Energy corrections in Hamiltonian dynamics simulations

DOI10.1016/S0010-4655(96)00112-9zbMath0953.70500OpenAlexW1971010540MaRDI QIDQ1295806

Fei Zhang

Publication date: 2 May 2000

Published in: Computer Physics Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0010-4655(96)00112-9

zbMATH Keywords

chaotic dynamicsenergy conservationsymplectic integratorsRunge-Kutta schemesnonlinear oscillatorHénon-Heiles modeltrajectory accuracy

Mathematics Subject Classification ID

Computational methods for problems pertaining to mechanics of particles and systems (70-08) Hamilton's equations (70H05)

Related Items (3)

Discrete gradient algorithms of high order for one-dimensional systems ⋮ On stabilization of energy for Hamiltonian systems ⋮ POST-STABILIZATION OF INVARIANTS AND APPLICATION TO NUMERICAL ANALYSIS OF CHAOS FOR SOME 3-DIMENSIONAL SYSTEMS

Cites Work

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• Recent progress in the theory and application of symplectic integrators
• Analysis of four numerical schemes for a nonlinear Klein-Gordon equation
• A symplectic integration algorithm for separable Hamiltonian functions
• Sixth-order Lie group integrators
• Formal energy of a symplectic scheme for Hamiltonian systems and its applications. I
• Hamiltonian algorithms for Hamiltonian systems and a comparative numerical study
• Lie-Poisson Hamilton-Jacobi theory and Lie-Poisson integrators
• Symplectic integration of Hamiltonian systems
• The accuracy of symplectic integrators

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