MSCS Faculty Research - Applied Mathematics
Rafail Abramov, Ph.D. Rensselaer Polytechnic Institute, 2002. Statistical description of chaotic dynamical systems with many conserved quantities, information theory-based predictability, fluctuation-dissipation theorem and its geophysical applications, numerical methods and computational algorithms in these areas.
Neil Berger (Emeritus), Ph.D. Courant Institute of Mathematical Sciences, 1968. Elasticity, fluid mechanics.
Jerry Bona, Ph.D. Harvard University, 1971. Fluid mechanics; partial differential equations; numerical analysis; mathematical economics; oceanography.
Hongqiu Chen, Ph.D. , . Fluid Mechanics, Partial Differential Equations.
Susan Friedlander, Ph.D. Princeton University, 1972. Mathematical fluid dynamics, partial differential equations.
Floyd Hanson (Emeritus), Ph.D. Brown University, 1968. Computational stochastic control; computational finance; computational biomedicine; stochastic manufacturing systems; scientific supercomputing; stochastic bioeconomics; asymptotics; industrial mathematics; numerical analysis.
Melvin Heard, Ph.D. Purdue University, 1967. Partial integro-differential equations.
Chun-Hsiung Hsia, Ph.D. Indiana University, 2006. nonlinear partial differential equations, hydrodynamic stability and geophysical fluid dynamics, bifurcation theory, KdV equations.
Charles Knessl, Ph.D. Northwestern University, 1986. Asymptotic and perturbation methods; stochastic models; convection-diffusion problems; analysis of algorithms; financial mathematics.
David Nicholls, Ph.D. Brown University, 1998. Numerical Analysis and Applied PDE.
G V Ramanathan (Emeritus), Ph.D. Princeton University, 1965. Statistical mechanics, critical phenomena.
Roman Shvydkoy, Ph.D. University of Missouri-Columbia, 2001. Fluid mechanics, spectral properties of the linearized Euler equation, stability problems; Stongly continuous operator semigroups, Fourier multipliers, spectral theory; Geometry of Banach spaces.
Xiaoqian Tan, Ph.D. , . queuing models, asymptotics...
Charles Tier (Emeritus), Ph.D. Courant Institute of Mathematical Sciences, 1976. Stochastic models in performance evaluation, biology, and computational finance; asymptotic and perturbation methods.
Stephen Yau, Ph.D. State University of New York-Stonybrook, 1976. Algebraic geometry, singularity theory; complex geometry; CR geometry; nonlinear filtering theory; algebraic geometry code; information theory; control theory; financial math; image database; computer software testing, Bioinformatics.