A new approach to the construction of multirevolution methods and their implementation

DOI10.1016/S0168-9274(96)00055-4zbMath0873.65066MaRDI QIDQ678893

Begoña Melendo, Manuel Palacios

Publication date: 30 October 1997

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

zbMATH Keywords

comparison of methodsperiodic solutionsperturbed systemshighly oscillatoryartificial Earth's satellitemultirevolution methodsnearly periodic functions

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05) Singular perturbations for ordinary differential equations (34E15)

Related Items

A Uniformly Accurate Scheme for the Numerical Integration of Penalized Langevin Dynamics ⋮ On explicit multi-revolution Runge-Kutta schemes ⋮ Characterizations and construction of Poisson/symplectic and symmetric multi-revolution implicit Runge-Kutta methods of high order ⋮ Multirevolution Integrators for Differential Equations with Fast Stochastic Oscillations ⋮ Multi-revolution composition methods for highly oscillatory differential equations

Uses Software

• Mathematica

Cites Work

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• On ODE-solver based on the method of averaging
• A new numerical method for the integration of highly oscillatory second-order ordinary differential equations
• Stabilization of Cowell's method
• Solving Ordinary Differential Equations I
• An Efficient Numerical Method for Highly Oscillatory Ordinary Differential Equations
• Modified multirevolution integration methods for satellite orbit computation
• An Averaging Method for the Stiff Highly Oscillatory Problem

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