diff options
-rw-r--r-- | doc/Makefile | 16 | ||||
-rw-r--r-- | doc/jt.bib | 4494 | ||||
-rw-r--r-- | doc/prog.tex | 5 | ||||
-rw-r--r-- | doc/user.tex | 52 |
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} |