报告主题：Extended block boundary value methods for neutral equations with piecewise constant argument
报告人：张诚坚 教授（华中科技大学）
报告时间：2019年12月7日（周六）15:00
报告地点：校本部G507
邀请人：李常品 教授
主办部门：理学院数学系
报告摘要：
In this talk the error estimates are derived for Lie-Trotter operator splitting spectral method for semi-classical fractional Schrödinger equation. We prove local error estimates for the well-known Lie-Trotter splitting operator associated with the linear or nonlinear fractional Schrödinger equation in the semi-classical regime by using a formula for the fractional Laplacian of the product of two functions, when the WKB analysis is valid. The convergence orders of the fully discrete scheme based on Fourier spectral methods for the space approximation are then analyzed and provided with respect to the time step-size ?t and the small (scaled) Planck constant ε for the first time. Numerical studies are reported for several test cases and verify our theoretical results.
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