Volume-preserving integrators have linear error growth

DOI10.1016/S0375-9601(98)00154-6zbMath0945.65140OpenAlexW2086535743MaRDI QIDQ1966697

C. P. Dyt, Gilles Reinout Willem Quispel

Publication date: 8 March 2000

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0375-9601(98)00154-6

zbMATH Keywords

quasi-periodic orbitslinear long-term error growthvolume-preserving integration methods

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Periodic orbits of vector fields and flows (37C27) Error bounds for numerical methods for ordinary differential equations (65L70) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15)

Related Items (7)

Explicit volume-preserving and symplectic integrators for trigonometric polynomial flows. ⋮ Accurate and efficient simulations of Hamiltonian mechanical systems with discontinuous potentials ⋮ Dynamic programming and Lagrange multipliers for active relaxation of resources in nonlinear non-equilibrium systems ⋮ Comment on ``Symplectic integration of magnetic systems: A proof that the Boris algorithm is not variational ⋮ Explicit high-order symplectic integrators for charged particles in general electromagnetic fields ⋮ A coordinate-free reduction for flows on the volume manifold ⋮ Generating functions for dynamical systems with symmetries, integrals, and differential invariants

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