Poisson integrators
نویسنده
چکیده
An overview of Hamiltonian systems with noncanonical Poisson structures is given. Examples of bi-Hamiltonian ode's, pde's 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.
منابع مشابه
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عنوان ژورنال:
- Mathematical and Computer Modelling
دوره 40 شماره
صفحات -
تاریخ انتشار 2004