A note on unconditional fixed-h stability of linear multistep formulae

DOI10.1007/BF02242351zbMath0221.65124OpenAlexW1561085290MaRDI QIDQ2547463

Werner Liniger, Farouk Odeh

Publication date: 1971

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02242351

Mathematics Subject Classification ID

Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Numerical investigation of stability of solutions to ordinary differential equations (65L07) Differentials on Riemann surfaces (30F30)

Related Items (8)

On computing smooth solutions of problems with large Lipschitz constants ⋮ High order formulas with second derivatives for the numerical integration of stiff ordinary differential equations ⋮ Unnamed Item ⋮ Discovery of Dynamics Using Linear Multistep Methods ⋮ Mehrschrittverfahren zur numerischen Integration von Differentialgleichungssystemen mit stark verschiedenen Zeitkonstanten ⋮ Nonlinear fixed-h stability of linear multistep formulas ⋮ Über \(A(\alpha)\)-stabile Verfahren hoher Konsistenzordnung ⋮ Exponential Fitting of Matricial Multistep Methods for Ordinary Differential Equations

Cites Work

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• A criterion for A-stability of linear multistep integration formulae
• Nonlinear mappings of analytic type in Banach spaces
• Mappings of manifolds and the notion of degree
• Compact analytic mappings of B‐spaces and a theorem of Jane Cronin
• A note on unconditionally stable linear multistep methods
• A criterion forA(α)-stability of linear multistep methods
• Modified linear multistep methods for a class of stiff ordinary differential equations
• A special stability problem for linear multistep methods
• Integration of Stiff Equations

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