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 this paper, we derive a series of local structure-preserving algorithms for the “good”
Boussinesq equation, including multisymplectic geometric structure-preserving algorithms …

Continental magmatic arcs are characterized by the accretion of voluminous mantle-derived
magmatic rocks and the growth of juvenile crust. However, significant volumes of meta …

In this paper, two semi-explicit multisymplectic schemes are derived for the strongly coupled
schrödinger system. Based on the two new multisymplectic schemes, we obtain a …

In this study, for two-dimensional Maxwell's equations, an efficient preconditioned
generalized minimum residual method on the graphics processing unit (GPUPGMRES) is …

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 …

Applying the Fourier pseudospectral method to space derivatives and the symplectic Euler
rule to time derivatives in the multisymplectic form of the Klein-Gordon-Zakharov equations …

In this paper, we derive a new 10-point multisymplectic scheme for the modified regularized
long-wave equation. The new scheme is an explicit scheme in the sense that the third time …

The local one-dimensional multisymplectic scheme (LOD-MS) is developed for the three-
dimensional (3D) Gross-Pitaevskii (GP) equation in Bose-Einstein condensates. The idea 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 …