Generating functions of multi-symplectic RK methods via DW Hamilton–Jacobi equations
Generating functions of multi-symplectic RK methods via DW Hamilton–Jacobi equations
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DOI：
10.1007/s00211-008-0170-x
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发表时间：
2008-09
影响因子：
2.1
通讯作者：
Jialin Hong;Yajuan Sun
中科院分区：
文献类型：
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作者：
Jialin Hong;Yajuan Sun
研究了De Donder-Weyl（DW）Hamilton-Jacobi方程，建立了DW Hamilton-Jacobi方程与多辛Hamilton系统之间的联系.基于DW Hamilton-Jacobi理论，给出了多辛Runge-Kutta（RK）方法和分块Runge-Kutta（RK）方法的生成函数。
The De Donder–Weyl (DW) Hamilton–Jacobi equation is investigated in this paper, and the connection between the DW Hamilton–Jacobi equation and multi-symplectic Hamiltonian system is established. Based on the DW Hamilton–Jacobi theory, generating functions for multi-symplectic Runge–Kutta (RK) methods and partitioned Runge–Kutta (PRK) methods are presented.