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Explicit energy conservative difference schemes for nonlinear dynamical systems with at most quartic potentials

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Publication:1964995
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DOI10.1016/0375-9601(94)90788-9zbMath0960.70500OpenAlexW2060917965MaRDI QIDQ1964995

Yuji Ishimori

Publication date: 6 February 2000

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

Full work available at URL: https://doi.org/10.1016/0375-9601(94)90788-9



Mathematics Subject Classification ID

Computational methods for problems pertaining to mechanics of particles and systems (70-08) Hamilton's equations (70H05) Numerical methods for ordinary differential equations (65L99)


Related Items

Energy conservative stochastic difference scheme for stochastic Hamilton dynamical systems ⋮ Numerical simulation for a nonlinear partial differential equation with variable coefficients by means of the discrete variational derivative method



Cites Work

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  • Recent progress in the theory and application of symplectic integrators
  • The Hénon-Heiles system revisited
  • Numerical solution of a nonlinear Klein-Gordon equation
  • Conservative numerical methods for \(\ddot x=f(x)\)
  • Lie-Poisson Hamilton-Jacobi theory and Lie-Poisson integrators
  • Exact solution of a difference approximation to Duffing's equation
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