On the numerical integration of oscillatory problems with multistep codes

DOI10.1016/S0096-3003(03)00650-7zbMath1048.65072OpenAlexW2050498022MaRDI QIDQ1826993

Amelia García, Pablo Martín, David J. López

Publication date: 6 August 2004

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

Full work available at URL: https://doi.org/10.1016/s0096-3003(03)00650-7

zbMATH Keywords

AlgorithmsMultistep methodsStörmer methodOscillatory problemsComparison of methods: Numerical examples

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

Cites Work

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• Increased accuracy of computations in the main satellite problem through linearization methods
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• Families of backward differentiation methods based on a new type of mixed interpolation
• Generalization of the Störmer method for perturbed oscillators without explicit first derivatives
• Numerical integration of products of Fourier and ordinary polynomials
• Stabilization of Cowell's method
• Multistep Numerical Methods Based on the Scheifele G-Functions with Application to Satellite Dynamics
• A General Procedure For the Adaptation of Multistep Algorithms to the Integration of Oscillatory Problems
• Stabilization of finite difference methods of numerical integration

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