What everyone solving differential equations numerically should know
This report tries to give the user of codes for solving ordinary differential equations some feeling as to what goes on in these ''black boxes.'' The codes do not even try to do what the layman expects. What they do attempt and the implications of the difference are explained with examples. Furthermore, the computational problem is not the same as the mathematical problem. Not understanding the distinction can seriously affect the results. The way codes try to solve equations is outlined in very general terms. Examples are given which illustrate that not all codes are equally effective in their handling of the art of computation and that caution is necessary when interpreting the results of even the best codes. 4 tables.
- Research Organization:
- Sandia Labs., Albuquerque, NM (USA)
- DOE Contract Number:
- EY-76-C-04-0789
- OSTI ID:
- 6159201
- Report Number(s):
- SAND-78-0315
- Country of Publication:
- United States
- Language:
- English
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