Quadratic invariants and multi-symplecticity of partitioned Runge-Kutta methods for Hamiltonian PDEs
نویسنده
چکیده
In this paper, we study the preservation of quadratic conservation laws of Runge-Kutta methods and partitioned Runge-Kutta methods for Hamiltonian PDEs and establish the relation between multi-symplecticity of Runge-Kutta method and its quadratic conservation laws. For Schrödinger equations and Dirac equations, the relation implies that multi-sympletic RungeKutta methods applied to equations with appropriate boundary conditions can preserve the global norm conservation and the global charge conservation respectively.
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عنوان ژورنال:
- Numerische Mathematik
دوره 106 شماره
صفحات -
تاریخ انتشار 2007