Symplectic Geometric Algorithms for Hamiltonian Systems || Symplectic Runge-Kutta Methods
β Scribed by Feng, Kang; Qin, Mengzhao
- Book ID
- 121747530
- Publisher
- Springer Berlin Heidelberg
- Year
- 2010
- Weight
- 762 KB
- Category
- Article
- ISBN
- 3642017770
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π SIMILAR VOLUMES
A number of conservative PDEs, like various wave equations, allow for a multisymplectic formulation which can be viewed as a generalization of the symplectic structure of Hamiltonian ODEs. We show that Gauss-Legendre collocation in space and time leads to multi-symplectic integrators, i.e., to numer
"Symplectic Geometric Algorithms for Hamiltonian Systems" will be useful not only for numerical analysts, but also for those in theoretical physics, computational chemistry, celestial mechanics, etc. The book generalizes and develops the generating function and Hamilton-Jacobi equation theory from t