澳门金沙网址

科学研究
报告题目:

Numerical integrators for disordered nonlinear Schr¨odinger equation

报告人:

赵晓飞 副教授(武大澳门金沙网址)

报告时间:

报告地点:

理学院东北楼四楼报告厅(404)

报告摘要:

In this talk, we will present the numerical methods for integrating a cubic nonlinear 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.