Title of article
Poisson integrators
Author/Authors
Karasِzen، نويسنده , , B.، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2004
Pages
20
From page
1225
To page
1244
Abstract
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.
Keywords
Lie-Poisson systems , Integrable discretizations , Bi-Hamiltonian systems , Hamiltonian ODEs and PDEs , Nambu-Hamiltonian systems , symplectic integrators
Journal title
Mathematical and Computer Modelling
Serial Year
2004
Journal title
Mathematical and Computer Modelling
Record number
1593398
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