Parallel iterative linear solvers for multistep Runge-Kutta methods

DOI10.1016/S0377-0427(97)00135-0zbMath0890.65079OpenAlexW2106819212MaRDI QIDQ1372722

W. A. van der Veen, Jacques J. B. de Swart, Eleonora Messina

Publication date: 14 December 1997

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

Full work available at URL: https://doi.org/10.1016/s0377-0427(97)00135-0

zbMATH Keywords

parallel computationNewton iterationstiff equationsimplicit multistep Runge-Kutta methods

Mathematics Subject Classification ID

Computational methods for sparse matrices (65F50) 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) Direct numerical methods for linear systems and matrix inversion (65F05) Multiple scale methods for ordinary differential equations (34E13)

Related Items (2)

The solution of implicit differential equations on parallel computers ⋮ Parallel Adams methods

Uses Software

• Maple
• VODE
• DASSL
• RODAS

Cites Work

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• Matrix valued versions of a result of von Neumann with an application to time discretization
• Parallel linear system solvers for Runge-Kutta methods
• Parallel linear system solvers for Runge-Kutta-Nyström methods
• Experiences with sparse matrix solvers in parallel ODE software
• Triangularly Implicit Iteration Methods for ODE-IVP Solvers
• Solving Ordinary Differential Equations I
• Superconvergence for Multistep Collocation
• On the implementation of implicit Runge-Kutta methods

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