Does variable step size ruin a symplectic integrator?

DOI10.1016/0167-2789(92)90247-KzbMath0779.58020MaRDI QIDQ687820

Robert D. Skeel, C. William Gear

Publication date: 28 November 1993

Published in: Physica D (Search for Journal in Brave)

zbMATH Keywords

Hamiltonian systemsstep sizesymplectic invariants

Mathematics Subject Classification ID

Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)

Related Items (9)

Variable time step integration with symplectic methods ⋮ Symplectic integration schemes for the ABC flow ⋮ Random time step probabilistic methods for uncertainty quantification in chaotic and geometric numerical integration ⋮ Error growth in the numerical integration of periodic orbits ⋮ Functionally Fitted Energy-Preserving Methods for Solving Oscillatory Nonlinear Hamiltonian Systems ⋮ An Iterative Variable-timestep Algorithm for Molecular Dynamics Simulations ⋮ Do-it-yourself computational astronomy. Hardwares, algorithms, softwares, and sciences ⋮ Variable step implementation of geometric integrators ⋮ Symplectic variable step size integration for \(N\)-body problems

Cites Work

• Invariants and numerical methods for ODEs
• The Development of Variable-Step Symplectic Integrators, with Application to the Two-Body Problem

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