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 present efficient, unconditionally stable and accurate numerical methods
for approximations of the Klein–Gordon–Schrödinger (KGS) equations with/without damping …

In this work, a novel class of high-order energy-preserving algorithms are developed for
simulating the coupled Klein-Gordon-Schrödinger equations. We introduce a Lagrange …

The focus of this paper is on the optimal error bounds of two finite difference schemes for
solving the d-dimensional (d= 2, 3) nonlinear Klein-Gordon-Schrödinger (KGS) equations …

In this paper, we propose explicit multi-symplectic schemes for Klein–Gordon–Schrödinger
equation by concatenating suitable symplectic Runge–Kutta-type methods and symplectic …

In this paper, we develop a new kind of multisymplectic integrator for the coupled nonlinear
Schrödinger (CNLS) equations. The CNLS equations are cast into multisymplectic …

In this paper, we propose a compact finite difference scheme for computing the Klein–
Gordon–Schrödinger equation (KGSE) with homogeneous Dirichlet boundary conditions …

In the manuscript, we propose an explicit symplectic partitioned Runge–Kutta Fourier
pseudo-spectral (SPRK-FPS) scheme for the coupled Klein–Gordon–Schrödinger (KGS) …

The focus of this paper is on the optimal error bounds of a Fourier pseudo-spectral
conservative scheme for solving the 2-dimensional nonlinear Klein–Gordon–Schrödinger …

In this paper, we design two classes of high-accuracy conservative numerical algorithms for
the nonlinear Klein-Gordon-Schrödinger system in two dimensions. By introducing the …