Applied Math Group

The Applied Mathematics Group in the Department of Mathematics of the University of Georgia has diverse research interests which include developing multivariate spline methods to numerically solve nonlinear partial differential equations, approximation of special functions, hierarchical control in stochastic manufacturing systems, stochastic filtering, tracking of random target clusters, mathematical finance, and stability in deterministic and stochastic population dynamics models.

Faculty and Research Interests

• Thomas Gard, Professor, Ph. D., University of Tennessee, Knoxville, 1974, Differential Equations and Mathematical Biology, Stochastic Differential Equations, Population Growth and Population Interaction Models.

• Dhandapani Kannan, Professor, Ph. D., Wayne State University, 1970, Diffusion Stochastic Processes and Applications, Stochastic Partial Differential Equations, Stochastic Evolution Equations, Simulation in Stochastic Processes, Stochastic Filtering and Target Tracking.

• Ming-Jun Lai, Professor, Ph. D., Texas A&M, 1989, Numerical Analysis, Multivariate Splines, Approximation Theory, Computer Aided Geometric Design, Wavelet Analysis, Numerical Solutions of Partial Differential Equations.

• Frank Lether, Professor, Ph. D., University of Utah, 1969, Numerical Analysis, Numerical Approximation of Special Functions, Quadrature Rules.

• Paul Wenston, Associate Professor, Ph. D., Carnegie-Mellon University, 1974, Numerical Analysis, Numerical Solutions of Partial Differential Equations, Linear Partial Differential Equations.

• Qing Zhang, Professor, Ph. D., Brown University, 1988, Applied Probability, Stochastic Optimal Control, Singular Perturbations, Nonlinear Filtering, Manufacturing Systems, Hierarchical Control, Mathematical Finance.