Variable order Runge--Kutta codes
Technical Report
·
OSTI ID:6380472
The most popular methods for the solution of a non-stiff, but otherwise general, initial-value problem for an ordinary differential equation are the Adams, Runge--Kutta, and extrapolation methods (A, R-K, and E, respectively). If one could select at each step the best fixed-order R-K code for the step, the resulting algorithm would compete with A codes in derivative evaluations and present important advantages. Four codes based on different approaches have been written and studied. The RKSW code is rather successful. The earlier RKSG code is also described in some detail. Contrasting the ways these two codes handle a given task illuminates the construction of R-K codes which vary their order and the construction of mathematical software from a collection of goals and algorithmic ideas. (RWR)
- Research Organization:
- Sandia Labs., Albuquerque, NM (USA)
- DOE Contract Number:
- EY-76-C-04-0789
- OSTI ID:
- 6380472
- Report Number(s):
- SAND-78-1652
- Country of Publication:
- United States
- Language:
- English
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