Error analysis of a first-order IMEX scheme for the logarithmic Schrödinger equation

• Main Authors: Wang, Li-Lian, Yan, Jingye, Zhang, Xiaolong
• Other Authors: School of Physical and Mathematical Sciences
• Format: Article
• Language: English
• Published: 2024
• Subjects: Mathematical Sciences; Nondifferentiability; Numerical methods
• Online Access: https://hdl.handle.net/10356/178563
• Institution: Nanyang Technological University

The logarithmic Schrödinger equation (LogSE) has a logarithmic nonlinearity f(u) = uln |u|2 that is not differentiable at u = 0. Compared with its counterpart with a regular nonlinear term, it possesses richer and unusual dynamics, though the low regularity of the nonlinearity brings about significa...