A composite integration scheme for the numerical solution of systems of ordinary differential equations

DOI10.1016/0377-0427(89)90070-8zbMath0664.65072OpenAlexW2049732089MaRDI QIDQ1115117

S. H. Smith

Publication date: 1989

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(89)90070-8

zbMATH Keywords

L-stabilitylocal truncation errorNumerical examplescomposite methoddiagonally-implicit, three-stage Runge- Kutta schemesecond-order, L-stable composite multistep method

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)

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Cites Work

• Implicit schemes for differential equations
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• Numerical small parameter method fo stiff ODE's
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• Linearly Implicit Variable Coefficient Methods of Lambert—Sigurdsson Type
• Implementation of Rosenbrock Methods
• Mono-implicit Runge—Kutta Formulae for the Numerical Integration of Stiff Differential Systems
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• Comparing numerical methods for stiff systems of O.D.E:s
• Generalized Runge-Kutta Processes for Stiff Initial-value Problems†
• A Polyalgorithm for the Numerical Solution of Ordinary Differential Equations
• A-stable, Accurate Averaging of Multistep Methods for Stiff Differential Equations
• PECE Algorithms for the Solution of Stiff Systems of Ordinary Differential Equations

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