Numerical Mathematics Research Group

Professors

Uday Banerjee is interested in the analysis of numerical methods to approximate solutions, eigenvalues and eigenvectors of elliptic PDEs. Presently, he is studying various aspects of Meshless Methods and Generalized Finite Element Methods. His interests also include elliptic PDEs with nonsmooth coefficients.

Adam Lutoborski studies weak convergence methods in nonlinear variational problems. In particular, he is interested in homogenization methods and microstructure in nonlinear elasticity.

Lixin Shen is interested in applied and computational harmonic analysis. He is currently using wavelets analysis for digital image processing.

Yuesheng Xu's research interests include computational mathematics, wavelet analysis, signal processing and image processing. In particular, he is interested in fast multiscale solutions of differential equations and integral equations.