Reversible adaptive regularization methods for atomic \(N\)-body problems in applied fields

DOI10.1016/S0168-9274(98)00069-5zbMath0944.70004OpenAlexW2056526119MaRDI QIDQ1294542

Benedict J. Leimkuhler

Publication date: 29 June 1999

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

Full work available at URL: https://doi.org/10.1016/s0168-9274(98)00069-5

zbMATH Keywords

atomic \(N\)-body problemclassical atomic trajectorieshydrogen atom in parallel fieldsperturbed Kepler motionreversible regularization method

Mathematics Subject Classification ID

Computational methods for problems pertaining to mechanics of particles and systems (70-08) Computational methods for problems pertaining to quantum theory (81-08) Atomic physics (81V45) (n)-body problems (70F10)

Cites Work

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• On the Hamiltonian interpolation of near-to-the-identity symplectic mappings with application to symplectic integration algorithms
• Generalizing a study of a rotating rod carrying a collar
• The Adaptive Verlet Method
• A global regularisation of the gravitationalN-body problem
• Reversible adaptive regularization: perturbed Kepler motion and classical atomic trajectories
• Backward Error Analysis for Numerical Integrators
• Perturbation theory of Kepler motion based on spinor regularization.

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