Variable step stiffly stable methods

DOI10.1080/00207169808804637zbMath0892.65045OpenAlexW2079914576MaRDI QIDQ4380277

Gamal A. F. Ismail, Iman H. Ibrahim

Publication date: 9 August 1998

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

Full work available at URL: https://doi.org/10.1080/00207169808804637

zbMATH Keywords

stabilitystiff systemsimplicit variable step linear multistep 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) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50) Multiple scale methods for ordinary differential equations (34E13)

Related Items (1)

Stability of nonequidistant variable order multistep methods for stiff systems

Cites Work

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• On the stability definition of difference approximations for the initial boundary value problem
• A criterion for A-stability of linear multistep integration formulae
• The Convergence of Variable-Stepsize, Variable-Formula, Multistep Methods
• The Effect of Variable Mesh Size on the Stability of Multistep Methods
• Stiff Stability and Its Relation to $A_0 $- and $A(0)$-Stability
• Stability of Runge–Kutta Methods for Stiff Ordinary Differential Equations
• Algorithms for Classical Stability Problems

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