Applied Math Seminar-Wavelet-based Edge Multiscale Parareal Algorithm for Parabolic Equations with Heterogeneous Coefficients

Date and and Time: Friday,  April 1st  , 3:15-4:15 pm

Place: Zoom

Zoom link: https://gwu-edu.zoom.us/s/98013143310

passcode: 349324

Speaker:  Jiuhua Hu, University of Wisconsin-Madison, Postdoctoral Scholar

Title: Wavelet-based Edge Multiscale Parareal Algorithm for Parabolic Equations with Heterogeneous Coefficients

Abstract: In this talk, I will start with the introduction of some multiscale methods to solve multiscale problems. Then I will talk about the Wavelet-based Edge Multiscale Parareal Algorithm to solve parabolic equations with heterogeneous coefficients. This algorithm combines the advantages of multiscale methods that can deal with heterogeneity in the spatial domain effectively, and the strength of parareal algorithms for speeding up time evolution problems. The convergence rate of this algorithm can also be derived.  Some numerical tests will demonstrate the performance of our algorithm. This is a joint work with Guanglian Li (The University of Hong Kong).