Butterfly Factorization and Butterfly-Net: from Numerical Linear Algebra to Machine Learning

Speaker: Zhongshu Xu (OSU) Dates: 2022/10/06 Abstract: Butterfly Factorization is a data-sparse nearly optimal approximation for the discrete Fourier Integral Operator (FIO) matrices. It is constructed based on interpolative low-rank approximations of the complementary low-rank matrix. For an N √óN…

Runge-Kutta discontinuous Galerkin(RKDG) methods and cRKDG

Speaker: Qifan Chen (OSU) Dates: 2022/09/29 Abstract: Discontinuous Galerkin methods (DG methods) form a class of numerical methods for solving differential equations. They combine features of the finite element and the finite volume framework and have been successfully applied to…

Interface Problems and Immersed Finite Element Methods

Speaker: Yuan Chen (OSU) Dates: 2022/09/22 Abstract: In this talk, we introduce PDE interface problems and their applications. A brief picture of Immersed Finite Element Method (IFEM) for interface problems will be sketched. Upon sharing the basic ideas and theoretical…