Variable stepsize Störmer-Cowell methods

DOI10.1016/j.mcm.2005.09.011zbMath1092.65060OpenAlexW2024765018MaRDI QIDQ815414

Higinio Ramos, Jesus Vigo Aguiar

Publication date: 16 February 2006

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mcm.2005.09.011

zbMATH Keywords

initial value problemssecond-order differential equationspredictor-corrector methodsmultistep methodsvariable step sizeCowell methodStörmer method

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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Cites Work

• Experiments in stepsize control for Adams linear multistep methods
• A P-stable singly diagonally implicit Runge-Kutta-Nyström method
• Variable-order, variable-step methods for second-order initial-value problems
• A generalization to variable stepsizes of Störmer methods for second-order differential equations
• Stabilization of Cowell's method
• Efficient Numerical Solution of Orbital Problems with the use of Symmetric Four-step Trigonometrically-fitted Methods
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