• 科學研究
    報告題目:

    Numerical integrators for disordered nonlinear Schr¨odinger equation

    報告人:

    趙曉飛 副教授(武大數學與統計學院)

    報告時間:

    報告地點:

    理學院東北樓四樓報告廳(404)

    報告摘要:

    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.

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