Some new additive Runge-Kutta methods and their applications

DOI10.1016/j.cam.2005.02.020zbMath1089.65066OpenAlexW1997148881MaRDI QIDQ818241

Hongyu Liu, Jun Zou

Publication date: 24 March 2006

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

Full work available at URL: https://doi.org/10.1016/j.cam.2005.02.020

zbMATH Keywords

A-stabilitynonlinear ordinary differential equationsstiffly accurateadditive Runge-Kutta method

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Initial value problems for nonlinear higher-order PDEs (35G25) Finite difference methods for boundary value problems involving PDEs (65N06) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

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Uses Software

• RODAS

Cites Work

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• Additive semi-implicit Runge-Kutta methods for computing high-speed nonequilibrium reactive flows
• Additive Runge-Kutta Methods for Stiff Ordinary Differential Equations
• Additive Methods for the Numerical Solution of Ordinary Differential Equations
• Semiexplicit A-Stable Runge-Kutta Methods
• On the Stability and Accuracy of One-Step Methods for Solving Stiff Systems of Ordinary Differential Equations
• Structure Preservation for Constrained Dynamics with Super Partitioned Additive Runge--Kutta Methods
• Symplectic Methods Based on Decompositions

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