High-order and Mass-conservative Regularized Implicit-explicit relaxation Runge-Kutta methods for the logarithmic Schrödinger equation

Jingye Yan, Hong Zhang, Yabing Wei +1

The non-differentiability of the singular nonlinearity (such as $f=\ln |u{|}^2$) at $u=0$ presents significant challenges in devising accurate and efficient numerical schemes for the…