Parallel predictor-corrector methods

DOI10.1016/0377-0427(95)00158-1zbMath0860.65065OpenAlexW2158468349MaRDI QIDQ1919057

B. P. Sommeijer, P. J. van der Houwen, Jacques J. B. de Swart

Publication date: 13 October 1996

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0377-0427(95)00158-1

zbMATH Keywords

parallel computationpredictor-corrector methodsblock Runge-Kutta methods

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) 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

Efficient parallel predictor-corrector methods, \(A\)-stable parallel block methods for ordinary and integro-differential equations, Stability of parallel Volterra-Runge-Kutta methods, CWI contributions to the development of parallel Runge-Kutta methods, Recent advances in linear analysis of convergence for splittings for solving ODE problems, Parallel Adams methods

Uses Software

• RODAS

Cites Work

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• High order embedded Runge-Kutta formulae
• Parallel iteration of high-order Runge-Kutta methods with stepsize control
• Parallel Solution of ODE’<scp>s</scp> by Multiblock Methods
• Block Runge-Kutta Methods on Parallel Computers
• The Potential for Parallelism in Runge–Kutta Methods. Part 1: RK Formulas in Standard Form
• Solving Ordinary Differential Equations II