On the convergence of multistep methods for the Cauchy problem for ordinary differential equations

DOI10.1007/BF02252383zbMath0398.65039OpenAlexW189281720MaRDI QIDQ1254091

Marian Kwapisz, Zdzisław Jackiewicz

Publication date: 1978

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02252383

zbMATH Keywords

Cauchy ProblemOrdinary Differential EquationsConvergence TheoremK-Step Method

Mathematics Subject Classification ID

Theoretical approximation of solutions to ordinary differential equations (34A45) Numerical methods for initial value problems involving ordinary differential equations (65L05) Numerical analysis in abstract spaces (65J99)

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Cites Work

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• Single step methods for linear differential equations
• One-step methods for ordinary differential equations
• A generalisation of multistep methods for ordinary differential equations
• The Effect of Variable Mesh Size on the Stability of Multistep Methods
• Analysis of Fixed-Stepsize Methods
• A General Theory of Convergence for Numerical Methods
• On the structure of error estimates for finite-difference methods

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