On stabilization of energy for Hamiltonian systems

DOI10.1016/J.CPC.2006.01.004zbMath1196.37095OpenAlexW1974406126MaRDI QIDQ710018

D. Kharzeev

Publication date: 18 October 2010

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

Full work available at URL: https://doi.org/10.1016/j.cpc.2006.01.004

zbMATH Keywords

energy conservationsymplectic integratorsnumerical algorithmspost-stabilization

Mathematics Subject Classification ID

Computational methods for problems pertaining to mechanics of particles and systems (70-08) Hamilton's equations (70H05) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15) Stability problems for finite-dimensional Hamiltonian and Lagrangian systems (37J25) Stability problems for problems in Hamiltonian and Lagrangian mechanics (70H14)

Related Items (4)

Geodesic motions of test particles in a relativistic core-shell spacetime ⋮ The adjustment-stabilization method for constrained systems ⋮ VELOCITY CORRECTIONS TO KEPLER ENERGY AND LAPLACE INTEGRAL ⋮ POST-STABILIZATION OF INVARIANTS AND APPLICATION TO NUMERICAL ANALYSIS OF CHAOS FOR SOME 3-DIMENSIONAL SYSTEMS

Cites Work

• Energy corrections in Hamiltonian dynamics simulations
• Stabilization of invariants of discretized differential systems
• Numerical stabilization of orbital motion
• The two fixed centers: an exceptional integrable system
• Regular and stochastic motion
• A new discretization of the Kepler motion which conserves the Runge-Lenz vector
• Non-existence of the modified first integral by symplectic integration methods. II: Kepler problem
• Non-existence of the modified first integral by symplectic integration methods
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