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

• المؤلفون الرئيسيون: Wang, Li-Lian, Yan, Jingye, Zhang, Xiaolong
• مؤلفون آخرون: School of Physical and Mathematical Sciences
• التنسيق: مقال
• اللغة: English
• منشور في: 2024
• الموضوعات: Mathematical Sciences; Nondifferentiability; Numerical methods
• الوصول للمادة أونلاين: https://hdl.handle.net/10356/178563
• المؤسسة: 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...