Alternative stepsize strategies for Adams predictor-corrector codes

DOI10.1016/S0377-0427(99)00313-1zbMath0980.65078MaRDI QIDQ1975675

Anila Usman, George Hall

Publication date: 10 March 2002

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

zbMATH Keywords

stabilitynumerical examplesstepsize controlmultistep predictor-corrector codes

Mathematics Subject Classification ID

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) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50)

Related Items (4)

A fully spectral methodology for magnetohydrodynamic calculations in a whole sphere ⋮ An adaptive step size controller for iterative implicit methods ⋮ A new variable step size algorithm for Cauchy problem ⋮ Modified order and stepsize strategies in Adams codes

Cites Work

• Unnamed Item
• A PI stepsize control for the numerical solution of ordinary differential equations
• Equilibrium states for predictor-corrector methods
• A new stepsize strategy for explicit Runge-Kutta codes
• Equilibrium states of Runge Kutta schemes
• Control theoretic techniques for stepsize selection in explicit Runge-Kutta methods

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