Multiplier and contractivity methods for linear multistep methods

DOI10.1016/0168-9274(89)90026-3zbMath0671.65059OpenAlexW2074018912MaRDI QIDQ1119352

Olavi Nevanlinna, Farouk Odeh, Werner Liniger

Publication date: 1989

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0168-9274(89)90026-3

zbMATH Keywords

stabilityvariable time stepsglobal iteration schemeslinear multistep and one-leg methodsLjapunov-like methodsstiff nonlinear differential equations

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)

Cites Work

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• Contractive methods for stiff differential equations part I
• Contractive methods for stiff differential equations Part II
• A-stable, Accurate Averaging of Multistep Methods for Stiff Differential Equations
• Implicit Runge-Kutta Processes
• A special stability problem for linear multistep methods

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