Poisson integrators

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