In this talk, I will discuss our recent work on a numerical framework for extracting the local low-rank or low-dimensional structures and linking these structures on the hierarchical tree via FMM type algorithms to identify the global features. Possible applications include rigid body Brownian dynamics simulations and data and image analysis.

Prof. Jingfang Huang is a full professor in the Department of Mathematics at the University of North Carolina at Chapel Hill. He works on the fast algorithms, integral equations, potential theory and their applications in electromagnetics solid and fluid dynamics, molecular mechanics and quantum chemistry. He obtained his doctoral degree in 1997 from the Courant Institute of Mathematical Sciences at New York University.