Auxiliary linear multistep methods: implicit

DOI10.1080/00207168908803793zbMath0749.65049OpenAlexW4230605333MaRDI QIDQ4009706

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Publication date: 27 September 1992

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207168908803793

zbMATH Keywords

absolute stabilitynumerical experimentsaccuracyordermultistep methodszero-stabilitynumerical algorithms2-step Butcher's hybrid method4-step Adams predictor-corrector methodimplicit 2-step 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)

Cites Work

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• Numerical solution of ordinary differential equations
• Auxiliary linear multistep methods: explicit
• A Modified Multistep Method for the Numerical Integration of Ordinary Differential Equations
• Generalized Multistep Predictor-Corrector Methods
• A Multistep Generalization of Runge-Kutta Methods With Four or Five Stages
• Multistep Methods With Modified Predictors and Correctors
• Solution of Ordinary Differential Equations Using Two ``Off-Step Points