报告人：王汉权 教授（云南财经大学）

时间：2025年11月30日 10:00-

地址：数统学院LD718

摘要：We construct an asymptotic preserving method for the defocusing Davey–Stewartson II equation in the semiclassical limit. First, we introduce the Wentzel–Kramers–Brillouin ansatz  for the equation and obtain the new system for the complex-valued amplitude function and real-valued phase function,respectively. Secondly, we prove the local existence of the solutions of the new system for some time T, and show that the solutions of the new system are convergent to the limit. Finally, we construct a second-order time-splitting Fourier spectral method for the new system and numerous numerical experiments show that the method is uniformly accurate with respect to the small $\varepsilon$ and it is an asymptotic preserving one. The method is a general one and can be extended to study the solution of many other semi-classical Schrodinger equation.

邀请人：刘磊

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