On the conservativeness of a two-parameter family of three-stage symmetric-symplectic Runge-Kutta methods

DOI10.1134/S0012266112070075zbMath1255.65226MaRDI QIDQ1760457

P. A. Aleksandrov, G. G. Elenin

Publication date: 14 November 2012

Published in: Differential Equations (Search for Journal in Brave)

zbMATH Keywords

Cauchy problemnumerical examplesmolecular dynamicsHamiltonian functionsymplectic and symmetric methodssymmetric-symplectic Runge-Kutta methods

Mathematics Subject Classification ID

Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Molecular physics (81V55) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15)

Related Items (1)

Testing a new conservative method for solving the Cauchy problem for Hamiltonian systems on test problems

Uses Software

• GSL

Cites Work

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• On the conservativeness of two-stage symmetric-symplectic Runge-Kutta methods and the Störmer-Verlet method
• Runge-Kutta schemes for Hamiltonian systems
• Canonical Runge-Kutta methods
• A new discretization of the Kepler motion which conserves the Runge-Lenz vector
• Lie-Poisson Hamilton-Jacobi theory and Lie-Poisson integrators
• Simulating Hamiltonian Dynamics
• Geometric Numerical Integration

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