Abstract: In this talk, I will discuss our recent research efforts in developing fast algorithms for time dependent differential equations. In the spatial direction, elliptic equations are solved using the parallel fast multipole type methods (FMM). In the temporal direction, different preconditioning techniques are introduced to accelerate the convergence and improve the efficiency of an iterative scheme for solving "optimal" time integration formulations. Target applications include the geochemical flows in porous medium and molecular dynamics simulations.

 

About the Speaker: Dr. Jingfang Huang graduated from Tsinghua University with a B.S. degree in 1991 and received a Ph.D. in mathematics from NYU-Courant in 1997. Before accepting a faculty position at UNC-Chapel Hill in 2000, he carried out his postdoc research at NYU-Courant in 1997-99 and Research Lab of Electronics (RLE) at MIT in 1999-2000. He is currently a Professor of Mathematics at UNC. His research interests include fast algorithms, integral equations, and their applications.