Generating functions of multi-symplectic RK methods via DW Hamilton-Jacobi equations
نویسندگان
چکیده
In this paper we investigate Donder-Weyl (DW) Hamilton-Jacobi equations and establish the connection between DW Hamilton-Jacobi equations and multi-symplectic Hamiltonian systems. Based on the study of DW Hamilton-Jacobi equations, we present the generating functions for multi-symplectic partitioned Runge-Kutta (PRK) methods.
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ورودعنوان ژورنال:
- Numerische Mathematik
دوره 110 شماره
صفحات -
تاریخ انتشار 2008