Detecting stiffness with the Fehlberg (4,5) formulas
Technical Report
·
OSTI ID:7335092
The Fehlberg (4,5) formulas appear to be the most effective Runge-Kutta formulas of moderate order for the solution of non-stiff ordinary differential equations. A simple, cheap scheme is developed for codes based on these formulas which detects stiffness with considerable reliability. If a user accidentally or unknowingly tries to integrate a stiff problem, a code with this scheme can warn him that it will be extremely inefficient and that he should switch to a code aimed specifically at such problems.
- Research Organization:
- Sandia Labs., Albuquerque, N.Mex. (USA)
- DOE Contract Number:
- E(29-1)-789
- OSTI ID:
- 7335092
- Report Number(s):
- SAND-76-0392
- Country of Publication:
- United States
- Language:
- English
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