Areas of Research in Applied Mathematics

Professors Celiker, Chow, Khasminskii, Korostelev, Lu, Menaldi , Mordukhovich , Sun, Williams, Yin, S. Zhang and Z. Zhang

Research in this area deals with topics such as: Stochastic differential equations (both ordinary and partial); Random integral equations; Numerical solution of stochastic differential equations; Wave propagation; Reaction diffusion equation; Fluid dynamics, flow in porous media, numerical oil reservoir simulation; Stability theory; Elliptic and parabolic differential equations; Population dynamics; Mathematical biology; Deterministic and stochastic control; Stochastic approximation; Optimization theory and systems science; Differential games; Inverse problems in physical sciences; Approximation theory, spline function and geometric design; Numerical methods for differential equations, finite element analysis, high performance computing; Nonlinear Analysis, Nonsmooth and Variational Analysis.