Evaluation of implicit formulas for the solution of ODEs
โ Scribed by L. F. Shampine
- Book ID
- 105402485
- Publisher
- Springer Netherlands
- Year
- 1979
- Tongue
- English
- Weight
- 522 KB
- Volume
- 19
- Category
- Article
- ISSN
- 0006-3835
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
This paper adapts the general class of formulas, collectively known as the block predictor-corrector (BPC) formula to variable stepsize. These formulas are used to solve initial value problems in ordinary differential equations (ODE's) in parallel. The predictor formula within the BPC method contain
The use of implicit methods for ODEs, e.g. implicit Runge-Kutta schemes, requires the solution of nonlinear systems of algebraic equations of dimension s โข m, where m is the size of the continuous differential problem to be approximated. Usually, the solution of this system represents the most time-