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【10月3日】数学学术讲座

】【打印】【关闭窗口 来源:本站原创 作者:统计与数学学院 编辑:王凝 发布时间:2020-10-02
       报告题目:Numerical integrators for disordered nonlinear Schr¨odinger equation
       主讲人:赵晓飞博士 (武汉大学)
       时间:2020年10月3日(周六)10:30 a.m.
       形式:线上讲座
       主办单位:统计与数学学院
       会议链接:
https://meeting.tencent.com/s/QoKACoMqcjJI
       会议ID:638 959 059
       会议密码:201003

       摘要:In this talk, we will present the numerical methods for integrating a cubic non¬linear Schr¨odinger equation with a spatial random potential. The model is known as the continuous disordered NLS. The presence of the random potential induces roughness to the equation and to the solution, which causes convergence order reduction for classical numerical methods. We shall introduce a low-regularity integrator, where we show how to integrate the potential term and the nonlinearity by losing two spatial derivatives. Numerical results will be presented to show the accuracy of LRI compared with classical methods under random/rough potentials from applications.

       主讲人简介:
       赵晓飞,博士,副教授,武汉大学数学与统计学院,研究方向:偏微分方程数值解;高震荡问题的多尺度算法;误差分析;计算物理。


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