Parallel iteration across the steps of high-order Runge-Kutta methods for nonstiff initial value problems

DOI10.1016/0377-0427(94)00047-5zbMath0837.65077OpenAlexW2144515914MaRDI QIDQ1903642

W. A. van der Veen, B. P. Sommeijer, P. J. van der Houwen

Publication date: 21 May 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(94)00047-5

zbMATH Keywords

numerical exampleparallel computationRunge-Kutta methodnonstiff initial value problemspredictor-corrector iteration

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 (5)

Convergence aspects of step-parallel iteration of Runge-Kutta methods ⋮ Parallel iteration schemes for implicit ODEIVP methods ⋮ Parallel implementation of block boundary value methods for ODEs ⋮ Parallel exponential Rosenbrock methods ⋮ CWI contributions to the development of parallel Runge-Kutta methods

Cites Work

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• Parallel methods for integrating ordinary differential equations
• On the Convergence of Numerical Solutions to Ordinary Differential Equations
• Parallel Methods for the Numerical Integration of Ordinary Differential Equations

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