4 papers · 1 filter
Optimal error bounds on the exponential integrator for dispersive equations with highly concentrated potential
Guillaume Bal, Chushan Wang
We study a one-dimensional linear dispersive equation of differential order with concentrated potential of extension with , featuring…
Error estimates of an exponential wave integrator for the nonlinear Schrödinger equation with singular potential
Weizhu Bao, Chushan Wang
We analyze a first-order exponential wave integrator (EWI) for the nonlinear Schrödinger equation (NLSE) with a singular potential that is locally in , which might be locally…
Optimal error bounds on an exponential wave integrator Fourier spectral method for the logarithmic Schrödinger equation
Weizhu Bao, Ying Ma, Chushan Wang
We prove a nearly optimal error bound on the exponential wave integrator Fourier spectral (EWI-FS) method for the logarithmic Schrödinger equation (LogSE) under the assumption of $…
Explicit symmetric low-regularity integrators for the nonlinear Schrödinger equation
Yue Feng, Georg Maierhofer, Chushan Wang
The numerical approximation of low-regularity solutions to the nonlinear Schrödinger equation is notoriously difficult and even more so if structure-preserving schemes are sought.…