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New integrator Euler. This is an explicit, first-order method, mostly
useful for debugging.
New integrators AB (Adams-Bashforth) with various orders. These are
explicit integrators using several past timelevels to provide
higher-order integration with a single RHS evaluation each.
Introduce LinearCombination, a generic routine to calculate linear
combinations of grid functions. This simplifies existing code, and can
be overloaded if MoL should run on a device (e.g. with OpenCL).
Replace cctk_lsh with cctk_ash where necessary.
git-svn-id: http://svn.cactuscode.org/arrangements/CactusNumerical/MoL/trunk@190 578cdeb0-5ea1-4b81-8215-5a3b8777ee0b
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The compiler doesn't know that CCTK_WARN(0,…) is fatal.
git-svn-id: http://svn.cactuscode.org/arrangements/CactusNumerical/MoL/trunk@189 578cdeb0-5ea1-4b81-8215-5a3b8777ee0b
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git-svn-id: http://svn.cactuscode.org/arrangements/CactusNumerical/MoL/trunk@187 578cdeb0-5ea1-4b81-8215-5a3b8777ee0b
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Declare variables where they are first used.
git-svn-id: http://svn.cactuscode.org/arrangements/CactusNumerical/MoL/trunk@183 578cdeb0-5ea1-4b81-8215-5a3b8777ee0b
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git-svn-id: http://svn.cactuscode.org/arrangements/CactusNumerical/MoL/trunk@129 578cdeb0-5ea1-4b81-8215-5a3b8777ee0b
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This integrator is similar to the existing RK45 integrator. It also
supports adaptive time stepping, but uses slightly different
coefficients. The Numerical Recipes say that it has "slightly better
error properties".
git-svn-id: http://svn.cactuscode.org/arrangements/CactusNumerical/MoL/trunk@110 578cdeb0-5ea1-4b81-8215-5a3b8777ee0b
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Simplify some complex arithmetic.
Initialise the error variable in the RK45 integrator only after the
last iteration.
git-svn-id: http://svn.cactuscode.org/arrangements/CactusNumerical/MoL/trunk@104 578cdeb0-5ea1-4b81-8215-5a3b8777ee0b
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git-svn-id: http://svn.cactuscode.org/arrangements/CactusNumerical/MoL/trunk@91 578cdeb0-5ea1-4b81-8215-5a3b8777ee0b
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Fourth order accurate evolution with an additional fifth order step for error estimation. How much sense the error makes is unclear to me, but hey.
For the moment the error is stored in an internal MoL array ErrorEstimate; there is one per evolved variable. At a later point this may be moved out to user thorns who can register their own etc.
As the implementation uses 6 evaluations of the RHS (necessary) and 6 levels of scratch space (one more than necessary - laziness kicked in) then this is very expensive.
This is a partial fix for PR/1840.
git-svn-id: http://svn.cactuscode.org/arrangements/CactusNumerical/MoL/trunk@74 578cdeb0-5ea1-4b81-8215-5a3b8777ee0b
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