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三元名家論壇:Numerical methods and analysis for oscillatory dispersive PDEs
作者:     供圖:     供圖:     日期:2025-05-06     來(lái)源:    

講座主題:Numerical methods and analysis for oscillatory dispersive PDEs

專家姓名:蔡勇勇

工作單位:北京師范大學(xué)

講座時(shí)間:2025年05月07日11:00-12:00

講座地點(diǎn):數(shù)學(xué)院大會(huì)議室341

主辦單位:煙臺(tái)大學(xué)數(shù)學(xué)與信息科學(xué)學(xué)院

內(nèi)容摘要:

Dispersive PDEs, such as Klein-Gordon equation, Dirac equation, Schrodinger equation, arise from many different areas, e.g. computational chemistry, plasma physics, quantum mechanics. Typical computational tasks in dispersive PDEs are finding the ground/stationary states and solving the dynamics. In this talk, we report some recent advances on the numerical methods and analysis for the time-dependent dispersive PDEs, paying particular attention to the highly oscillatory PDEs, which usually exhibit solutions with high frequency waves in time and/or in space, and are generally computational expensive.

主講人介紹:

蔡勇勇,北京師范大學(xué)教授,海外高層次青年人才計(jì)劃。在MCOM、JCP和SIAM系列等期刊上發(fā)表多篇論文,主持多項(xiàng)國(guó)家自然科學(xué)基金。