The UMKC Applied Mathematics Group is a research group within the Department of Mathematics and Statistics at University of Missouri-Kansas City. The applied mathematics group has interdisciplinary research interests in the areas of mathematical biology, scientific computations, applied analysis, and numerical linear algebra. It also provides high quality teaching and professional service to community such as mathematical modeling, big data analysis and numerical computations.

AMG


 Faculty Research Areas

Dr. Rhee’s research area is in numerical linear algebra, including stable and efficient computations of eigenvalues, eigenvectors, singular values, and singular vectors of matrices. In recent years he has been dealing with the following applied linear algebra problems: approximations of the stationary densities of Frobenius-Perron operators; maximum entropy method and its applications; matrix equations – especially Yang-Baxter matrix equation.

Dr. Bani-Yaghoub uses partial, delay and ordinary differential equations in modeling and analysis of infectious diseases and population dynamics. He welcomes interdisciplinary projects leading to grant proposals or peer-reviewed publications. His research includes but not limited to nonlinear analysis of delayed reaction–diffusion equations, numerical simulation of traveling and stationary wave solutions arising in mathematical biology, and deterministic modeling and analysis host-pathogen systems.

Dr. Vaidya's research interests include applied mathematics, with specific areas of interest in mathematical biology (viral dynamics and immune systems, epidemiology, and ecology), mathematical and computational modeling, differential equations, dynamical systems, optimal control, and biostatistics. Currently, his primary focus lies on developing within-host and between-hosts models of infectious diseases, particularly HIV and influenza. He has published his research work in numerous peer-reviewed international journals.

Dr. Li has developed the theoretical conditions for triangular meshes such that the numerical approximations for anisotropic diffusion problems are free of non-physical solutions. His current research focuses on parallel computing and mesh adaptation for three-dimensional anisotropic diffusion problems and their applications. His research interests include numerical solutions for partial differential equations, finite element method, anisotropic mesh adaptation, anisotropic diffusion problems, image processing, and mathematical modeling and simulation in engineering.



Projects and Collaborative Opportunities

Interdisciplinary Applied Mathematics Program (IAMP)

UMKC Applied Mathematics Group is looking for motivated students both at the graduate and undergraduate levels. Several projects are available throughout the year. In addition to UMKC SEARCH, SUROP and SGS Research funding resources, limited funding is available through the faculty members.

Required qualifications:

(1) knowledge of calculus, ordinary differential equation, matrix theory and linear algebra
(2) quantitative, analytical and programming skills (preferably MATLAB, R,  or Python)
(3) background and/or interest in applied mathematics
(4) ability to communicate effectively in spoken and written English.  

If you are interested, please submit a cover letter,  your CV, and the names of 3 references via e-mail to Dr. Naveen Vaidya (vaidyan@umkc.edu). In your cover letter please indicate the name of the faculty member that you are interested to work with.