Implicitly defined output points for solutions of ODEs
Technical Report
·
OSTI ID:5571614
The solution of the initial-value problem for a system of ordinary differential equations (ODEs) is a very common task for which there exists a variety of high-quality mathematical software. Such a problem may be accompanied by a set of constraint functions. The task is then to locate the first x for which some constraint function has a root, and to produce solution values there. This task can arise from the desire for a table of the solution with increments taken in one of the dependent variables. There has been relatively little attention given to the task considered. This report briefly surveys the work that has been done. The difficulty of the task has been grossly underestimated. There are also some significant software difficulties that are not generally appreciated. These matters are addressed, and some solutions of varying degrees of generality are proposed. A new method for handling interpolation in a Runge-Kutta code like the popular RKF45 is made. Modifications were made to RKF45, and a few results with this code are reported. (RWR)
- Research Organization:
- Sandia Labs., Albuquerque, NM (USA)
- DOE Contract Number:
- EY-76-C-04-0789
- OSTI ID:
- 5571614
- Report Number(s):
- SAND-80-0180
- Country of Publication:
- United States
- Language:
- English
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