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Applied Math 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.
 

Minghao Rostami is interested in linear stability analysis for large-scale dynamical systems and numerical methods for the linear systems arising from it.
 

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

Yi (Grace) Wang's research interests lie in applied harmonic analysis, machine learning and signal and image processing. In particular, she is interested in modeling high-dimensional data clouds with appropriate (locally) low-dimensional structures as well as relevant applications to real data, including lightcurves in astronomy, medical signals, images of paintings and hyperspectral images and videos of remote sensing.

Professor Emeritus

 

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.

Graduate students

 

Xiaoxia (Alice) Liu is co-advised by Professors Xu and Shen.
 

Xuefei Ma is a student of Professor Shen.
 

Erin Tripp is a student of Professor Shen.