Computational and Applied Math—Research

Computational and applied mathematicians model phenomena from a wide variety of science and engineering disciplines and design computer algorithms to solve the resulting mathematical problems. Faculty at Michigan Tech study problems from fluid dynamics, model polymers and multiphase flows, simulate optical phenomena, and study composite materials. Several faculty focus on the design and analysis of numerical methods for solving partial differential equations.

Faculty and Areas of Interests

Finite element methods for fluids; Modeling and simulation of viscoelastic fluids
Inverse problems in partial differential equations; Numerical optimization; Mathematical software
Applied mathematics; Online and hybrid (online/classroom) education
Turbulence Modeling, Computational Fluid dynamics; High-accuracy numerical methods for PDEs; Uncertainty Quantification, high-dimensional integration
Composites Modeling
Scientific computing; Numerical PDEs; Parallel Computing; Plasma modeling and simulation; Dimension Reduction
Numerical Analysis and Scientific Computing; Numerical PDEs; Radial Basis Functions Method; Fractional Differential Equations
Algorithms that can be parallelized on GPUs; Applications of differential equations to science and engineering
Numerical Methods for PDEs; Inverse Problems; Scientific Computing; EM methods in Geophysics
Computational fluid dynamics, especially the modeling of sprays and multiphase flows
Numerical PDE, Scientific computing; Computational modeling of Nafion material; Mathematical image processing, inverse problems, nonlinear optics
Superconvergence of discontinuous Galerkin methods; Numerical cosmology; Numerical methods for two-phase flow in porous media; Numerical methods for partial differential equations with blow-up solutions