Approximate compositions of a near identity map by multi-revolution Runge-Kutta methods

DOI10.1007/s00211-004-0518-9zbMath1067.65067OpenAlexW2063925453MaRDI QIDQ1889897

Laurent O. Jay, Luis Rández, Juan I. Montijano, Manuel Calvo

Publication date: 13 December 2004

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00211-004-0518-9

zbMATH Keywords

periodic orbitsRunge-Kutta methodsymplectic structureslong-term integrationmulti-revolution 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) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15)

Related Items (8)

A Uniformly Accurate Scheme for the Numerical Integration of Penalized Langevin Dynamics ⋮ A Stroboscopic Numerical Method for Highly Oscillatory Problems ⋮ On explicit multi-revolution Runge-Kutta schemes ⋮ On the effectiveness of spectral methods for the numerical solution of multi-frequency highly oscillatory Hamiltonian problems ⋮ Characterizations and construction of Poisson/symplectic and symmetric multi-revolution implicit Runge-Kutta methods of high order ⋮ Numerical stroboscopic averaging for ODEs and DAEs ⋮ Multirevolution Integrators for Differential Equations with Fast Stochastic Oscillations ⋮ Multi-revolution composition methods for highly oscillatory differential equations

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