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

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

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...

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Bibliographic Details
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
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Institution: Nanyang Technological University
Language: English

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https://hdl.handle.net/10356/178563

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