Stability concepts in the numerical solution of difference and differential equations

DOI10.1016/0898-1221(94)00092-1zbMath0809.65079OpenAlexW1993230404MaRDI QIDQ1334561

Jeff R. Cash

Publication date: 21 September 1994

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0898-1221(94)00092-1

zbMATH Keywords

algorithmsstabilitydifference equationsinitial value problemRunge-Kutta methodslinear multistep methodsfirst-order differential systemlinear second-order recurrence relationsnondominant solutions

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Linear ordinary differential equations and systems (34A30) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Additive difference equations (39A10) Finite difference and finite volume methods for ordinary differential equations (65L12)

Related Items

Modified extended backward differentiation formulae for the numerical solution of stiff initial value problems in ODEs and DAEs

Uses Software

• MEBDF
• RODAS

Cites Work

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• A Note on a Class of Modified Backward Differentiation Schemes
• A modified Adams method for nonstiff and mildly stiff initial value problems
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• Computational Aspects of Three-Term Recurrence Relations
• Numerical solution of second-order linear difference equations
• A special stability problem for linear multistep methods