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Applied Math Research Group

Professors

Person Notes
 

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. He is also a member of the interdisciplinary Soft & Living Matter group at Syracuse University.

Professor Emeritus

Person Notes
 

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

Person Notes
 

Stephen Farnham is a student of Professor Lanzani and Professor Shen.
 

Xuefei Ma is a student of Professor Shen.
 

Erin Tripp is a student of Professor Shen.