PRACTICAL RUNGE–KUTTA METHODS FOR SCIENTIFIC COMPUTATION

DOI10.1017/S1446181109000030zbMath1178.65083OpenAlexW1979256100MaRDI QIDQ3647123

John C. Butcher

Publication date: 30 November 2009

Published in: The ANZIAM Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s1446181109000030

zbMATH Keywords

A-stabilitymethod of linesimplicit Euler methodLaguerre polynomialsL-stabilitystiff problemsimplicit Runge-Kutta methodsGauss-Legendre quadratureDIRK methodsSIRK methods

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

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Cites Work

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• ESIRK methods and variable stepsize
• Solving Ordinary Differential Equations I
• Diagonally Implicit Runge–Kutta Methods for Stiff O.D.E.’s
• Solving Ordinary Differential Equations II