Applied Mathematics and Wave Phenomena

Applied Mathematics and Wave Phenomena focuses on solving problems that are inherently interdisciplinary with direct physical applications to fields that span the sciences and engineering. Such research invariably leads to studying complex behavior that require tools from mathematical modelling, analysis, and numerical simulation to gain a better understanding of the underlying physical phenomena. Application areas include fluid dynamics, plasma physics, fracture mechanics, hydrological chemical reaction networks, transport phenomena, inverse problems, geophysics, and signal processing. Topics of interest include numerical methods for solving partial differential equations, approximation theory, machine learning, wave motion, nonlinear dynamics, qualitative structure and bifurcation theory, complex networks, and optimization, among others.

Research Faculty

Greg Fasshauer

email: fasshauer@mines.edu

Meshfree Approximation Methods
Radial Basis Functions
Approximation Theory
Numerical Solution of PDEs
Spline Theory
Computer-Aided Geometric Design

Mahadevan Ganesh

email: mganesh@mines.edu

Forward and inverse acoustic and electromagnetic scattering in 3-D.
Efficient algorithms for the Stokes and Navier-Stokes equations on rotating surfaces.
Quadrature finite element methods for elliptic, parabolic and hyperbolic problems.
Free surface nonlinear evolutionary systems with applications.