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Multi-symplectic Runge-Kutta methods for Landau-Ginzburg-Higgs equation

โœ Scribed by Wei-peng Hu; Zi-chen Deng; Song-mei Han; Wei Fa


Publisher
Springer
Year
2009
Tongue
English
Weight
200 KB
Volume
30
Category
Article
ISSN
0253-4827

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Multi-Symplectic Rungeโ€“Kutta Collocation
โœ Sebastian Reich ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 403 KB

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