A parallel DIRK method for stiff initial-value problems

DOI10.1016/0377-0427(94)90399-9zbMath0819.65109OpenAlexW2031355757MaRDI QIDQ1347174

Nguyen Huu Cong

Publication date: 2 April 1995

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)90399-9

zbMATH Keywords

comparison of methodsnumerical experimentsparallel computationpredictor-corrector methodsfast parallel iteration processlow-order implicit Runge-Kutta methodparallel singly diagonally implicity Runge-Kutta method

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

A fast convergence parallel DIRKN method and its applications to PDEs, Two three-parallel and three-processor SDIRK methods for stiff initial-value problems, A parallel diagonally iterated RK method for convection-diffusion and stiff problems, A semi-implicit numerical scheme for reacting flow. II: Stiff, operator-split formulation, Mono-implicit Runge-Kutta schemes for the parallel solution of initial value ODEs

Uses Software

• RODAS

Cites Work

• Unnamed Item
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• Iterated Runge–Kutta Methods on Parallel Computers
• Semiexplicit A-Stable Runge-Kutta Methods
• On the Stability and Accuracy of One-Step Methods for Solving Stiff Systems of Ordinary Differential Equations
• The Potential for Parallelism in Runge–Kutta Methods. Part 1: RK Formulas in Standard Form
• Solving Ordinary Differential Equations II