Reversible adaptive regularization: perturbed Kepler motion and classical atomic trajectories

DOI10.1098/rsta.1999.0366zbMath0933.65144OpenAlexW2060690471MaRDI QIDQ4266979

Benedict J. Leimkuhler

Publication date: 20 March 2000

Published in: Philosophical Transactions of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rsta.1999.0366

zbMATH Keywords

stabilitynumerical experimentsHamiltonian systems\(N\)-body problemslong-time integrationatomic systemsKepler motionKustaanheimo-Stiefel regularizationtime-reversible variable stepsizesSundman transformations

Mathematics Subject Classification ID

Hamilton's equations (70H05) (n)-body problems (70F10) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15) Collisions in celestial mechanics, regularization (70F16)

Related Items

The geometric integration of scale-invariant ordinary and partial differential equations, Performance of variable step size methods for solving model separable Hamiltonian systems, An orbit-preserving discretization of the classical Kepler problem, A technique to construct symmetric variable-stepsize linear multistep methods for second-order systems, Scaling invariance and adaptivity, Explicit variable step-size and time-reversible integration, Implicit one-step dynamic algorithms with configuration-dependent parameters: application to central force fields, Variable step implementation of geometric integrators, Reversible adaptive regularization methods for atomic \(N\)-body problems in applied fields, Symplectic local time-stepping in non-dissipative DGTD methods applied to wave propagation problems, An efficient multiple time-scale reversible integrator for the gravitational \(N\)-body problem