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 …

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 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 …

Abstract The coupled Klein–Gordon–Schrödinger equations have significant implications in
quantum field theory, particle physics, cosmology, and nonlinear dynamics. In this study, we …

The nonlinear Schrödinger equation with a highly oscillatory potential (NLSE-OP) often
appears in many multiscale dynamical systems, where the temporal oscillation causes the …

Abstract The Klein–Gordon–Schrödinger (KGS) equations are classical models to describe
the interaction between conservative scalar nucleons and neutral scalar mesons through …

We propose and analyze two regularized finite difference methods for the logarithmic Klein-
Gordon equation (LogKGE). Due to the blowup phenomena caused by the logarithmic …

We establish a class of uniformly accurate nested Picard iterative integrator (NPI) Fourier
pseudospectral methods for the nonlinear Klein-Gordon-Schrödinger equation (KGS) in the …

In this paper, we propose a decoupled local discontinuous Galerkin method for solving the
Klein-Gordon-Schr¨ odinger (KGS) equations. The KGS equations is a model of the Yukawa …

In this work, a novel class of high-order energy-preserving algorithms are developed for
simulating the coupled Klein-Gordon-Schr\"{o} dinger equations. We introduce a Lagrange …