報告人:Wang  Li 助理教授

State University of New York at Buffalo(美國紐約州立大學布法羅分校)                     

報告題目: The uniform convergence of gPC-based numerical methods for transport equation with random input

報告摘要: This talk will deal with gPC-based numerical methods for the linear transport equation with random scattering and initial data. In the diffusion regime, these methods suffer from slow convergence due to the small scales. We show that, as long as the numerical scheme is asymptotic preserving for every choice of the random variable, the numerical scheme enjoy a uniform convergence independent of the small parameters. For the stochastic collocation method, the proof relies on the regularity of the solution, whereas for the stochastic Galerkin method, we also need to take care of the position of the scattering term.

報告時間: 2016年7月7日上午10：00-11：30

報告地點: 科技樓南樓811室