Variable step size does not harm second-order integrators for Hamiltonian systems

DOI10.1016/0377-0427(93)90009-ZzbMath0802.65086MaRDI QIDQ686574

Daniel I. Okunbor

Publication date: 10 October 1993

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

performancetwo-body problemHamiltonian systemssymplectic integratorsvariable step size

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Hamilton's equations (70H05) Two-body problems (70F05) Numerical methods for initial value problems involving ordinary differential equations (65L05) Geometry and quantization, symplectic methods (81S10) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Numerical investigation of stability of solutions to ordinary differential equations (65L07) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50)

Related Items (5)

Variable step size destabilizes the Störmer/leapfrog/Verlet method ⋮ The rate of error growth in Hamiltonian-conserving integrators ⋮ Lack of dissipativity is not symplecticness ⋮ The Chebyshev methods of Panovsky and Richardson as Runge-Kutta-Nyström methods ⋮ Symplectic variable step size integration for \(N\)-body problems

Cites Work

• Symplectic integrators for long-term integrations in celestial mechanics
• Explicit Canonical Methods for Hamiltonian Systems
• Unnamed Item

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