A note on step-size selection in the Störmer-Cowell methods

DOI10.1016/j.cam.2004.06.011zbMath1063.65071OpenAlexW2059024478MaRDI QIDQ1765431

Higinio Ramos, Jesus Vigo Aguiar

Publication date: 23 February 2005

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

Full work available at URL: https://doi.org/10.1016/j.cam.2004.06.011

zbMATH Keywords

Numerical examplesVariable-step methodStep-size selectionStörmer-Cowell methods

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

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The new class of multistep multiderivative hybrid methods for the numerical solution of chemical stiff systems of first order IVPs ⋮ New optimized two-derivative Runge-Kutta type methods for solving the radial Schrödinger equation

Cites Work

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• Variable stepsize Störmer-Cowell methods
• Variable stepsize in Cowell's method
• Experiments in stepsize control for Adams linear multistep methods
• A note on the step size selection in Adams multistep methods

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