It has been 16 years since Kang Feng passed away. It is our honor to publish the English
version of Symplectic Algorithm for Hamiltonian Systems, so that more readers can see the …

In the paper, we describe a novel kind of multisymplectic method for three-dimensional (3-D)
Maxwell's equations. Splitting the 3-D Maxwell's equations into three local one-dimensional …

In this paper, we compare the behaviour of one symplectic and three multisymplectic
methods for Maxwell's equations in a simple medium. This is a system of PDEs with …

In this paper, we discuss the concept of local structure-preserving algorithms (SPAs) for
partial differential equations, which are the natural generalization of the corresponding …

We propose two schemes [AVF (2) and AVF (4)] for Maxwell's equations, by discretizing the
Hamiltonian formulation with Fourier pseudospectral method for spatial discretization and …

In this paper, we develop a multi-symplectic wavelet collocation method for three-
dimensional (3-D) Maxwell's equations. For the multi-symplectic formulation of the …

In this paper, we study a multi-symplectic scheme for three dimensional Maxwell's equations
in a simple medium. This is a system of PDEs with multi-symplectic structures. We prove that …

An explicit finite-difference scheme is developed to solve the three-dimensional Maxwell's
equations in Drude medium. Our aim of developing this scheme in time domain is to …

In this paper, we derive a 6-point multisymplectic Preissman scheme for the regularized long-
wave equation from its Bridges' multisymplectic form. Backward error analysis is …

We propose a new multi-symplectic integrating scheme for the Korteweg-de Vries (KdV)
equation. The new scheme is derived by concatenating spatial discretization of the multi …