Poisson integrators

Date

2004-12-01

Author

Karasözen, Bülent

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An overview of Hamiltonian systems with noncanonical Poisson structures is given. Examples of bi-Hamiltonian ODEs, PDEs, and lattice equations are presented. Numerical integrators using generating functions, Hamiltonian splitting, symplectic Runge-Kutta methods are discussed for Lie-Poisson. systems and Hamiltonian systems with a general Poisson structure. Nambu-Poisson systems and the discrete gradient methods are also presented.

Subject Keywords

Hamiltonian ODEs and PDEs, Symplectic integrators, Lie-Poisson systems, Bi-Hamiltonian systems, Integrable discretizations, Nambu-Hamiltonian systems

URI

https://hdl.handle.net/11511/30204

Journal

MATHEMATICAL AND COMPUTER MODELLING

DOI

https://doi.org/10.1016/j.mcm.2005.01.015

Collections

Graduate School of Applied Mathematics, Article

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Citation Formats

B. Karasözen, “Poisson integrators,” MATHEMATICAL AND COMPUTER MODELLING, pp. 1225–1244, 2004, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/30204.