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Symplectic Geometric Algorithms for Hamiltonian Systems || Symplectic Runge-Kutta Methods

✍ 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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πŸ“œ SIMILAR VOLUMES


Multi-Symplectic Runge–Kutta Collocation
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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 Hami
✍ Feng, Kang; Qin, Mengzhao πŸ“‚ Article πŸ“… 2010 πŸ› Springer Berlin Heidelberg 🌐 German βš– 667 KB

"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