A Time-Reversible, Regularized, Switching Integrator for the N-Body Problem

DOI10.1137/S1064827599355566zbMath0993.70003OpenAlexW2007542753MaRDI QIDQ4509869

Anne Kværnø, Benedict J. Leimkuhler

Publication date: 19 October 2000

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s1064827599355566

zbMATH Keywords

Hamiltonian systemslong-range forcestime-reversible discretizationclose approaching bodiesgravitational \(N\)-body integration algorithmhigh-order Gauss methodregularized nonlinear equationssmooth switching technique

Mathematics Subject Classification ID

Computational methods for problems pertaining to mechanics of particles and systems (70-08) Numerical methods for initial value problems involving ordinary differential equations (65L05) (n)-body problems (70F10)

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A regular fast multipole method for geometric numerical integrations of Hamiltonian systems ⋮ Tensor-product adaptive grids based on coordinate transformations. ⋮ Geometric integrators for piecewise smooth Hamiltonian systems ⋮ An efficient multiple time-scale reversible integrator for the gravitational \(N\)-body problem

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