Local-error estimation in Adams codes
Technical Report
·
OSTI ID:6898376
Modern codes for the solution of the initial value problem for a system of ordinary differential equations estimate the error made at each step. This local-error estimate is fundamental because it is used to decide whether to accept or reject the step and to adjust the step size to obtain the desired accuracy efficiency. Codes based on the Adams family of formulas are studied in this paper. These very popular codes also vary the formula (the order) from step to step. To do this they must estimate what the local error would have been had the step been carried out with any one of several other formulas (orders).
- Research Organization:
- Sandia National Labs., Albuquerque, NM (USA)
- DOE Contract Number:
- AC04-76DP00789
- OSTI ID:
- 6898376
- Report Number(s):
- SAND-82-2998; ON: DE83004253
- Country of Publication:
- United States
- Language:
- English
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