Last Update: 2013-06-28 (Fri) Tomonori Kouya
Brief explanation on BIRK
BIRK is a software library in order to obtain more and more precise solution of initial value problems of ordinary differential equations. It is construted on the strong backbone; the theory of implicit Runge-Kutta methods, and is supported with BNCpack, double and multiple precision numerical computation library with help of MPFR/GMP.
How to compile and run BIRK
- (Prerequisite) It is necessary to prepare the following libraries before compiling BIRK
- You unzip BIRK Source(version 0.01) in your home directory, and then edit some lines in Makefile to fit your environment.
- Run "make", and then you can execute some test_irk_jay_* for some test problems in "problems" directory.
References
- [arXiv] T.Kouya, "Practical Implementation of High-Order Multiple Precision Fully Implicit Runge-Kutta Methods with Step Size Control Using Embedded Formula", IJNMA, Vol.9, Issue 2, 2013.
- Implicit Runge-Kutta Method by Wikipedia
- RADAU5 by E.Hairer
- SPARK3 by L.O.Jay
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Tomonori Kouya (c) 2013
tkouya (AT mark) cs.sist.ac.jp