume = 29, number = 130,
+ pages = "396--406",
+ year = 1975, X-month = "FIXME",
+ }
+
+@article
+ {
+ Gustafsson-1982-hyperbolic-BC-FD-convergence,
+ author = "B. Gustafsson",
+ title = "The Choice of Numerical Boundary Conditions for
+ Hyperbolic Systems",
+ journal = "Journal of Computational Physics",
+ volume = 48, X-number = "FIXME",
+ pages = "270--283",
+ year = 1982, X-month = "FIXME",
+ }
+
+@article
+ {
+ Guven-OMurchadha-1995-constraints-in-spherical-symmetry-I,
+ author = "Jemal Guven and Niall \OMurchadha",
+ title = "The Constraints in Spherically Symmetric
+ Classical General Relativity:
+ {I}. Optical Scalars, Foliations,
+ Bounds on the Configuration Space Variables,
+ and the Positivity of the Quasilocal Mass",
+ journal = "Physical Review~D",
+ volume = 52, number = 2,
+ pages = "758--775",
+ year = 1995, month = "15 July",
+ eprint = "gr-qc/9411009",
+ snote = "includes ++good discussion of quasilocal mass
+ in section 4, see especially (4.9) and following text",
+ }
+
+%
+% === H ===
+%
+
+@article
+ {
+ Hamade-Stewart-1996-sssf-2+2,
+ author = "Rufus S. \Hamade{} and John M. Stewart",
+ title = "The Spherically Symmetric Collapse
+ of a Massless Scalar Field",
+ journal = "Classical and Quantum Gravity",
+ volume = 13, X-number = "FIXME",
+ pages = "497--512",
+ year = 1996, X-month = "FIXME",
+ eprint = "gr-qc/9506044",
+ snote = "2+2 (double-null coords) numerical evolution of sssf,
+ uses full Berger-Oliger adapative gridding,
+ finds self-similar behavior, also very nice illustrations
+ of deviations between sub/supercritical evolutions",
+ }
+
+@book
+ {
+ Hart-etal,
+ X-author = "John F. Hart and E. W. Cheney and Charles L. Lawson
+ and Hans J. Maehly and Charles K. Mesztenyi
+ and John R. Rice and Henry G. Thacher, Jr.
+ and Christoph Witzgall",
+ author = "John F. Hart and E. W. Cheney and Charles L. Lawson
+ and Hans J. Maehly and Charles K. Mesztenyi
+ and John R. Rice and Thacher, Jr., Henry G.
+ and Christoph Witzgall",
+ title = "Computer Approximations",
+ publisher = "Krieger Publishing Company",
+ X-publisher-1st-edition = "Wiley (1968)",
+ address = "Malabar, Florida, USA",
+ year = 1978,
+ isbn = "0-88275-642-7",
+ snote = "++good; includes description of Remez exchange algorithm
+ for finding least-minimax-error polynomial and rational
+ approximations to a trancendental function; includes
+ around 200 pp of coefficient tables",
+ }
+
+@incollection
+ {
+ Hawking-1973-in-Les-Houches,
+ author = "Stephen W. Hawking",
+ title = "The Event Horizon",
+ pages = "1--56",
+ editor = "\Cecile{} DeWitt and Bryce S. DeWitt",
+ booktitle = "Black Holes",
+ note = "Proceedings of the 23rd Les Houches Summer School,
+ Les Houches (France), August 1972",
+ publisher = "Gordon and Breach",
+ address = "New York",
+ year = 1973,
+ isbn = "0-677-15610-3",
+ }
+
+@book
+ {
+ Hawking-Ellis,
+ author = "Stephen W. Hawking and George F. R. Ellis",
+ title = "The Large Scale Structure of Space-Time",
+ publisher = "Cambridge University Press",
+ address = "Cambridge (UK)",
+ year = 1973,
+ isbn = "0-521-20016-4 (hardcover), 0-521-09906-4 (paperback)",
+ }
+
+@incollection
+ {
+ Hawley-Evans-1989-in-Frontiers,
+ author = "John F. Hawley and Charles F. Evans",
+ title = "Constraint Preserving Transport for Magnetohydrodynamics",
+ pages = "179--193",
+ editor = "Charles R. Evans and Lee S. Finn and David W. Hobill",
+ booktitle = "Frontiers in Numerical Relativity",
+ publisher = "Cambridge University Press",
+ address = "Cambridge (UK)",
+ year = 1989,
+ isbn = "0-521-36666-6",
+ note = "Proceedings of the International Workshop on Numerical
+ Relativity, University of Illinois at Urbana-Champaign
+ (Urbana-Champaign, Illinois, USA), 9--13 May 1988",
+ }
+
+@article
+ {
+ Hayward-1994-mass-functions,
+ author = "Sean A. Hayward",
+ title = "Quasilocal Gravitational Energy",
+ journal = "Physical Review~D",
+ volume = 49, number = 2,
+ pages = "831--839",
+ year = 1994, month = "15 January",
+ snote = "++good review of quasilocal mass functions",
+ }
+
+@article
+ {
+ Hayward-1996-Misner-Sharp-mass-function,
+ author = "Sean A. Hayward",
+ title = "Gravitational Energy in Spherical Symmetry",
+ journal = "Physical Review~D",
+ volume = 53, number = 4,
+ pages = "1938--1949",
+ year = 1996, month = "15 February",
+ snote = "++good review of (Misner-Sharp) mass function
+ in spherical symmetry",
+ }
+
+@incollection
+ {
+ Hellings-in-GR10,
+ author = "Ronald W Hellings",
+ title = "Testing Relativity with Solar System Dynamics",
+ pages = "365--385",
+ editor = "B Bertotti and F. de Felice and A. Pascolini",
+ booktitle = "General Relativity and Gravitation",
+ booksubtitle = "Invited Papers and Discussion Reports of the
+ 10th International Conference on General Relativity
+ and Gravitation, Padua (Italy), 3-8 July 1983",
+ publisher = "Reidel",
+ address = "Dordrecht (Holland)",
+ year = 1984,
+ isbn = "90-277-1819-9",
+ snote = "++good review of experimental tests of GR
+ using spacecraft tracking, planetary radar, etc",
+ }
+
+
+@incollection
+ {
+ Hellings-in-GR12,
+ author = "Ronald W Hellings",
+ title = "Solar System and Pulsar Tests of General Relativity",
+ pages = "341--344",
+ editor = "Neil Ashby and David F. Bartlett and Walter Wyss",
+ booktitle = "General Relativity and Gravitation, 1989",
+ booksubtitle = "Proceedings of the
+ 12th International Conference on General Relativity
+ and Gravitation, Boulder (USA), 2-8 July 1989",
+ publisher = "Cambridge University Press",
+ address = "Cambridge (UK)",
+ year = 1990,
+ isbn = "0-521-38428-1",
+ }
+
+@incollection
+ {
+ Hindmarsh-1983-ODEPACK-codes,
+ author = "Alan C. Hindmarsh",
+ title = "{ODEPACK}, {A} Systematized Collection of {ODE} Solvers",
+ pages = "55--64",
+ editor = "R. S. Stepleman and M. Carver and R. Peskin
+ and W. F. Ames and R. Vichnevetsky",
+ booktitle = "Scientific Computing",
+ note = "Volume 1 of IMACS Transactions on Scientific Computation,
+ report also available as
+ Lawrence Livermore National Laboratories
+ Report UCRL-88007, August 1982",
+ publisher = "North-Holland",
+ address = "Amsterdam",
+ year = 1993,
+ isbn = "0-444-86607-8",
+ }
+
+@article
+ {
+ Hirsh-1975-4th-order-compact-FD,
+ author = "Richard S. Hirsh",
+ title = "Higher Order Accurate Difference Solutions of
+ Fluid Mechanics Problems by a Compact Differencing Technique",
+ journal = "Journal of Computational Physics",
+ volume = 19, X-number = "FIXME",
+ pages = "90--109",
+ year = 1975, X-month = "FIXME",
+ snote = "$O(dx^4 + dt^(??))$, (I'm not clear on time order),
+ several different parabolic problems",
+ }
+
+@book
+ {
+ Hockney-Eastwood,
+ author = "Roger W. Hockney and James W. Eastwood",
+ title = "Computer Simulation Using Particles",
+ edition = "1st",
+ publisher = "McGraw-Hill",
+ address = "New York",
+ year = 1981,
+ isbn = "0-07-029108-X",
+ snote = "2nd edition now available"
+ }
+
+@article
+ {
+ Hod-Piran-1997-fine-structure-of-mass-scaling-law,
+ author = "Shahar Hod and Tsvi Piran",
+ title = "Fine-Structure of {C}hoptuik's Mass-Scaling Relation",
+ journal = "Physical Review~D",
+ volume = 55, X-number = "FIXME",
+ pages = "440--442",
+ year = 1997, X-month = "FIXME",
+ }
+
+@article
+ {
+ Huebner-1999-conformal-field-eqns-evol-scheme,
+ author = "Peter \Huebner",
+ title = "A Scheme to Numerically Evolve Data
+ for the Conformal {E}instein Equations",
+ journal = "Classical and Quantum Gravity",
+ year = 1999, volume = 16,
+ pages = "2823--2843",
+ eprint = "gr-qc/9903088",
+ snote = "paper 2 in a series; describes numerical scheme",
+ }
+
+@phdthesis
+ {
+ Huq-PhD,
+ author = "Mijan F. Huq",
+ title = "Apparent Horizon Location in Numerical Spacetimes",
+ supervisor = "Richard A. Matzner",
+ school = "University of Texas at Austin",
+ department = "Physics",
+ year = 1996, month = "December",
+ }
+
+@techreport
+ {
+ Huq-Choptuik-Matzner-2000-3D-xyz-horizon-finding,
+ author = "Mijan F. Huq and Matthew W. Choptuik and Richard A. Matzner",
+ title = "Locating Boosted {K}err and {S}chwarzschild Apparent Horizons",
+ year = "2000", month = "22 February",
+ eprint = "gr-qc/0002076",
+ }
+
+% need { } for author due to embedded " in u-umlaut
+@article
+ {
+ Husa-etal-2000-sigma-model-DSS-criticality,
+ author = {Sascha Husa and Christiane Lechner and Michael P\"{u}rrer
+ and Jonathan Thornburg and Peter C.~Aichelburg},
+ title = "Type II Critical Collapse of a Self-Gravitating
+ Nonlinear $\sigma$-Model",
+ year = 2000,
+ journal = "to appear in Physical Review~D",
+ eprint = "gr-qc/0002067",
+ snote = "report number UWThPh-2000-12",
+ }
+
+@techreport
+ {
+ Hyman-1976-Courant-MOL-report,
+ author = "James M. Hyman",
+ title = "The Method of Lines Solution
+ of Partial Differential Equations",
+ institution = "ERDA Mathematics and Computing Laboratory,
+ Courant Institute of Mathematical Sciences,
+ New York University",
+ X-institution = "New York University",
+ department = "ERDA Mathematics and Computing Laboratory,
+ Courant Institute of Mathematical Sciences",
+ year = 1976, month = "October",
+ number = "COO-3077-139",
+ snote = "++good; this is the best overall MOL reference I know"
+ }
+
+@techreport
+ {
+ Hyman-1979-MOL,
+ author = "James M. Hyman",
+ title = "A Method of Lines Approach to the
+ Numerical Solution of Conservation Laws",
+ institution = "Los Alamos National Laboratory",
+ year = 1979,
+ number = "LA-UR 79-837",
+ note = "submitted to Third IMACS International Symposium on
+ Computer Methods for Partial Differential Equations,
+ 20-22 June 1979, Lehigh University, Bethlehem PA 18015, USA",
+ snote = "FIXME: get proceedings author and this article page numbers",
+ }
+
+@incollection
+ {
+ Hyman-1989-MOL-in-Buchler,
+ author = "James M. Hyman",
+ title = "Numerical Methodologies for Solving
+ Partial Differential Equations",
+ pages = "215--237",
+ editor = "J. R. Buchler",
+ booktitle = "NATO Advanced Research Workshop on the
+ Numerical Modeling of Nonlinear Stellar Pulsations:
+ Problems and Prospects",
+ publisher = "Kluwer",
+ address = "Dordrecht",
+ year = 1989,
+ isbn = "0-7923-0598-1",
+ note = "Also available as
+ Los Alamos National Laboratories
+ Report LA-UR 89-3136",
+ }
+
+%
+% === I ===
+%
+
+@phdthesis
+ {
+ Isenberg-PhD,
+ author = "James A. Isenberg",
+ title = "The Construction of Spacetimes from Initial Data",
+ supervisor = "Charles W. Misner",
+ school = "University of Maryland",
+ department = "Physics and Astronomy",
+ year = 1979, month = "April",
+ snote = "University Microfilms Order \#DA 79-26499",
+ }
+
+@article
+ {
+ Israel-1986-PRL-AH-confinement,
+ author = "Werner Israel",
+ title = "Must Nonspherical Collapse Produce Black Holes?
+ A Gravitational Confinement Theorem",
+ journal = "Physical Review Letters",
+ volume = 56, number = 8,
+ pages = "789--791",
+ year = 1986, month = "15 October",
+ snote = "see \cite{Israel-1986-CJP-AH-confinement} for further
+ publication",
+ }
+
+@article
+ {
+ Israel-1986-CJP-AH-confinement,
+ author = "Werner Israel",
+ title = "The Formation of Black Holes in Nonspherical Collapse
+ and Cosmic Censorship",
+ journal = "Canadian Journal of Physics",
+ volume = 64,
+ pages = "120--127",
+ year = 1986,
+ snote = "see \cite{Israel-1986-PRL-AH-confinement} for initial
+ publication",
+ }
+
+@article
+ {
+ Israeli-Orszag-1981-radiation-BCs,
+ author = "Moshe Israeli and Steven A. Orszag",
+ title = "Approximation of Radiation Boundary Conditions",
+ journal = "Journal of Computational Physics",
+ volume = 41, X-number = "FIXME",
+ pages = "115--135",
+ year = 1981, X-month = "FIXME",
+ snote = "introduced the concept of ``sponge filter'';
+ see \cite[section~3.8]{Choptuik-PhD}
+ for numerical tests \& discussion",
+ }
+
+%
+% === J ===
+%
+
+%
+% === K ===
+%
+
+@unpublished
+ {
+ Kahan-1996-probabilistic-error-analysis-x,
+ author = "William Kahan",
+ title = "The Improbability of Probabilistic Error Analyses
+ for Numerical Computations",
+ year = 1996, month = "4 March",
+ X-note = "Available from
+ http://www.cs.berkeley.edu/~wkahan/improber.ps
+ or http://www.cs.berkeley.edu/~wkahan/improber.pdf",
+ note = "Available from
+ \hbox{\tt http://www.cs.berkeley.edu/$\sim$wkahan/improber.ps}
+ or
+ \hbox{\tt http://www.cs.berkeley.edu/$\sim$wkahan/improber.pdf}",
+ snote = "floating-point roundoff errors are often highly
+ discrete and correlated, so naive statistical
+ analyses based on based on modelling them as
+ uncorrelated continuous random variables
+ (a.k.a. ``Probabilistic Error Analysis'') can
+ be highly misleading",
+ }
+
+@unpublished
+ {
+ Kahan-1999-correlation-vs-low-probability-events,
+ author = "William Kahan",
+ title = "The Fragility of Improbability",
+ year = 1999, month = "9 June",
+ X-note = "Available from
+ http://www.cs.berkeley.edu/~wkahan/Math55/correln.ps
+ or http://www.cs.berkeley.edu/~wkahan/Math55/correln.pdf",
+ note = "Available from
+ \hbox{\tt http://www.cs.berkeley.edu/$\sim$wkahan/Math55/correln.ps}
+ or
+ \hbox{\tt http://www.cs.berkeley.edu/$\sim$wkahan/Math55/correln.pdf}",
+ snote = "tiny correlations in random variables can make
+ a huge difference to the probability of rare events
+ way out on the tails of probability distributions",
+ }
+
+@book
+ {
+ Kahaner-Moler-Nash,
+ author = "David Kahaner and Cleve B. Moler and Steven Nash",
+ title = "Numerical Methods and Software",
+ publisher = "Prentice-Hall",
+ address = "Englewood Cliffs",
+ year = 1989,
+ isbn = "0-13-627258-4",
+ snote = "This is a greatly revised and expanded successor to
+ \cite{Forsythe-Malcolm-Moler}. IMHO both books are
+ still valuable, though.",
+ }
+
+@article
+ {
+ Kemball-Bishop-1991-horizon-finding,
+ author = "Athol Kemball and Nigel T. Bishop",
+ title = "The Numerical Determination of Apparent Horizons",
+ journal = "Classical and Quantum Gravity",
+ volume = 8, year = 1991, pages = "1361--1367",
+ snote = "discussion on implementing horizon-finding method of
+ \cite{Nakamura-Kojima-Oohara-1984-horizon-finding}",
+ }
+
+@book
+ {
+ Kernighan-Ritchie,
+ author = "Brian W. Kernighan and Dennis M. Ritchie",
+ title = "The C Programming Language",
+ edition = "2nd",
+ publisher = "Prentice-Hall",
+ address = "Englewood Cliffs",
+ year = "1978, 1988",
+ isbn = "0-13-110362-8 (paperback), 0-13-110370-9 (hardcover)",
+ }
+
+@book
+ {
+ Kenyon,
+ author = "Ian R. Kenyon",
+ title = "General Relativity",
+ publisher = "Oxford University Press",
+ address = "Oxford (UK)",
+ year = "1990, 1991",
+ isbn = "0-19-851995-8 (hardcover), 0-19-851996-6 (paperback)",
+ }
+
+@article
+ {
+ Kidder-etal-2000-pseudospectral-BHE-evolution,
+ author = "Lawrence E. Kidder and Mark A. Scheel and Saul A. Teukolsky
+ and Eric D. Carlson and Gregory B. Cook",
+ title = "Black Hole Evolution by Spectral Methods",
+ journal = "Physical Review D",
+ year = 2000, month = "26 September",
+ volume = 62, pages = "084032 (20 pages)",
+ eprint = "gr-qc/0005056",
+ }
+
+@book
+ {
+ Knuth-v1,
+ author = "Donald E. Knuth",
+ title = "Fundamental Algorithms",
+ edition = "3rd",
+ publisher = "Addison-Wesley",
+ address = "Reading, Massachusetts",
+ year = "1997",
+ isbn = "0-201-89683-4",
+ }
+
+@book
+ {
+ Knuth-v2,
+ author = "Donald E. Knuth",
+ title = "Seminumerical Algorithms",
+ edition = "3rd",
+ publisher = "Addison-Wesley",
+ address = "Reading, Massachusetts",
+ year = "1997",
+ isbn = "0-201-89684-2",
+ }
+
+@book
+ {
+ Knuth-v3,
+ author = "Donald E. Knuth",
+ title = "Sorting and Searching",
+ edition = "2nd",
+ publisher = "Addison-Wesley",
+ address = "Reading, Massachusetts",
+ year = "1998",
+ isbn = "0-201-89685-0",
+ }
+
+@article
+ {
+ Kreiss-Oliger-1972-4th-order-FD,
+ author = "Heinz-Otto Kreiss and Joseph Oliger",
+ title = "Comparison of Accurate Methods for the
+ Integration of Hyperbolic Equations",
+ journal = "Tellus",
+ volume = "XXIV", number = 3,
+ pages = "199--215",
+ year = 1972,
+ snote = "model problem, $O(dx^4 + dt^4)$,
+ doesn't treat dxx on RHS, i.e. du/dt = f(u, dx(u), dxx(u))",
+ }
+
+@book
+ {
+ Kreiss-Oliger-1973-GARP-report,
+ author = "Heinz-Otto Kreiss and Joseph Oliger",
+ title = "Methods for the Approximate Solution
+ of Time Dependent Problems",
+ publisher = "World Meteorological Organization",
+ address = "Case Postale No.~1, CH-1211 Geneva 20, Switzerland",
+ year = 1973,
+ isbn = "no ISBN",
+ }
+
+@book
+ {
+ Kreiss-1978-Montreal-book,
+ author = "Heinz-Otto Kreiss",
+ title = "Numerical Methods for Solving Time-Dependent Problems
+ for Partial Differential Equations",
+ publisher = "Les Presses De L'Universit\'{e} de Montr\'{e}al
+ (University of Montreal Press)",
+ address = "Montreal (Canada)",
+ year = 1978,
+ isbn = "ISBN 0-8405-0430-6",
+ }
+
+@article
+ {
+ Krivan-Laguna-Papadopoulos-1996-rotating-BH+scalar-field-perturbation,
+ author = "William Krivan and Pablo Laguna and Philippos Papadopoulos",
+ title = "Dynamics of Scalar Fields
+ in the Background of Rotating Black Holes",
+ journal = "Physical Review~D",
+ volume = 54, number = 8,
+ pages = "4728--4734",
+ year = 1996, month = "15 October",
+ }
+
+@article
+ {
+ Kulkarni-1984-N-BH-initial-data,
+ author = "Arnil D. Kulkarni",
+ title = "Time-Asymmetric Initial Data for the $N$ Black Hole Problem
+ in General Relativity",
+ journal = "Journal of Mathematical Physics",
+ volume = 25, number = 4,
+ pages = "1028--1034",
+ year = 1984, X-month = "FIXME",
+ }
+
+@article
+ {
+ Kulkarni-1984-2BH-initial-data,
+ author = "Arnil D. Kulkarni",
+ title = "Extrinsic Curvature for the Two-Black-Hole Problem",
+ journal = "General Relativity and Gravitation",
+ volume = 17, number = 4,
+ pages = "301--310",
+ year = 1984, X-month = "FIXME",
+ }
+
+@article
+ {
+ Kulkarni-Shepley-York-1983-N-BH-initial-data,
+ X-author = "Arnil D. Kulkarni and Lawrence C. Shepley
+ and James W. York, Jr.",
+ author = "Arnil D. Kulkarni and Lawrence C. Shepley
+ and York, Jr., James W.",
+ title = "Initial Data for $N$ Black Holes",
+ journal = "Physics Letters",
+ volume = "96A", number = 5,
+ pages = "228--230",
+ year = 1983
+ }
+
+%
+% === L ===
+%
+
+@book
+ {
+ LAPACK-book,
+ author = "E. Anderson and Z. Bai and C. Bischof and J. Demmel
+ and Jack J. Dongarra and J. Du Croz and A. Greenbaum
+ and S. Hammarling and A. McKenney and S. Ostrouchov
+ and D. Sorensen",
+ title = "LAPACK Users' Guide",
+ edition = "1st",
+ publisher = "Society for Industrial and Applied Mathematics",
+ address = "Philadelphia",
+ year = 1979,
+ isbn = "0-89871-294-7 (paperback)",
+ snote = "*** this book is now obselete -- there is a 2nd edition ***"
+ }
+
+@techreport
+ {
+ Price-2001-Lazarus-in-Matters-of-Gravity-17,
+ author = "Richard Price",
+ title = "The {L}azarus Project:
+ {N}umerical relativity meets perturbation theory",
+ volume = 17,
+ year = 2001, month = "Spring",
+ editor = "Jorge Pullin",
+ eprint = "gr-qc/0102044",
+ snote = "available at http://gravity.phys.psu.edu/mog/mog17/mog17.html",
+ }
+
+@unpublished
+ {
+ Lechner-Husa-Aichelburg-1999-static-solutions,
+ author = "Christiane Lechner and Sascha Husa and Peter C. Aichelburg",
+ title = "{SU}(2) Cosmological Solitons",
+ year = 1999,
+ note = "Paper in preparation; draft included",
+ snote = "static solution paper, to be submitted November 1999 +/-",
+ }
+
+@unpublished
+ {
+ Lechner-Husa-Aichelburg-1999-stability-analysis,
+ author = "Christiane Lechner and Sascha Husa and Peter C. Aichelburg",
+ year = 1999,
+ note = "Paper in preparation",
+ snote = "stability analysis of static solutions",
+ }
+
+@article
+ {
+ LMSSW-1996-numerical-event-horizons,
+ author = "Joseph Libson and Joan \Masso{} and Edward Seidel
+ and Wai-Mo Suen and Paul Walker",
+ title = "Event Horizons in Numerical Relativity: Methods and Tests",
+ journal = "Physical Review~D",
+ volume = 53, number = 8,
+ pages = "4335--4350",
+ year = 1996, month = "15 April",
+ eprint = "gr-qc/9412068",
+ snote = "see \cite{ABBLMSSSW-1995-numerical-event-horizons}
+ for initial publication",
+ }
+
+@article
+ {
+ Lichnerowicz-1944-initial-data,
+ author = "Par \Andre{} Lichnerowicz",
+ title = "L'\Integration{} des \Equations{} de la Gravitation
+ Relativiste et le \Probleme des $n$ Corps",
+ journal = "Journal de \Mathematique",
+ volume = "XXIII", number = 1,
+ pages = "37--63",
+ year = 1944, X-month = "FIXME",
+ snote = "early work on initial data problem",
+ }
+
+@book
+ {
+ LINPACK-book,
+ author = "Jack J. Dongarra and Cleve B. Moler and J. R. Bunch
+ and George W. Stewart",
+ title = "LINPACK Users' Guide",
+ publisher = "Society for Industrial and Applied Mathematics",
+ address = "Philadelphia",
+ year = 1979,
+ isbn = "0-89871-172-X (paperback)",
+ }
+
+@article
+ {
+ Liskovets-1965-MOL-review,
+ author = "O. A. Liskovets",
+ title = "The Method of Lines (Review)",
+ journal = "Differential Equations",
+ volume = 1,
+ pages = "1308--1323",
+ X-journal-original = "Differentsial'nye Uravneniya (Russian)",
+ X-volume-original = 1, X-number-original = 12,
+ X-pages-original = "1662--1678",
+ year = 1965,
+ snote = "reviews much of the early Soviet work",
+ }
+
+%
+% === M ===
+%
+
+@techreport
+ {
+ Madsen-Sincovec-1973-LLNL-MOL-report,
+ author = "N. K. Madsen and R. F. Sincovec",
+ title = "The Numerical Method of Lines for the Solution of
+ Nonlinear Partial Differential Equations",
+ institution = "Lawrence Livermore National Laboratories",
+ year = 1973, month = "September",
+ number = "UCRL-75142",
+ snote = "a longer and IMHO somewhat more readable
+ version of this report has appeared as
+ \cite{Madsen-Sincovec-1974-MOL-in-Oden-etal}",
+ }
+
+@incollection
+ {
+ Madsen-Sincovec-1974-MOL-in-Oden-etal,
+ author = "N. K. Madsen and R. F. Sincovec",
+ title = "The Numerical Solution of Nonlinear
+ Partial Differential Equations",
+ pages = "371--380",
+ editor = "J. T. Oden \etal",
+ booktitle = "Computational Methods in Nonlinear Mechanics",
+ publisher = "Texas Institute for Computational Mechanics",
+ address = "Austin, Texas, USA",
+ year = 1974,
+ X-isbn = "no ISBN",
+ snote = "a shorter and IMHO somewhat less readable
+ version of this report has appeared as
+ \cite{Madsen-Sincovec-1973-LLNL-MOL-report}",
+ }
+
+@phdthesis
+ {
+ Marsa-PhD,
+ author = "Robert L. Marsa",
+ title = "Radiative Problems in Black Hole Spacetimes",
+ supervisor = "Richard A. Matzner",
+ school = "University of Texas at Austin",
+ department = "Physics",
+ year = 1995, month = "December",
+ }
+
+@article
+ {
+ Marsa-Choptuik-1996-sssf,
+ author = "Robert L. Marsa and Matthew W. Choptuik",
+ title = "Black Hole--Scalar Field Interactions in Spherical Symmetry",
+ journal = "Physical Review~D",
+ volume = 54, number = 8,
+ pages = "4929--4943",
+ year = 1996, month = "15 October",
+ eprint = "gr-qc/9607034",
+ }
+
+@phdthesis
+ {
+ Masso-PhD,
+ author = "Joan \Masso{}",
+ title = "Numerical Relativity: The Quest for a Three-Dimensional Code",
+ supervisor = "Charles Garcia Bona",
+ school = "Universitat de les Illes Balears",
+ department = "Physics",
+ year = 1992, month = "September",
+ }
+
+@incollection
+ {
+ Masso-Seidel-Walker-1995-adaptive-gridding,
+ author = "Joan \Masso{} and Edward Seidel and Paul Walker",
+ title = "Adaptive Mesh Refinement in Numerical Relativity",
+ X-pages = "FIXME",
+ editor = "R. Ruffini and M. Keiser",
+ booktitle = "General Relativity:
+ Proceedings of the 7th {M}arcel {G}rossman Meeting",
+ publisher = "World Scientific",
+ address = "Singapore",
+ year = 1995,
+ X-isbn = "FIXME",
+ eprint = "gr-qc/9412057",
+ }
+
+@unpublished
+ {
+ Matzner-Huq-Shoemaker-1998-N-BH-initial-data,
+ author = "Richard A. Matzner and Mijan F. Huq and Deirdre Shoemaker",
+ title = "Initial Data and Coordinates for Multiple Black Hole Systems",
+ year = 1998, month = "May",
+ eprint = "gr-qc/9805023",
+ }
+
+@book
+ {
+ Matzner-Shepley:Schild-lectures,
+ editor = "Richard A. Matzner and Lawrence C. Shepley",
+ booktitle = "Spacetime and Geometry: The {A}lfred {S}child Lectures",
+ publisher = "University of Texas Press",
+ address = "Austin (Texas)",
+ year = 1982,
+ isbn = "0-292-77567-9",
+ }
+
+@book
+ {
+ Mermin:SR,
+ author = "N. David Mermin",
+ title = "Space and Time in Special Relativity",
+ publisher = "Waveland Press",
+ X-publisher-original-edition = "McGraw-Hill (1968)",
+ address = "Prospect Heights, Illinois, USA",
+ year = "1968, 1989",
+ isbn = "0-88133-420-0 (paper)",
+ }
+
+@article
+ {
+ Misner-1960-initial-data,
+ author = "Charles W. Misner",
+ title = "Wormhole Initial Conditions",
+ journal = "Physical Review",
+ volume = 118, number = 4,
+ pages = "1110--1111",
+ year = 1960, month = "15 May",
+ }
+
+@article
+ {
+ Misner-Sharp-1964-Lagrangian-spherical-collapse,
+ author = "Charles W. Misner and David H. Sharp",
+ title = "Relativistic Equations for Adiabatic,
+ Spherically Symmetric Gravitational Collapse",
+ journal = "Physical Review B",
+ volume = 136, number = 2,
+ pages = "571--576",
+ year = 1964, month = "26 October",
+ snote = "Lagrangian coordinates,
+ 1st derivation of mass function for spherical symmetry",
+ }
+
+@book
+ {
+ MTW,
+ author = "Charles W. Misner and Kip S. Thorne and John A. Wheeler",
+ title = "Gravitation",
+ publisher = "W. H. Freeman",
+ address = "San Francisco",
+ year = 1973,
+ isbn = "0-7167-0344-0 (paper)",
+ }
+
+@book
+ {
+ Mitchell-Griffiths,
+ author = "A. R. Mitchell and D. F. Griffiths",
+ title = "The Finite Difference Method in
+ Partial Differential Equations",
+ publisher = "Wiley",
+ address = "New York",
+ year = 1980,
+ X-isbn = "FIXME",
+ X-note = "nice elementary intro (also includes finite elements)",
+ }
+
+%
+% === N ===
+%
+
+@article
+ {
+ Nakamura-Kojima-Oohara-1984-horizon-finding,
+ author = "Takashi Nakamura and Yasufumi Kojima and {Ken-ichi} Oohara",
+ title = "A Method of Determining Apparent Horizons
+ in Three-Dimensional Numerical Relativity",
+ journal = "Physics Letters",
+ volume = "106A", number = "5,6",
+ year = "1984", month = "10 December",
+ pages = "235--238",
+ }
+
+@incollection
+ {
+ Nakamura-Oohara-1989-3D-evolution-in-Frontiers,
+ author = "Takashi Nakamura and {Ken-ichi} Oohara",
+ title = "Methods in {3D} Numerical Relativity",
+ pages = "254--280",
+ editor = "Charles R. Evans and Lee S. Finn and David W. Hobill",
+ booktitle = "Frontiers in Numerical Relativity",
+ publisher = "Cambridge University Press",
+ address = "Cambridge (UK)",
+ year = 1989,
+ isbn = "0-521-36666-6",
+ note = "Proceedings of the International Workshop on Numerical
+ Relativity, University of Illinois at Urbana-Champaign
+ (Urbana-Champaign, Illinois, USA), 9--13 May 1988",
+ }
+
+@article
+ {
+ NCCMHO-2000-3D-adaptive-evolution-grav-waves,
+ author = "Kimberly C. B. New and Dae-Il Choi and Joan M. Centrella
+ and Peter MacNeice and Mijan F. Huq and Kevin Olson",
+ title = "Three-Dimensional Adaptive Evolution of Gravitational Waves
+ in Numerical Relativity",
+ journal = "Physical Review~D",
+ volume = 62, year = 2000,
+ pages = "084039 (4 pages)",
+ eprint = "gr-qc/0007045",
+ snote = "2-level Berger/Oliger adaptive gridding,
+ weak gravitational waves;
+ n.b. PRD online can't find this via volume/pages,
+ but can find it via `Adaptive' title search",
+ }
+
+@article
+ {
+ Nieto-Goldman-1991-gravity-vs-antimatter,
+ author = "Michael Martin Nieto and T. Goldman",
+ title = "The Arguments Againts ``Antigravity''
+ and the Gravitational Acceleration of Antimatter",
+ journal = "Physics Reports (Review Section of Physics Letters)",
+ volume = 205, number = 5,
+ pages = "222--281",
+ year = 1991, X-month = "FIXME",
+ snote = "very good review article",
+ }
+
+@article
+ {
+ Nollert-Schmidt-1992-Schw-quasinormal-modes,
+ author = "Hans-Peter Nollert and Bernd G. Schmidt",
+ title = "Quasinormal Modes of {S}Chwarzschild Black Holes:
+ Defined and Calculated via {L}aplace Transformation",
+ journal = "Physical Review~D",
+ volume = 45, number = 8,
+ pages = "2617--2627",
+ year = 1994, month = "15 April",
+ snote = "power-law tails; quasinormal ringing,
+ transition from quasinormal ringing to power-law tails",
+ }
+
+@article
+ {
+ Nordtvedt-1999-lunar-laser-ranging-vs-GR,
+ author = "Kenneth Nordtvedt",
+ title = "30 years of Lunar Laser Ranging
+ and the Gravitational Interaction",
+ journal = "Classical and Quantum Gravity",
+ volume = 16, X-number = "???",
+ pages = "A101--A112",
+ year = 1999, month = "December",
+ note = "available online at
+ abstract
+ http://www.iop.org/EJ/S/3/31/D3W0eKTDEk.rPjcuFN2vhg/abstract/0264-9381/16/12A/305
+ full paper
+ http://www.iop.org/EJ/S/3/31/D3W0eKTDEk.rPjcuFN2vhg/article/0264-9381/16/12A/305/q91b05.ps.gz
+ ",
+ }
+
+@book
+ {
+ Novikov-Frolov,
+ author = "Igor D. Novikov and Valery P. Frolov",
+ title = "Physics of Black Holes",
+ publisher = "Kluwer",
+ address = "Dordrecht",
+ year = 1989,
+ isbn = "90-277-2685-X",
+ }
+
+@techreport
+ {
+ Nowak-Weimann-1990,
+ author = "U. Nowak and L. Weimann",
+ title = "GIANT -- A Software Package for the Numerical Solution
+ of Very Large Systems of Highly Nonlinear Equations",
+ institution = "Konrad-Zuse-Zentrum \fur{} Informationstechnik Berlin",
+ year = 1990, month = "December",
+ number = "TR 90-11",
+ snote = "++good software; very robust",
+ }
+
+@techreport
+ {
+ Nowak-Weimann-1991,
+ author = "U. Nowak and L. Weimann",
+ title = "A Family of Newton Codes for Systems
+ of Highly Nonlinear Equations",
+ institution = "Konrad-Zuse-Zentrum \fur{} Informationstechnik Berlin",
+ year = 1991, month = "December",
+ number = "TR 91-10",
+ snote = "++good software; very robust",
+ }
+
+@book
+ {
+ Noye:num-PDEs,
+ author = "John Noye",
+ title = "Numerical Solutions of Partial Differential Equations",
+ publisher = "North-Holland",
+ address = "Amsterdam",
+ year = 1982,
+ isbn = "0-444-86356-7",
+ snote = "Proceedings of the 1981 Conference on the
+ Numerical Solutions of Partial Differential Equations
+ held at Queen's College, Melbourne University, Australia,
+ 23--27 August 1981",
+ }
+
+@book
+ {
+ Numerical-Recipes-1st-edition,
+ author = "William H. Press and Brian P. Flannery
+ and Saul A. Teukolsky and William T. Vetterling",
+ title = "Numerical Recipes: The Art of Scientific Computing",
+ edition = "1st",
+ publisher = "Cambridge University Press",
+ address = "Cambridge (UK) and New York",
+ year = 1986,
+ isbn = "0-521-30811-9",
+ }
+
+@book
+ {
+ Numerical-Recipes,
+ author = "William H. Press and Brian P. Flannery
+ and Saul A. Teukolsky and William T. Vetterling",
+ title = "Numerical Recipes: The Art of Scientific Computing",
+ edition = "2nd",
+ publisher = "Cambridge University Press",
+ address = "Cambridge (UK) and New York",
+ year = 1992,
+ isbn = "0-521-43064-X",
+ }
+
+%
+% === O ===
+%
+
+@article
+ {
+ Oliger-1974-4th-order-FD,
+ author = "Joseph Oliger",
+ title = "Fourth Order Difference Methods for the Initial
+ Boundary-Value Problem for Hyperbolic Equations",
+ journal = "Mathematics of Computation",
+ volume = 28, number = 125,
+ pages = "15--25",
+ year = 1974, month = "January",
+ snote = "model problem, $O(dt^2 + dx^4)$,
+ *does* discuss extensions to large nonlinear multidimensions,
+ doesn't treat dxx on RHS, i.e. du/dt = f(u, dx(u), dxx(u))",
+ }
+
+@phdthesis
+ {
+ Oliveira-PhD,
+ author = "Samuel Rocha Oliveira",
+ title = "The Two Black Hole Problem in $3+1$ General Relativity:
+ Analytical Approximations and Numerical Solutions
+ of the Initial Data",
+ supervisor = "Richard A. Matzner",
+ school = "University of Texas at Austin",
+ department = "Physics",
+ year = 1992, month = "August",
+ }
+
+@incollection
+ {
+ Oohara-1986-3D-initial-data-in-Sato-Nakamura,
+ author = "{Ken-ichi} Oohara",
+ title = "Apparent Horizon of Initial Data for Black Hole Collision",
+ pages = "313--319",
+ editor = "Humitaka Sato and Takashi Nakamura",
+ booktitle = "Gravitational Collapse and Relativity",
+ publisher = "World Scientific",
+ address = "Singapore",
+ year = 1986,
+ isbn = "9971-50-207-0",
+ snote = "apparent horizon finding algorithm of
+ \cite{Nakamura-Kojima-Oohara-1984-horizon-finding};
+ in proceedings of teh XIV Yamada Conference,
+ Kyoto, 7--11 April 1986",
+ }
+
+@incollection
+ {
+ Oohara-Nakamura-1989-3D-initial-data-in-Frontiers,
+ author = "{Ken-ichi} Oohara and Takashi Nakamura",
+ title = "Three Dimensional Initial Data of Numerical Relativity",
+ pages = "74--88",
+ editor = "Charles R. Evans and Lee S. Finn and David W. Hobill",
+ booktitle = "Frontiers in Numerical Relativity",
+ publisher = "Cambridge University Press",
+ address = "Cambridge (UK)",
+ year = 1989,
+ isbn = "0-521-36666-6",
+ note = "Proceedings of the International Workshop on Numerical
+ Relativity, University of Illinois at Urbana-Champaign
+ (Urbana-Champaign, Illinois, USA), 9--13 May 1988",
+ }
+
+@article
+ {
+ OMurchadha-York-1974-York-decomposition-I,
+ X-author = "Niall \OMurchadha{} and James W. York, Jr.",
+ author = "Niall \OMurchadha{} and York, Jr., James W.",
+ title = "Initial-Value Problem of General Relativity:
+ {I} -- General Formulation and Physical Interpretation",
+ journal = "Physical Review~D",
+ volume = 10, number = 2,
+ pages = "428--436",
+ year = 1974, month = "15 July",
+ }
+
+@article
+ {
+ OMurchadha-York-1974-York-decomposition-II,
+ X-author = "Niall \OMurchadha{} and James W. York, Jr.",
+ author = "Niall \OMurchadha{} and York, Jr., James W.",
+ title = "Initial-Value Problem of General Relativity:
+ {II} -- Stability of Solutions
+ of the Initial-Value Equations",
+ journal = "Physical Review~D",
+ volume = 10, number = 2,
+ pages = "437--446",
+ year = 1974, month = "15 July",
+ }
+
+@incollection
+ {
+ OMurchadha-1992-in-dInverno,
+ author = "Niall \OMurchadha{}",
+ title = "Boundary Conditions for the Momentum Constraint",
+ pages = "83--93",
+ editor = "Ray d'Inverno",
+ booktitle = "Approaches to Numerical Relativity",
+ publisher = "Cambridge University Press",
+ address = "Cambridge (UK)",
+ year = 1992,
+ isbn = "0-521-43976-0",
+ note = "Proceedings of the International Workshop on Numerical
+ Relativity, Southampton University (Southampton, England),
+ 16--20 December 1991",
+ }
+
+@misc
+ {
+ OMurchadha-1997-proof-r=2m-for-spherically-symmetric-AH,
+ author = "Niall \OMurchadha{}",
+ type = "private E-mail message to Jonathan Thornburg",
+ year = 1997, month = "13 November",
+ note = "personal communication",
+ snote = "Argument that $r = 2m$ for any apparent horizon
+ in spherical symmetry",
+ }
+
+%
+% === P ===
+%
+
+@article
+ {
+ Papadopoulos-Seidel-Wild-1998-3D-adaptive-evolution-BH-perturbations,
+ author = "Philippos Papadopoulos and Edward Seidel and Lee Wild",
+ title = "Adaptive Computation of Gravitational Waves
+ from Black Hole Interactions",
+ journal = "Physical Review~D",
+ volume = 58, year = 1998,
+ pagese = "084008 (15 pages)",
+ eprint = "gr-qc/9802069",
+ snote = "Berger/Oliger adaptive gridding for evolution of
+ (new formalism for) perturbation equations",
+ }
+
+@book
+ {
+ Parter:num-PDEs,
+ author = "Seymour V. Parter",
+ title = "Numerical Methods for Partial Differential Equations",
+ publisher = "Academic Press",
+ address = "New York",
+ year = 1979,
+ isbn = "0-12-546050-3",
+ snote = "Proceedings of an Advanced Seminar
+ Conducted by the Mathematics Research Center,
+ The University of Wisconsin -- Madison,
+ 23--25 October 1978",
+ }
+
+@Unpublished
+ {
+ PETSc-web-page,
+ author = "Satish Balay and William D. Gropp and Lois Curfman McInnes
+ and Barry F. Smith",
+ title = "{PETSc} home page",
+ year = "2000",
+ note = "{PETSc}: {T}he {P}ortable, {E}xtensible {T}oolkit
+ for {S}cientific {C}omputation,
+ software toolkit available from
+ http://www.mcs.anl.gov/petsc/",
+ }
+
+@TechReport
+ {
+ PETSc-manual,
+ author = "Satish Balay and William D. Gropp and Lois Curfman McInnes
+ and Barry F. Smith",
+ title = "{PETSc} 2.0 Users Manual",
+ year = "2000",
+ number = "ANL-95/11 - Revision 2.0.29",
+ institution = "Argonne National Laboratory",
+ }
+
+@incollection
+ {
+ Piran-1983-in-Red,
+ author = "Tsvi Piran",
+ title = "Methods of Numerical Relativity",
+ pages = "203--256",
+ editor = "Nathalie Deruelle and Tsvi Piran",
+ booktitle = "Gravitational Radiation",
+ publisher = "North-Holland",
+ address = "Amsterdam",
+ year = 1983,
+ isbn = "0-444-86560-8",
+ snote = "claims finite differenced constraints and evolution
+ are inconsistent; claim later refuted by Choptuik",
+ }
+
+@incollection
+ {
+ Pirani-1962-gravitational-radiation-survey,
+ author = "F. A. E. Pirani",
+ title = "Survey of Gravitational Radiation Theory",
+ pages = "89--105",
+ X-editor = "no editor given",
+ booktitle = "Recent Developments in General Relativity",
+ publisher = "Pa\'{n}stwowe Wydawnictwo Naukowe
+ (Polish Scientific Publishers)
+ and Pergammon Press",
+ address = "Warsaw and Oxford",
+ year = 1962,
+ X-isbn = "no ISBN",
+ note = "US~Library of Congress \#62-9878",
+ snote = "Infeld 60th Birthday Feshchrift",
+ }
+
+@article
+ {
+ Price-1982-GR-primer,
+ author = "Richard H. Price",
+ title = "General Relativity Primer",
+ journal = "The American Journal of Physics",
+ volume = 50, number = 4,
+ year = 1982, month = "April",
+ pages = "300--329",
+ note = "errata in 52(4), April 1984, p. 366--367",
+ snote = "++good introduction to general relativity, assuming only
+ that the reader has ``a familiarity ... with partial
+ differential equations and their application in physics,
+ as would certainly result from, say, a junior- or
+ senior-level course in electrodynamics''"
+ }
+
+@book
+ {
+ problem-book-in-rel-and-grav,
+ author = "Alan P. Lightman and William H. Press
+ and Richard H. Price and Saul A. Teukolsky",
+ title = "Problem Book in Relativity and Gravitation",
+ publisher = "Princeton University Press",
+ year = 1975,
+ isbn = "0-691-08160-3 (hardcover), 0-691-08162-X (paperback)"
+ }
+
+%
+% === Q ===
+%
+
+%
+% === R ===
+%
+
+@book
+ {
+ Ralston-Rabinowitz,
+ author = "Anthony Ralston and Philip Rabinowitz",
+ title = "A First Course in Numerical Analysis",
+ edition = "2nd",
+ publisher = "McGraw-Hill",
+ address = "New York",
+ year = 1978,
+ isbn = "0-07-051158-6",
+ }
+
+@phdthesis
+ {
+ Rauber-PhD,
+ author = "Joel D. Rauber",
+ title = "Initial Data for Black Hole Collisions",
+ X-supervisor = "James W. York, Jr.",
+ supervisor = "York, Jr., James W.",
+ school = "University of North Carolina at Chapel Hill",
+ department = "Physics and Astronomy",
+ year = 1985,
+ }
+
+@incollection
+ {
+ Rauber-1986-in-Centrella,
+ author = "Joel D. Rauber",
+ title = "Initial Data for Black Hole Collisions",
+ pages = "304--327",
+ editor = "Joan M. Centrella",
+ booktitle = "Dynamical Spacetimes and Numerical Relativity",
+ publisher = "Cambridge University Press",
+ address = "Cambridge, UK",
+ year = 1986,
+ isbn = "0-521-32860-8",
+ note = "Proceedings of the Workshop on Dynamical Spacetimes and
+ Numerical Relativity, Drexel University (Philadelphia,
+ Pennsylvania, USA), 7--11 October 1985",
+ }
+
+@book
+ {
+ Richtmyer-Morton,
+ author = "Robert D. Richtmyer and K. W. Morton",
+ title = "Difference Methods for Initial-Value Problems",
+ edition = "2nd Edition reprinted",
+ publisher = "Krieger Publishing Company",
+ X-publisher-1st-edition = "Interscience (1957)",
+ X-publisher-2nd-edition = "Wiley (1967)",
+ address = "Malabar, Florida, USA",
+ year = "1957, 1967, 1994",
+ isbn = "0-89464-763-6",
+ }
+
+@book
+ {
+ Rindler,
+ author = "Wolfgang Rindler",
+ title = "Essential Relativity: Special, General, and Cosmological",
+ edition = "Revised 2nd",
+ publisher = "Springer-Verlag",
+ address = "New York and Berlin",
+ year = 1977,
+ isbn = "0-387-10090-3 (New York), 3-540-10090-3 (Berlin)",
+ }
+
+@article
+ {
+ Rowan-Hough-2000-grav-wave-detection-review,
+ author = "Sheila Rowan and Jim Hough",
+ title = "Gravitational Wave Detection by Interferometry
+ (Ground and Space)",
+ journal = "Living Reviews in Relativity",
+ volume = 3, year = 2000, number = 3,
+ note = "Available online at
+ http://www.livingreviews.org/Articles/Volume3/2000-3hough",
+ }
+
+
+@article
+ {
+ RP3-experience,
+ author = "Ray Brant and Hung-Yang Chang and Bryan Rosenburg",
+ title = "Experience Developing the RP3 Operating System",
+ journal = "Computing Systems",
+ volume = 4, number = 3, pages = "183--216",
+ year = 1991, month = "Summer",
+ snote = "++good discussion of mistakes made + lessons learned",
+ }
+
+%
+% === S ===
+%
+
+@book
+ {
+ Sato-Nakamura,
+ author = "Humitaka Sato and Takashi Nakamura",
+ title = "Gravitational Collapse and Relativity",
+ publisher = "World Scientific",
+ address = "Singapore",
+ year = 1986,
+ isbn = "9971-50-207-0",
+ snote = "Proceedings of teh XIV Yamada Conference,
+ Kyoto, 7--11 April 1986",
+ }
+
+@article
+ {
+ Scheel-Shapiro-Teukolsky-1995a-BHE-Brans-Dicke,
+ author = "Mark A. Scheel and Stuart L. Shapiro and Saul A. Teukolsky",
+ title = "Collapse to Black Holes in {B}rans-{D}icke Theory:
+ {I}. Horizon Boundary Conditions for Dynamical Spacetimes",
+ journal = "Physical Review~D",
+ volume = 51, X-number = "FIXME",
+ pages = "4208--4235",
+ year = 1995, X-month = "FIXME (Jan--Mar)",
+ eprint = "gr-qc/9411025",
+ snote = "BHE evolution of collisionless matter in Brans-Dicke,
+ inner boundary inside horizon",
+ }
+
+@article
+ {
+ Scheel-Shapiro-Teukolsky-1995b-BHE-Brans-Dicke,
+ author = "Mark A. Scheel and Stuart L. Shapiro and Saul A. Teukolsky",
+ title = "Collapse to Black Holes in {B}rans-{D}icke Theory:
+ {II}. Comparison with General Relativity",
+ journal = "Physical Review~D",
+ volume = 51, X-number = "FIXME",
+ pages = "4236", X-ending-page = "FIXME",
+ year = 1995, X-month = "FIXME (Jan--Mar)",
+ eprint = "gr-qc/9411026",
+ snote = "BHE evolution of collisionless matter in Brans-Dicke,
+ inner boundary inside horizon",
+ }
+
+@article
+ {
+ SBCST-1997-3D-xzy-BHE-evolution,
+ author = "Mark A. Scheel and Thomas W. Baumgarte and Gregory B. Cook
+ and Stuart L. Shapiro and Saul A. Teukolsky",
+ title = "Numerical Evolution of Black Holes
+ with a Hyperbolic Formulation of General Relativity",
+ journal = "Physical Review~D",
+ volume = 56, number = 10,
+ pages = "6320--6335",
+ year = 1997, month = "15 November",
+ snote = "3D BHE evolution, xyz grid",
+ }
+
+@book
+ {
+ Schiesser-1991-MOL,
+ author = "W. E. Schiesser",
+ title = "The Numerical Method of Lines:
+ Integration of Partial Differential Equations",
+ publisher = "Academic Press",
+ address = "New York",
+ year = 1991,
+ isbn = "0-12-624130-9",
+ snote = "very elementary, doesn't even use matrix notation",
+ }
+
+@book
+ {
+ Schutz,
+ author = "Bernard F. Schutz",
+ title = "A First Course in General Relativity",
+ publisher = "Cambridge University Press",
+ address = "Cambridge (UK)",
+ year = "1985, 1986",
+ isbn = "0-521-25770-0 (hardcover), 0-521-27703-5 (paperback)",
+ }
+
+@book
+ {
+ Schutz-geom-meth-of-math-phys,
+ author = "Bernard F. Schutz",
+ title = "Geometrical Methods of Mathematical Physics",
+ publisher = "Cambridge University Press",
+ address = "Cambridge (UK)",
+ year = "1980, 1985, 1987, 1988, 1990",
+ isbn = "0-521-23271-6 (hardcover), 0-521-29887-3 (paperback)",
+ snote = "++nice intro to manifolds, differential forms, bundles,
+ Lie derivatives, etc",
+ }
+
+@article
+ {
+ Seidel-Suen-1992-BHE,
+ author = "Edward Seidel and Wai-Mo Suen",
+ title = "Towards a Singularity-Proof Scheme in Numerical Relativity",
+ journal = "Physical Review Letters",
+ volume = 69, number = 13,
+ pages = "1845--1848",
+ year = 1992, month = "28 September",
+ snote = "see \cite{ADMSS-1995-BHE} for further publication",
+ }
+
+@book
+ {
+ Shampine-Gordon-ODE-book,
+ author = "Lawrence F. Shampine and Marilyn K. Gordon",
+ title = "Computer Solution of Ordinary Differential Equations:
+ The Initial Value Problem",
+ publisher = "W. H. Freeman",
+ address = "San Francisco",
+ year = 1975,
+ isbn = "0-7167-0461-7",
+ }
+
+@incollection
+ {
+ Shapiro-in-GR12,
+ author = "Irwin I. Shapiro",
+ title = "Solar System Tests of General Relativity:
+ Recent Results and Present Plans",
+ pages = "313--330",
+ editor = "Neil Ashby and David F. Bartlett and Walter Wyss",
+ booktitle = "General Relativity and Gravitation, 1989",
+ booksubtitle = "Proceedings of the
+ 12th International Conference on General Relativity
+ and Gravitation, Boulder (USA), 2-8 July 1989",
+ publisher = "Cambridge University Press",
+ address = "Cambridge (UK)",
+ year = 1990,
+ isbn = "0-521-38428-1",
+ }
+
+@article
+ {
+ Shibata-Nakamura-1995-BSSN,
+ author = "Masaru Shibata and Takashi Nakamura",
+ title = "Evolution of three-dimensional gravitational waves:
+ Harmonic slicing case",
+ journal = "Physical Review~D",
+ volume = 52, number = 10,
+ pages = "5428-5444",
+ year = 1995, month = "15 November",
+ snote = "introduced what is now called BSSN formulation,
+ see also Baumgarte-Shapiro-1999-BSSN",
+ }
+
+@article
+ {
+ Shoemaker-Huq-Matzner-2000-3D-xyz-horizon-finding,
+ author = "Deirdre M. Shoemaker and Mijan F. Huq and Richard A. Matzner",
+ title = "Generic Tracking of Multiple Apparent Horizons
+ with Level Flow",
+ journal = "Physical Review~D",
+ year = "2000", month = "17 November",
+ volume = 62,
+ pages = "124005 (12 pages)",
+ eprint = "gr-qc/0004062",
+ }
+
+@phdthesis
+ {
+ Smarr-PhD,
+ author = "Larry Lee Smarr",
+ title = "The Structure of General Relativity
+ with a Numerical Illustration:
+ The Collision of Two Black Holes",
+ supervisor = "Bryce S. DeWitt",
+ school = "University of Texas at Austin",
+ department = "Physics",
+ year = 1975, month = "January",
+ snote = "University Microfilms Order \#DA 75-16738",
+ }
+
+@incollection
+ {
+ Smarr-1984-in-GR10,
+ author = "Larry L. Smarr",
+ title = "Computational Relativity: Numerical and
+ Algebraic Approaches (Report of Workshop {A}4)",
+ pages = "163--183",
+ editor = "B. Bertotti and F. de Felice and A. Pascolini",
+ booktitle = "General Relativity and Gravitation:
+ Invited Papers and Discussion Reports of the
+ 10th International Conference on General Relativity
+ and Gravitation, Padua, July 3--8 1983",
+ publisher = "Reidel",
+ address = "Dordrecht (Netherlands)",
+ year = 1984,
+ isbn = "90-277-1819-9",
+ }
+
+@incollection
+ {
+ Shapiro-Teukolsky-1986-in-Centrella,
+ author = "Stuart L. Shapiro and Saul A. Teukolsky",
+ title = "Relativistic Stellar Dynamics on the Computer",
+ pages = "74--100",
+ editor = "Joan M. Centrella",
+ booktitle = "Dynamical Spacetimes and Numerical Relativity",
+ publisher = "Cambridge University Press",
+ address = "Cambridge, UK",
+ year = 1986,
+ isbn = "0-521-32860-8",
+ snote = "includes ``Holy Grail'' description (p.76)",
+ note = "Proceedings of the Workshop on Dynamical Spacetimes and
+ Numerical Relativity, Drexel University (Philadelphia,
+ Pennsylvania, USA), 7--11 October 1985",
+ }
+
+@book
+ {
+ Smarr:Yellow,
+ editor = "Larry L. Smarr",
+ title = "Sources of Gravitational Radiation",
+ publisher = "Cambridge University Press",
+ address = "Cambridge, UK",
+ year = 1979,
+ isbn = "0-521-22778-X",
+ snote = "Proceedings of the Battelle Seattle Workshop,
+ 24 July -- 4 August, 1978",
+ }
+
+@article
+ {
+ Smarr-York-1978-minimal-distortion-theory,
+ X-author = "Larry L. Smarr and James W. York, Jr.",
+ author = "Larry L. Smarr and York, Jr., James W.",
+ title = "Radiation Gauge in General Relativity",
+ journal = "Physical Review~D",
+ volume = 17, number = 8,
+ pages = "1945--1956",
+ year = 1978, month = "15 April",
+ snote = "general theory for minimal distortion coordinates",
+ }
+
+@article
+ {
+ Smarr-York-1978-minimal-distortion-examples,
+ X-author = "Larry L. Smarr and James W. York, Jr.",
+ author = "Larry L. Smarr and York, Jr., James W.",
+ title = "Kinematical Conditions in the Construction of Spacetime",
+ journal = "Physical Review~D",
+ volume = 17, number = 10,
+ pages = "2529--2551",
+ year = 1978, month = "15 May",
+ snote = "gravitational degrees of freedom,
+ theoretical analysis of exponential decay of lapse
+ in maximal slicing,
+ examples (also theory, justification) of
+ minimal distortion coordinates",
+ }
+
+@incollection
+ {
+ Smarr-1979-2BH-in-Yellow,
+ author = "Larry L. Smarr",
+ title = "Gauge Conditions, Raidation Formulae,
+ and the Two Black Hole Collision",
+ pages = "245--274",
+ editor = "Larry L. Smarr",
+ booktitle = "Sources of Gravitational Radiation",
+ publisher = "Cambridge University Press",
+ address = "Cambridge, UK",
+ year = 1979,
+ isbn = "0-521-22778-X",
+ snote = "Proceedings of the Battelle Seattle Workshop,
+ 24 July -- 4 August, 1978",
+ }
+
+@book
+ {
+ Sod:num-PDEs,
+ author = "Gary A. Sod",
+ title = "Numerical Methods in Fluid Dynamics",
+ publisher = "Cambridge University Press",
+ address = "Cambridge (UK)",
+ year = "1985, 1986",
+ isbn = "0-521-25924-X",
+ }
+
+@incollection
+ {
+ Stachel-how-Einstein-discovered-GR--in-GR11,
+ author = "J. J. Stachel",
+ title = "How {E}instein Discovered General Relativity:
+ {A} Historical Tale with some Contemporary Morals",
+ pages = "200--208",
+ editor = "Malcolm A. H. MacCallum",
+ booktitle = "General Relativity and Gravitation",
+ booksubtitle = "Proceedings of the
+ 11th International Conference on General Relativity
+ and Gravitation, Stockholm (Sweden), 6-12 July 1986",
+ publisher = "Cambridge University Press",
+ address = "Cambridge (UK)",
+ year = 1987,
+ isbn = "0-521-33296-6",
+ }
+
+@incollection
+ {
+ Stewart-1984-numerical-relativity-survey,
+ author = "John M. Stewart",
+ title = "Numerical Relativity",
+ pages = "231--262",
+ editor = "W. B. Bonner and J. N. Islam and Malcolm A. H. MacCallum",
+ booktitle = "Classical General Relativity",
+ publisher = "Cambridge University Press",
+ address = "Cambridge (UK)",
+ year = 1984,
+ isbn = "0-521-26747-1",
+ snote = "claims finite differenced constraints and evolution
+ are inconsistent; claim later refuted by Choptuik",
+ }
+
+@book
+ {
+ Stoer-Bulirsch,
+ author = "Josef Stoer and Roland Bulirsch",
+ title = "Introduction to Numerical Analysis",
+ publisher = "Springer-Verlag",
+ address = "New York and Berlin",
+ year = 1980,
+ isbn = "0-387-90420-4 (New York), 3-540-90420-4 (Berlin)",
+ }
+
+@book
+ {
+ Straumann,
+ author = "Norbert Straumann",
+ title = "General Relativity and Relativistic Astrophysics",
+ publisher = "Springer-Verlag",
+ address = "New York and Berlin",
+ year = "1981, 1984, 1988, 1991",
+ isbn = "3-540-53743-0 (Berlin), 0-387-53743-0 (New York)",
+ }
+
+@book
+ {
+ Synge-Schild,
+ author = "J. L. Synge and Alfred Schild",
+ title = "Tensor Calculus",
+ publisher = "Dover",
+ X-publisher-original = "University of Toronto Press (1949)",
+ address = "New York",
+ year = "1949, 1978",
+ isbn = "0-486-63612-7",
+ }
+
+%
+% === T ===
+%
+
+@book
+ {
+ Taylor-Wheeler-1st-edition,
+ author = "Edwin F. Taylor and John Archibald Wheeler",
+ title = "Spacetime Physics",
+ edition = "1st",
+ publisher = "W. H. Freeman",
+ year = "1963, 1966",
+ isbn = "0-7167-0336-X (paperback)",
+ snote = "++good, but 2nd edition is even better",
+ }
+
+@book
+ {
+ Taylor-Wheeler,
+ author = "Edwin F. Taylor and John Archibald Wheeler",
+ title = "Spacetime Physics",
+ edition = "2nd",
+ publisher = "W. H. Freeman",
+ year = 1992,
+ isbn = "0-7167-2326-3 (hardcover) 0-7167-2327-1 (paperback)",
+ snote = "++good, the best intro to special relativity around",
+ }
+
+@article
+ {
+ TWDW-1992-GR-tests-Nature-review,
+ author = "J. H. Taylor and A. Wolszczan
+ and Thibault Damour and J. M. Weisberg",
+ title = "Experimental Constraints on Strong-Field
+ Relativistic Gravity",
+ journal = "Nature",
+ volume = 355, X-number = "FIXME",
+ pages = "132--136",
+ year = 1992, month = "9 January",
+ snote = "general review of binary pulsar tests of GR",
+ }
+
+@incollection
+ {
+ Taylor-in-GR11,
+ author = "Joseph H. Taylor",
+ title = "Astronomical And Space Experiments to Test Relativity",
+ pages = "209--222",
+ editor = "Malcolm A. H. MacCallum",
+ booktitle = "General Relativity and Gravitation",
+ booksubtitle = "Proceedings of the
+ 11th International Conference on General Relativity
+ and Gravitation, Stockholm (Sweden), 6-12 July 1986",
+ publisher = "Cambridge University Press",
+ address = "Cambridge (UK)",
+ year = 1987,
+ isbn = "0-521-33296-6",
+ }
+
+@incollection
+ {
+ Taylor-in-GR13,
+ author = "Joseph H. Taylor",
+ title = "Testing Relativistic Gravity
+ with Binary and Millisecond Pulsars",
+ pages = "287--294",
+ editor = "R. J. Gleiser and C. N. Kozameh and O. M. Moreschi",
+ booktitle = "General Relativity and Gravitation 1992",
+ booksubtitle = "Proceedings of the
+ 13th International Conference on General Relativity
+ and Gravitation, Cordoba (Argentina),
+ 28 June -- 4 July 1992",
+ publisher = "(UK) Institute of Physics Publishing",
+ address = "Bristol (UK) and Philadelphia (USA)",
+ year = 1993,
+ isbn = "0-7503-0261-5",
+ }
+
+@book
+ {
+ Thompson:num-grid-gen,
+ author = "Joe F. Thompson",
+ title = "Numerical Grid Generation",
+ publisher = "North-Holland",
+ address = "New York",
+ year = 1982,
+ snote = "Proceedings of a Symposium on the Numerical Generation
+ of Curvilinear Coordinate Systems and their Use in the
+ Numerical Solution of Partial Differential Equations,
+ April 1982, Nashville, Tennessee",
+ isbn = "0-444-00757-1",
+ }
+
+@book
+ {
+ Thompson-Warsi-Mastin:num-grid-gen,
+ author = "Joe F. Thompson and Z. U. A. Warsi and C. Wayne Mastin",
+ title = "Numerical Grid Generation: Foundations and Applications",
+ publisher = "North-Holland",
+ address = "New York",
+ year = 1985,
+ isbn = "0-444-00985-1",
+ }
+
+@mastersthesis
+ {
+ Thornburg-MSc,
+ author = "Jonathan Thornburg",
+ title = "Coordinates and Boundary Conditions
+ for the General Relativistic Initial Data Problem",
+ supervisor = "William G. Unruh",
+ school = "University of British Columbia",
+ department = "Geophysics and Astronomy",
+ year = 1985, month = "November",
+ snote = "black hole excision, multiple coordinate patches,
+ initial data, maximal slicing",
+ }
+
+@article
+ {
+ Thornburg-1987-2BH-initial-data,
+ author = "Jonathan Thornburg",
+ title = "Coordinates and Boundary Conditions
+ for the General Relativistic Initial Data Problem",
+ journal = "Classical and Quantum Gravity",
+ volume = 4, X-number = "FIXME",
+ pages = "1119--1131",
+ year = 1987, X-month = "FIXME",
+ snote = "black hole excision, multiple coordinate patches,
+ initial data, maximal slicing, MSc paper;
+ this was the 1st publication of black hole excision",
+ }
+
+@incollection
+ {
+ Thornburg-1989-in-Frontiers,
+ author = "Jonathan Thornburg",
+ title = "A PDE~Compiler for Full-Metric Numerical Relativity",
+ pages = "370--384",
+ editor = "Charles R. Evans and Lee S. Finn and David W. Hobill",
+ booktitle = "Frontiers in Numerical Relativity",
+ publisher = "Cambridge University Press",
+ address = "Cambridge (UK)",
+ year = 1989,
+ isbn = "0-521-36666-6",
+ snote = "early version of my PhD thesis PDE compiler (now obselete)",
+ note = "Proceedings of the International Workshop on Numerical
+ Relativity, University of Illinois at Urbana-Champaign
+ (Urbana-Champaign, Illinois, USA), 9--13 May 1988",
+ }
+
+@misc
+ {
+ Thornburg-1991-BHE-talk,
+ author = "Jonathan Thornburg",
+ title = "Numerical Relativity in Black Hole Spacetimes",
+ type = "oral presentation (talk)",
+ meeting = "CITA Workshop on Numerical Relativity",
+ organization = "Canadian Institute for Theoretical Astrophysics,
+ University of Toronto",
+ year = 1991, month = "30 May",
+ note = "unpublished talk given at the
+ CITA Workshop on Numerical Relativity,
+ Canadian Institute for Theoretical Astrophysics,
+ University of Toronto",
+ snote = "2-day meeting organized by Matt Choptuik",
+ }
+
+@phdthesis
+ {
+ Thornburg-PhD,
+ author = "Jonathan Thornburg",
+ title = "Numerical Relativity in Black Hole Spacetimes",
+ supervisor = "William G. Unruh",
+ school = "University of British Columbia",
+ department = "Geophysics and Astronomy",
+ year = 1993, month = "March",
+ }
+
+@article
+ {
+ Thornburg-1996-horizon-finding,
+ author = "Jonathan Thornburg",
+ title = "Finding Apparent Horizons in Numerical Relativity",
+ journal = "Physical Review~D",
+ volume = 54, number = 8,
+ pages = "4899--4918",
+ year = 1996, month = "15 October",
+ eprint = "gr-qc/9508014",
+ }
+
+@article
+ {
+ Thornburg-1999-sssf-initial-data,
+ author = "Jonathan Thornburg",
+ title = "A $3+1$ Computational Scheme for Dynamic
+ Spherically Symmetric Black Hole Spacetimes
+ -- {I}: Initial Data",
+ journal = "Physical Review~D",
+ volume = 59, number = 10,
+ pages = "104007 (26 pages)",
+ year = 1999, month = "15 May",
+ eprint = "gr-qc/9801087",
+ snote = "PRD deleted the `I:' from the title. I don't like this.",
+ }
+
+@techreport
+ {
+ Thornburg-1999-sssf-evolution,
+ author = "Jonathan Thornburg",
+ title = "A $3+1$ Computational Scheme for Dynamic
+ Spherically Symmetric Black Hole Spacetimes
+ -- {II}: Time Evolution",
+ year = 1999, month = "November",
+ number = "UWThPh-1999-38",
+ eprint = "gr-qc/9906022",
+ note = "version 2, submitted to Physical Review~D",
+ }
+
+% date is that of gr-qc preprint
+@techreport
+ {
+ Thornburg-2000-mpe-mg9,
+ author = "Jonathan Thornburg",
+ title = "A Multiple-Grid-Patch Evolution Scheme
+ for 3-{D} Black Hole Excision",
+ year = 2000, month = "December",
+ number = "UWThPh-2000-50",
+ eprint = "gr-qc/0012012",
+ note = "to appear in Proceedings of the 9th Marcel Grossman Meeting",
+ }
+
+@article
+ {
+ Thorne-1980-RMP-tensor-spherical-harmonics,
+ author = "Kip S. Thorne",
+ title = "Multipole Expansions of Gravitational Radiation",
+ journal = "Reviews of Modern Physics",
+ pages = "299--339",
+ volume = 52, number = 2, series = "Part 1",
+ year = 1980, month = "April",
+ }
+
+@book
+ {
+ Thorne-Price-Macdonald:Membrane,
+ author = "Kip S. Thorne and Richard H. Price and Douglas A. Macdonald",
+ title = "Black Holes: The Membrane Paradigm",
+ publisher = "Yale University Press",
+ address = "New Haven and London",
+ year = 1986,
+ ISBN = "0-300-03769-4 (hardcover), 0-300-03770-8 (paperback)",
+ }
+
+@article
+ {
+ Tod-1991-horizon-finding,
+ author = "Paul Tod",
+ title = "Looking for Marginally Trapped Surfaces",
+ journal = "Classical and Quantum Gravity",
+ volume = 8, year = 1991, pages = "L115--L118",
+ snote = "curvature flow method",
+ }
+
+@article
+ {
+ Trautman-1958a-radiation-BCs,
+ author = "Andrzej Trautman",
+ title = "Boundary Conditions at Infinity for Physical Theories",
+ journal = "Bulletin of the Polish Academy of Sciences",
+ series = "Mathematics, Astronomy, and Physics Series",
+ pages = "403--406",
+ volume = "VI", number = 6,
+ year = 1958, X-month = "FIXME",
+ }
+
+@article
+ {
+ Trautman-1958b-radiation-BCs,
+ author = "Andrzej Trautman",
+ title = "Radiation and Boundary Conditions
+ in the Theory of Gravitation",
+ journal = "Bulletin of the Polish Academy of Sciences",
+ series = "Mathematics, Astronomy, and Physics Series",
+ pages = "407--412",
+ volume = "VI", number = 6,
+ year = 1958, X-month = "FIXME",
+ }
+
+@book
+ {
+ Trautman-Pirani-Bondi:Brandeis,
+ author = "Andrzej Trautman and F. A. E. Pirani and Herman Bondi",
+ title = "General Relativity",
+ publisher = "Prentice-Hall",
+ address = "Englewood Cliffs",
+ year = 1964,
+ library = "QC6 B675",
+ note = "1964 Brandeis Summer Institute in Theoretical Physics,
+ volume 1 of 2,
+ US~Library of Congress \#65-16531",
+ }
+
+@article
+ {
+ Turkel-Abarbanel-Gottlieb-1976-4th-order-FD,
+ author = "E. Turkel and S. Abarbanel and David Gottlieb",
+ title = "Multidimensional Difference Schemes
+ with Fourth-Order Accuracy",
+ journal = "Journal of Computational Physics",
+ volume = "21", X-number = "FIXME",
+ pages = "85--113",
+ year = 1976, X-month = "FIXME",
+ snote = "quasilinear divergence-free multidimensional hyperbolic eqns,
+ uses 4 substeps (sort of like operator splitting",
+ }
+
+%
+% === U ===
+%
+
+@misc
+ {
+ Unruh-1984-BHE-suggestion,
+ author = "William G. Unruh",
+ type = "private conversation with Jonathan Thornburg",
+ year = 1984, month = "August",
+ note = "personal communication",
+ snote = "Bill Unruh's original suggestion to me
+ of the black-hole-exclusion concept.",
+ }
+
+@misc
+ {
+ Unruh-1988-const-3det-coords-suggestion,
+ author = "William G. Unruh",
+ type = "private conversation with Jonathan Thornburg",
+ year = 1988, month = "January",
+ note = "personal communication",
+ snote = "Bill Unruh's suggestion to me of $\partial_t g = 0$
+ as a coordinate condition.",
+ }
+
+@misc
+ {
+ Unruh-Wald-1993-proof-horizon-causality,
+ author = "William G. Unruh and Robert M. Wald",
+ type = "private talk(1) session with Jonathan Thornburg",
+ organization = "University of British Columbia Physics Department",
+ year = 1993, month = "1 February",
+ note = "personal communication",
+ snote = "Argument that no future-pointing null geodesic can
+ cross an apparent horizon from inside to outside.
+ See section 2.4 (p.22) of my PhD thesis.",
+ }
+
+%
+% === V ===
+%
+
+@inbook
+ {
+ Vemuri-Karplus-1981-MOL-section,
+ author = "V. Vemuri and Walter J. Karplus",
+ booktitle = "Digital Computer Treatment of
+ Partial Differential Equations",
+ publisher = "Prentice-Hall",
+ address = "Englewood Cliffs",
+ year = 1981,
+ isbn = "0-13-212407-6",
+ title = "Method of Lines for Initial Value Problems",
+ section = "6.9", pages = "167--171",
+ snote = "nice short MOL intro",
+ }
+
+@article
+ {
+ VSLHB-1996-cosmological-EYM-BMcK-solutions,
+ author = "M.S. Volkov and N. Straumann
+ and G. Lavrelashvili and M. Heusler and O. Brodbeck",
+ title = "Cosmological Analogues of the {B}artnik--{McK}innon Solutions",
+ journal = "Physical Review~D",
+ volume = 54, X-number = "FIXME",
+ pages = "7243--7251",
+ year = 1996, X-month = "FIXME",
+ }
+
+%
+% === W ===
+%
+
+@book
+ {
+ Wald,
+ author = "Robert M. Wald",
+ title = "General Relativity",
+ publisher = "University of Chicago Press",
+ address = "Chicago",
+ year = 1984,
+ isbn = "0-226-87032-4 (hardcover), 0-226-87033-2 (paperback)",
+ }
+
+@article
+ {
+ Wald-Iyer-1991-Schw-slicing-with-no-AH,
+ author = "Robert M. Wald and Vivek Iyer",
+ title = "Trapped Surfaces in the {S}chwarzschild Geometry
+ and Cosmic Censorship",
+ journal = "Physical Review~D",
+ volume = 44, number = 12,
+ pages = "R3719--R3722",
+ year = 1991, month = "15 December",
+ }
+
+@book
+ {
+ Weinberg,
+ author = "Steven Weinberg",
+ title = "Gravitation and Cosmology:
+ Principles and Applications of
+ the General Theory of Relativity",
+ publisher = "Wiley",
+ address = "New York",
+ year = 1972,
+ isbn = "0-471-92567-5",
+ }
+
+@book
+ {
+ Weber-Karade,
+ author = "Joseph Weber and T. M. Karade",
+ title = "Gravitational Radiation and Relativity",
+ publisher = "World Scientific",
+ address = "Singapore",
+ year = 1986,
+ isbn = "9971-978-88-1",
+ snote = "Proceedings of the Sir Arthur Eddington Centenary Symposium",
+ }
+
+@book
+ {
+ Will-1st-edition,
+ author = "Clifford M. Will",
+ title = "Theory and Experiment in Gravitational Physics",
+ edition = "1st",
+ publisher = "Cambridge University Press",
+ address = "Cambridge (UK)",
+ year = "1981, 1985",
+ isbn = "0-521-23237-6 (hardcover), 0-521-31710-X (paperback)",
+ }
+
+@book
+ {
+ Will,
+ author = "Clifford M. Will",
+ title = "Theory and Experiment in Gravitational Physics",
+ edition = "Revised",
+ publisher = "Cambridge University Press",
+ address = "Cambridge (UK)",
+ year = "1993",
+ isbn = "0-521-43973-6 (paperback)",
+ snote = "Only adds one new ``update'' chapter to 1st edition",
+ }
+
+@book
+ {
+ Will-Was-Einstein-Right-2nd,
+ author = "Clifford M. Will",
+ title = "Was {E}instein Right?:
+ {P}utting General Relativity to the Test",
+ Edition = "2nd",
+ Publisher = "Perseus/Basic Books",
+ isbn = "0-465-09086-9 (paperback)",
+ year = "1993 (2nd edition may be newer??)",
+ snote = "++good popular account of experimental tests of GR",
+ }
+
+
+@article
+ {
+ Will-physics-today-Oct-1999,
+ author = "Clifford M. Will",
+ title = "Gravitational Radiation
+ and the Validity of General Relativity",
+ journal = "Physics Today",
+ volume = 52, number = 10,
+ year = 1999, month = "October",
+ pages = "38",
+ note = "Available online at
+ http://wugrav.wustl.edu/People/CLIFF/phystoday.ps",
+ }
+
+@unpublished
+ {
+ Will-update-1998,
+ author = "Clifford M. Will",
+ title = "The Confrontation Between General Relativity
+ and Experiment: A 1998 Update",
+ year = 1999, month = "11 November",
+ note = "Lecture notes from the 1998 SLAC Summer Institute
+ on Particle Physics,
+ also gr-qc/9811036
+ (http://arxiv.org/abs/gr-qc/9811036 and many mirrors),
+ also http://wugrav.wustl.edu/People/CLIFF/update98.ps ,
+ also audio and video of the lecture at
+ http://www.slac.stanford.edu/gen/meeting/ssi/1998/will.html
+ ",
+ }
+
+@article
+ {
+ Winicour-2001-characteristic-evolution+matching-review,
+ author = "Jeffrey Winicour",
+ title = "Characteristic Evolution and Matching",
+ journal = "Living Reviews in Relativity",
+ year = 2001, number = "(to appear)",
+ eprint = "gr-qc/0102085",
+ }
+
+@book
+ {
+ Winkler-Norman,
+ author = "Karl-Heinz A. Winkler and Michael L. Norman",
+ title = "Astrophysical Radiation Hydrodynamics",
+ publisher = "Reidel",
+ address = "Dordrecht (Netherlands)",
+ year = 1986,
+ isbn = "90-277-2335-4",
+ snote = "NATO ASI Series;
+ Series C: Mathematical and Physical Sciences, Volume 188;
+ Proceedings of the NATO Advanced Research Workshop on
+ Astrophysical Radiation Hydrodynamics, 2--13 August 1982",
+ }
+
+% === X ===
+%
+
+%
+% === Y ===
+%
+
+@article
+ {
+ York-1971-York-decomposition,
+ X-author = "James W. York, Jr.",
+ author = "York, Jr., James W.",
+ title = "Gravitational Degrees of Freedom
+ and the Initial-Value Problem",
+ journal = "Physical Review Letters",
+ volume = 26, number = 26,
+ pages = "1656--1658",
+ year = 1971,
+ }
+
+@article
+ {
+ York-1972-York-decomposition,
+ X-author = "James W. York, Jr.",
+ author = "York, Jr., James W.",
+ title = "Role of Conformal Three-Geometry
+ in the Dynamics of Gravitation",
+ journal = "Physical Review Letters",
+ volume = 28, number = 16,
+ pages = "1082--1085",
+ year = 1972,
+ }
+
+@article
+ {
+ York-1973-York-decomposition,
+ X-author = "James W. York, Jr.",
+ author = "York, Jr., James W.",
+ title = "Conformally Invariant Orthogonal Decomposition
+ of Symmetric Tensors on {R}iemannian Manifolds
+ and the Initial Value Problem of General Relativity",
+ journal = "Journal of Mathematical Physics",
+ volume = 14, number = 4,
+ pages = "456--464",
+ year = 1973, month = "April",
+ }
+
+@incollection
+ {
+ York-1979-in-Yellow,
+ X-author = "James W. York, Jr.",
+ author = "York, Jr., James W.",
+ title = "Kinematics and Dynamics of General Relativity",
+ pages = "83--126",
+ editor = "Larry L. Smarr",
+ booktitle = "Sources of Gravitational Radiation",
+ publisher = "Cambridge University Press",
+ address = "Cambridge, UK",
+ year = 1979,
+ isbn = "0-521-22778-X",
+ snote = "Proceedings of the Battelle Seattle Workshop,
+ 24 July -- 4 August, 1978",
+ }
+
+@incollection
+ {
+ York-1980-in-Taub-festschrift,
+ X-author = "James W. York, Jr.",
+ author = "York, Jr., James W.",
+ title = "Energy and Momentum of the Gravitational Field",
+ pages = "39--58",
+ editor = "Frank J. Tipler",
+ booktitle = "Essays in General Relativity:
+ A Festschrift for {A}braham {T}aub",
+ publisher = "Academic Press",
+ address = "New York",
+ year = 1980,
+ isbn = "0-12-691380-3",
+ }
+
+@incollection
+ {
+ York-1983-in-Red,
+ X-author = "James W. York, Jr.",
+ author = "York, Jr., James W.",
+ title = "The Initial Value Problem and Dynamics",
+ pages = "175--201",
+ editor = "Nathalie Deruelle and Tsvi Piran",
+ booktitle = "Gravitational Radiation",
+ publisher = "North-Holland",
+ address = "Amsterdam",
+ year = 1983,
+ isbn = "0-444-86560-8",
+ snote = "Les Houches proceedings, 2--21 June 1982"
+ }
+
+@article
+ {
+ York-1984-N-BH-initial-data,
+ X-author = "James W. York, Jr.",
+ author = "York, Jr., James W.",
+ title = "Initial Data for $N$ Black Holes",
+ journal = "Physica A",
+ volume = 124, X-number = "FIXME",
+ pages = "629--638",
+ year = 1984, X-month = "FIXME",
+ }
+
+@incollection
+ {
+ York-1985-in-Centrella-LeBlank-Bowers,
+ X-author = "James W. York, Jr.",
+ author = "York, Jr., James W.",
+ title = "Spacetime Engineering",
+ pages = "176--189",
+ editor = "Joan M. Centrella and James M. LeBlanc
+ and Richard L. Bowers",
+ booktitle = "Numerical Astrophysics",
+ publisher = "Jones and Bartlett",
+ address = "Boston",
+ year = 1985,
+ isbn = "0-86720-048-0",
+ snote = "60th birthday festschrift for {J}ames {R}. {W}ilson",
+ }
+
+@incollection
+ {
+ York-1987-in-Robinson-festschrift,
+ X-author = "James W. York, Jr.",
+ author = "York, Jr., James W.",
+ title = "Bel-Robinson Gravitational Superenergy and Flatness",
+ pages = "497--505",
+ editor = "Wolfgang Rindler and Andrzej Trautman",
+ booktitle = "Gravitation and Geometry:
+ A Volume in Honour of {I}vor {R}obinson",
+ publisher = "Bibliopolis",
+ address = "Naples",
+ year = 1987,
+ isbn = "88-7088-142-3",
+ }
+
+@incollection
+ {
+ York-1989-in-Frontiers,
+ X-author = "James W. York, Jr.",
+ author = "York, Jr., James W.",
+ title = "Initial Data for Collisions of Black Holes
+ and Other Gravitational Miscellany",
+ pages = "89--109",
+ editor = "Charles R. Evans and Lee S. Finn and David W. Hobill",
+ booktitle = "Frontiers in Numerical Relativity",
+ publisher = "Cambridge University Press",
+ address = "Cambridge (UK)",
+ year = 1989,
+ isbn = "0-521-36666-6",
+ note = "Proceedings of the International Workshop on Numerical
+ Relativity, University of Illinois at Urbana-Champaign
+ (Urbana-Champaign, Illinois, USA), 9--13 May 1988",
+ }
+
+@incollection
+ {
+ York-Piran-1982-in-Schild-lectures,
+ X-author = "James W. York, Jr. and Tsvi Piran",
+ author = "York, Jr., James W. and Tsvi Piran",
+ title = "The Initial Value Problem and Beyond",
+ pages = "147--176",
+ editor = "Richard A. Matzner and Lawrence C. Shepley",
+ booktitle = "Spacetime and Geometry: The {A}lfred {S}child Lectures",
+ publisher = "University of Texas Press",
+ address = "Austin (Texas)",
+ year = 1982,
+ isbn = "0-292-77567-9",
+ }
+
+%
+% === Z ===
+%
+
+@article
+ {
+ Zannias-1990-mass-function,
+ author = "T. Zannias",
+ title = "Spacetimes Admitting a Three-Parameter Group of Isometries
+ and Quasilocal Gravitational Mass",
+ journal = "Physical Review~D",
+ volume = 41, number = 10,
+ pages = "3252--3254",
+ year = 1990, month = "15 May",
+ }
diff --git a/doc/prog.tex b/doc/prog.tex
index 79c8242..a9058ff 100644
--- a/doc/prog.tex
+++ b/doc/prog.tex
@@ -1,4 +1,5 @@
\documentclass{article}
+\bibliographystyle{alpha}
% get size/spacing of "++" right, cf online C++ FAQ question 35.1
\def\Cplusplus{\hbox{C\raise.25ex\hbox{\footnotesize ++}}}
@@ -25,4 +26,8 @@ documentation.
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+\bibliography{jt}
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
\end{document}
diff --git a/doc/user.tex b/doc/user.tex
new file mode 100644
index 0000000..fc1c8d6
--- /dev/null
+++ b/doc/user.tex
@@ -0,0 +1,52 @@
+\documentclass{article}
+\bibliographystyle{alpha}
+
+% our own name
+\def\ahf{{\tt AHFinderDirect}}
+
+% get size/spacing of "++" right, cf online C++ FAQ question 35.1
+\def\Cplusplus{\hbox{C\raise.25ex\hbox{\footnotesize ++}}}
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+\begin{document}
+\title{The \ahf{} Thorn -- User's Guide}
+\author{Jonathan Thornburg {\tt jthorn@aei.mpg.de}}
+%
+% We want CVS to expand the Id keyword on the next line, but we don't
+% want TeX to go into math mode to typeset the expansion (because that
+% wouldn't look as nice in the output), so we use the "$ $" construct
+% to get TeX out of math mode again when typesetting the expansion.
+%
+\date{$ $Id$ $}
+\maketitle
+
+\abstract{
+This document is a user's guide for the \ahf{} thorn.
+See the programmer's guide in the same directory for implementation
+documentation.
+}
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+\section{Introduction}
+
+
+The \ahf{} thorn locates apparent horizons using the direct method
+described in \cite{Thornburg-1996-horizon-finding}, modified to work
+with Cartesian $(x,y,z)$-grid input data, and using the multiple-patch
+scheme described in \cite{Thornburg-2000-mpe-mg9}.
+
+In this method we posing the apparent horizon equation as an elliptic
+PDE on angular-coordinate space, and solve this PDE using a global
+Newton (actually Newton-Kantorovich) method, updating all points
+simultaneously at each iteration. We use a sparse $\sf LU$ decomposition
+for the underlying linear-equation solver.
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+\bibliography{jt}
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+\end{document}