Runge-kutta methods for hamiltonian systems in non-standard symplectic two-form

DOI10.1080/00207169808804629zbMath0891.65089OpenAlexW2083519438MaRDI QIDQ4375415

Bülent Karasözen

Publication date: 3 July 1998

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207169808804629

zbMATH Keywords

numerical resultsPoisson manifoldsLotka-Volterra equationsHamiltonian equationssymplectic Runge-Kutta methodsKermack-McKendrick epidemic disease modelsymplectic two-forms

Mathematics Subject Classification ID

Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Medical epidemiology (92C60)

Related Items (2)

Accurate long-term integration of dynamical systems ⋮ An unconventional finite difference scheme for modified Korteweg-de Vries equation

Cites Work

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• Almost Poisson integration of rigid body systems
• Comment on ``Poisson schemes for Hamiltonian systems on Poisson manifolds
• Accurate long-term integration of dynamical systems
• Bi-Hamiltonian structure of the Kermack-McKendrick model for epidemics
• Symplectic Partitioned Runge–Kutta Methods for Constrained Hamiltonian Systems

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