In this work, we propose a symmetric exponential-type low-regularity integrator for solving
the nonlinear Klein-Gordon equation under rough data. The scheme is explicit in the …

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

We establish uniform error bounds of time-splitting Fourier pseudospectral (TSFP) methods
for the nonlinear Klein–Gordon equation (NKGE) with weak power-type nonlinearity and $ O …

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 establish error bounds of the finite difference time domain (FDTD) methods for the long
time dynamics of the nonlinear Klein-Gordon equation (NKGE) with a cubic nonlinearity …

An improved uniform error bound at O hm+ ε 2 τ 2 is established in H α/2-norm for the long-
time dynamics of the nonlinear space fractional Klein-Gordon equation (NSFKGE). A second …

We establish the improved uniform error bounds on a Lawson-type exponential integrator
Fourier pseudospectral (LEI-FP) method for the long-time dynamics of sine-Gordon equation …

We establish uniform error bounds of an exponential wave integrator Fourier pseudospectral
(EWI-FP) method for the long-time dynamics of the nonlinear Klein--Gordon equation …

We propose and compare numerically spatial/temporal resolution of various efficient
numerical methods for solving the Klein–Gordon–Dirac system (KGD) in the nonrelativistic …

[EN] We present a new family of fourth-order splitting methods with positive co-efficients
especially tailored for the time integration of linear parabolic problems and, in particular, for …