Stabilized starting algorithms for collocation Runge-Kutta methods
نویسندگان
چکیده
منابع مشابه
Multi-Symplectic Runge-Kutta Collocation Methods for Hamiltonian Wave Equations
A number of conservative PDEs, like various wave equations, allow for a multi-symplectic 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 numerical methods that preserve a symplectic conservation law similar to the conservation of symplect...
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ژورنال
عنوان ژورنال: Computers & Mathematics with Applications
سال: 2003
ISSN: 0898-1221
DOI: 10.1016/s0898-1221(03)80027-5