2 papers
math.NA2026
A Uniformly Accurate Multiscale Time Integrator for the Klein-Gordon-Schrödinger Equations in the Nonrelativistic Regime via Simplified Transmission Conditions
Yue Feng, Caoyi Liu
We propose a novel and simplified multiscale time integrator Fourier pseudospectral (MTI-FP) method for the Klein-Gordon-Schrödinger (KGS) equations with a dimensionless parameter…
math.NA2025
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.…