Poisson integrators

DOI10.1016/j.mcm.2005.01.015zbMath1074.65145arXivnlin/0505037OpenAlexW2913872720MaRDI QIDQ2486766

Bülent Karasözen

Publication date: 17 August 2005

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0505037

zbMATH Keywords

discrete gradient methodssymplectic Runge-Kutta methodsSymplectic integratorsLie-Poisson systemsNambu-Hamiltonian systemsBi-Hamiltonian systemsHamiltonian ODEs and PDEsIntegrable discretizations

Mathematics Subject Classification ID

Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15)

Related Items

Variational discretization for the planar Lotka-Volterra equations in the Birkhoffian sense, On the geometry of the Hamilton-Jacobi equation and generating functions, Structure-Preserving Numerical Methods for Stochastic Poisson Systems, Unnamed Item, Poisson integrators for Volterra lattice equations, Projected exponential Runge-Kutta methods for preserving dissipative properties of perturbed constrained Hamiltonian systems, Bi-Hamiltonian structure in Frenet-Serret frame, Energy preserving integration of bi-Hamiltonian partial differential equations

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