Variable step implementation of geometric integrators

DOI10.1016/S0168-9274(98)00035-XzbMath0930.65136OpenAlexW2086826476MaRDI QIDQ1294498

M. A. López-Marcos, M. P. Calvo, Jesús María Sanz-Serna

Publication date: 1 February 2000

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

Full work available at URL: https://doi.org/10.1016/s0168-9274(98)00035-x

zbMATH Keywords

periodic orbitssymplectic integratorsVerlet methodHamiltonian problemsKepler's problemvariable stepsizesPoincaré transformationsreversible methods

Mathematics Subject Classification ID

Hamilton's equations (70H05) Dynamical systems in classical and celestial mechanics (37N05) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15)

Related Items

Majorant series for theN-body problem ⋮ Explicit adaptive symplectic integrators for solving Hamiltonian systems ⋮ Starting algorithms for Gauss Runge-Kutta methods for Hamiltonian systems. ⋮ Performance of Gauss implicit Runge-Kutta methods on separable Hamiltonian systems. ⋮ Performance of variable step size methods for solving model separable Hamiltonian systems ⋮ Analysis of variable-stepsize linear multistep methods with special emphasis on symmetric ones ⋮ A technique to construct symmetric variable-stepsize linear multistep methods for second-order systems ⋮ Explicit variable step-size and time-reversible integration

Uses Software

• mctoolbox

Cites Work

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