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【10月3日】數學學術講座

】【打印】【關閉窗口 來源:本站原創 作者:統計與數學學院 編輯:王凝 發布時間:2020-10-02
       報告題目:Numerical integrators for disordered nonlinear Schr¨odinger equation
       主講人:趙曉飛博士 (武漢大學)
       時間:2020年10月3日(周六)10:30 a.m.
       形式:線上講座
       主辦單位:統計與數學學院
       會議鏈接:

       會議ID:638 959 059
       會議密碼: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.

       主講人簡介:
       趙曉飛,博士,副教授,武漢大學數學與統計學院,研究方向:偏微分方程數值解;高震蕩問題的多尺度算法;誤差分析;計算物理。