Asymptotic preserving numerical methods for some high-oscillatory partial differential equations
来源:
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发布时间:2026-06-03
报告时间:
2026年5月25日 (周一)上午10:00-12:00
报告地点:
国交2号楼315会议室
报告人:
王汉权
报告人单位:
云南财经大学
邀请人:
王燕
摘要:
In the first part of the talk, we construct an asymptotic preserving (AP) numerical method for the defocusing Davey–Stewartson II equation in the semiclassical limit. First, we introduce the WKB ansatz and obtain a 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.