High order formulas with second derivatives for the numerical integration of stiff ordinary differential equations

DOI10.1080/00207169008803866zbMath0704.65059OpenAlexW2092380228MaRDI QIDQ3484288

P. C. Chakravarti, Mohamed S. Kamel

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1080/00207169008803866

zbMATH Keywords

stabilitystiff differential equationssecond derivative multistep formulasstiff stability parameter

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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• Stiffly stable second derivative multistep methods with higher order and improved stability regions
• A note on unconditional fixed-h stability of linear multistep formulae
• Order stars and stability theorems
• Some Characteristics of Implicit Multistep Multi-Derivative Integration Formulas
• Stiffly Stable Linear Multistep Methods of Extended Order
• An algebraic test forA 0-stability
• A note on unconditionally stable linear multistep methods
• High order a-stable methods for the numerical solution of systems of D.E.'s
• A Graphical Search for Stiffly Stable Methods for Ordinary Differential Equations
• Second Derivative Multistep Methods for Stiff Ordinary Differential Equations
• A special stability problem for linear multistep methods

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