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 …

Different efficient and accurate numerical methods have recently been proposed and
analyzed for the nonlinear Klein-Gordon equation (NKGE) with a dimensionless parameter …

In this work, two novel classes of structure-preserving spectral Galerkin methods are
proposed which based on the Crank–Nicolson scheme and the exponential scalar auxiliary …

In this paper, we propose Fourier spectral method to solve space fractional Klein–Gordon–
Schrödinger equations with periodic boundary condition. First, the semi-discrete scheme is …

In this paper, we develop a class of arbitrarily high-order energy-preserving time integrators
for the nonlinear Klein–Gordon–Schrödinger equations. We employ Fourier pseudo-spectral …

We present the fourth‐order compact finite difference (4cFD) discretizations for the long time
dynamics of the nonlinear Klein–Gordon equation (NKGE), while the nonlinearity strength is …

We present a class of arbitrarily high-order conservative schemes for the Klein–Gordon
Schrödinger equations. These schemes combine the symplectic Runge–Kutta method with …

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 …

We construct three efficient and accurate numerical methods for solving the Klein–Gordon–
Schrödinger (KGS) equations with/without damping terms. The first one is based on the …