Partitioned Runge-Kutta methods as phase volume preserving integrators

DOI10.1016/0375-9601(96)00500-2zbMath0972.65506OpenAlexW2121578985MaRDI QIDQ1967948

Yuri Borisovich Suris

Publication date: 7 March 2000

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

Full work available at URL: https://doi.org/10.1016/0375-9601(96)00500-2

Mathematics Subject Classification ID

Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Numerical investigation of stability of solutions to ordinary differential equations (65L07)

Related Items (5)

Partitioned general linear methods for separable Hamiltonian problems ⋮ Nilpotent normal form for divergence-free vector fields and volume-preserving maps ⋮ A SYMPLECTIC ALGORITHM FOR THE STABILITY ANALYSIS OF NONLINEAR PARAMETRIC EXCITED SYSTEMS ⋮ Probabilistic Methods for the Incompressible Navier–Stokes Equations With Space Periodic Conditions ⋮ Volume preserving RK methods for linear systems

Cites Work

• Fourth-order symplectic integration
• A symplectic integration algorithm for separable Hamiltonian functions
• Construction of higher order symplectic schemes by composition
• Volume-preserving schemes and numerical experiments
• Energy conserving, Liouville, and symplectic integrators
• Volume-preserving algorithms for source-free dynamical systems
• The canonicity of mappings generated by Runge-Kutta type methods when integrating the systems
• Existence of invariant tori in volume-preserving diffeomorphisms
• Explicit Canonical Methods for Hamiltonian Systems
• High-Order Symplectic Runge–Kutta–Nyström Methods
• Partitioned Runge-Kutta Methods for Separable Hamiltonian Problems
• Volume-preserving integrators
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