Formulas for modular integration of systems of ode's
β Scribed by J.F. Andrus
- Publisher
- Elsevier Science
- Year
- 1991
- Tongue
- English
- Weight
- 409 KB
- Volume
- 21
- Category
- Article
- ISSN
- 0898-1221
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β¦ Synopsis
Formulas are prese~ated for modular integration of systems of first or second-order ordinary differential equations which have been separated into subsystems. Using these formulas, each subsystem (or module) may be integrated essentially independently using an appropriate processor or specialized integration technique. Included is a ~neral mathematical procedure for devising formulas for modular integration, depending on the order of accuracy required and other considerations.
π 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
We discuss the existence of positive solutions of the system where the nonlinearities f and g satisfy a superlinearity condition at both 0 and β. Our main result is the proof of a priori bounds for the eventual solutions. As an application, we consider the Dirichlet problem in an annulus for system