Accurate long-term integration of dynamical systems

DOI10.1016/0168-9274(95)00046-WzbMath0837.65071OpenAlexW2010715349MaRDI QIDQ1902066

M. P. Calvo, Ernst Hairer

Publication date: 21 May 1996

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

Full work available at URL: https://doi.org/10.1016/0168-9274(95)00046-w

zbMATH Keywords

dynamical systemsperiodic solutionreversible systemsintegrable systemsvariable stepsizesymplectic methodsHamiltonian problemslong-term integrationerror growthsymmetric Runge-Kutta methodssymmetric collocation methods

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Numerical methods for initial value problems involving ordinary differential equations (65L05) Error bounds for numerical methods for ordinary differential equations (65L70) Dynamical systems and ergodic theory (37-XX)

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Cites Work

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• An unconventional symplectic integrator of W. Kahan
• Variable steps for reversible integration methods
• The Development of Variable-Step Symplectic Integrators, with Application to the Two-Body Problem
• Stable and Random Motions in Dynamical Systems
• Runge-kutta methods for hamiltonian systems in non-standard symplectic two-form
• On the Scope of the Method of Modified Equations
• Comparing Numerical Methods for Ordinary Differential Equations

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