报告摘要:
| In this talk, I will introduce my main research work for my past and present studies on the uniformly accurate numerical methods for highly oscillatory PDEs. I will firstly introduce the overview of the highly oscillatory problem, and then split the topic into the work for the Klein-Gordon type wave/dispersive equations and the work for the Vlasov type kinetic equations. Numerical methods with uniform accuracy and computational cost regardless of the oscillation frequency are developed for the two types of PDEs. The former model applies widely in quantum and particle physics, and the latter comes up from the plasma fusion in tokamak.
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