The search for the Holy Grail, or: Predictor-corrector methods for solving ODEIVPs

DOI10.1016/0168-9274(93)90044-RzbMath0787.65048OpenAlexW1992604195MaRDI QIDQ686548

Kevin Burrage

Publication date: 10 October 1993

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0168-9274(93)90044-r

zbMATH Keywords

stabilitypredictor-corrector methodsparallel implementationRunge- Kutta methods

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Stability and convergence of numerical methods for ordinary differential equations (65L20) Parallel numerical computation (65Y05) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

Related Items

Preconditioning in parallel Runge-Kutta methods for stiff initial value problems, Parallelism across the steps in iterated Runge-Kutta methods for stiff initial value problems, Preconditioning in implicit initial-value problem methods on parallel computers, Parallel iteration across the steps of high-order Runge-Kutta methods for nonstiff initial value problems, Parallel iteration schemes for implicit ODEIVP methods, EFFICIENT PARALLEL METHODS FOR SPECIAL SECOND ORDER ORDINARY DIFFERENTIAL EQUATIONS, Parallel methods for initial value problems, CWI contributions to the development of parallel Runge-Kutta methods, An analysis of the order of Runge-Kutta methods that use an iterative scheme to compute their internal stage values, Parallel block predictor-corrector methods of Runge-Kutta type

Cites Work

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