UMKC Applied Mathematics Group

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.

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. 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.

Current Projects and Activities:

1. Data analysis and statistical modeling (Children’s Mercy Hospital)

2. Impacts of Cattle Movements of Spread of Disease (UC Davis)

Current activities of UMKC Applied Mathematics group include

(1) organizing Math & Stats Research Day (MSRD),
(2) providing Applied Mathematics Public Lecture Series (AMPLE), and
(3) professional service to the community.

Past Projects:

1. Interdisciplinary Applied Mathematics Program (IAMP)

2. Predicting the Next Life Event (H&R Block)

3. Numerical Computations in Image Processing (KU Med)

Collaborative Opportunities

UMKC Applied Mathematics Group is looking for motivated students and scholars in applied mathematics and related fields. 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.

Desired 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. Bani-Yaghoub In your cover letter please indicate the name of the faculty member that you are interested to work with.