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math.NA2024
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 ) at presents significant challenges in devising accurate and efficient numerical schemes for the…
math.NA2023★ 1 cited
Error analysis of a first-order IMEX scheme for the logarithmic Schrödinger equation
Lilian Wang, Jingye Yan, Xiaolong Zhang
The logarithmic Schrödinger equation (LogSE) has a logarithmic nonlinearity that is not differentiable at Compared with its counterpart with a regular nonl…