# Research in applied mathematics

Applied mathematics is the application of mathematical methods by different fields such as science, engineering, business, computer science, and industry. Thus, applied mathematics is a combination of mathematical science and specialized knowledge. The term "applied mathematics" also describes the professional specialty in which mathematicians work on practical problems by formulating and studying mathematical models. *Source: Wikipedia*

## Professors with interests in applied mathematics

- Fatih Celiker
- Fernando Charro
- Paul Chow
- Tao Huang
- Catherine Lebiedzik
- Hengguang Li
- Jose-Luis Menaldi
- Boris Mordukhovich
- Tze-Chien Sun
- Pei-Yong Wang
- George Yin
- Sheng Zhang
- Zhimin Zhang

## Research areas in applied mathematics

- 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