The starting procedure in variable-stepsize variable-order PECE codes

DOI10.1016/0377-0427(92)00121-OzbMath0817.65062MaRDI QIDQ1343649

Wen Zhang

Publication date: 23 January 1995

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

systemsinitial value problemserror propagationtest examplesPECE variable stepsize variable order difference formulasstarting procedure

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

Related Items (1)

PECE

Cites Work

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• Starting step size for an ODE solver
• Control of step size and order in extrapolation codes
• Automatic selection of the initial step size for an ODE solver
• Starting BDF and Adams codes at optimal order
• The Convergence of Variable-Stepsize, Variable-Formula, Multistep Methods
• Rate of Convergence of Multistep Codes Started by Variation of Order and Stepsize
• The Effect of Variable Mesh Size on the Stability of Multistep Methods
• Stability and Convergence of Variable Order Multistep Methods
• Optimal Order and Stepsize Sequences
• The automatic integration of ordinary differential equations
• Comparing Numerical Methods for Ordinary Differential Equations

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