Exactly Conservative Integrators

DOI10.1137/S0036139995289313zbMath0946.65130arXivchao-dyn/9507012OpenAlexW2032299046MaRDI QIDQ4258445

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Publication date: 13 September 1999

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/chao-dyn/9507012

zbMATH Keywords

algorithmsHamiltonianKepler problempredictor-corrector schemeconservative systemsEuler schemesymplecticLotka-Volterra predator-prey modelnonlinear invariantsthree-waves problem

Mathematics Subject Classification ID

Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems (37C15) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15)

Related Items (8)

An exact energy conservation property of the quantum lattice Boltzmann algorithm ⋮ Invariantization of numerical schemes using moving frames ⋮ Volume-preserving maps with an invariant ⋮ A new conservative numerical integration algorithm for the three-dimensional Kepler motion based on the Kustaanheimo-Stiefel regularization theory ⋮ A survey of shadowing methods for numerical solutions of ordinary differential equations ⋮ From chaos of lines to Lagrangian structures in flux conservative fields ⋮ Links between dissipation, intermittency, and helicity in the GOY model revisited ⋮ Explicit exactly energy-conserving methods for Hamiltonian systems

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