Don Estep Email and Phone Number

PRINCIPAL RESEARCH INTERESTS• Numerical solution of multiphysics, multiscale differential equations using computational error estimation, adaptive discretization, multiscale, and operator decomposition techniques• Numerical and mathematical analysis of reaction-diffusion-convection problems, including models from biology, chemistry, climate, ecology, fluid flow, fission and fusion reactors, geometry, metallurgy, and networks• Analysis of model sensitivity, uncertainty quantification, and nonparametric density estimation for differential equations, and the inclusion of experimental data in differential equations• Dynamical behavior and stability properties of numerical methods for evolutionary problems• Computational methods and numerical analysis for models coupling atomistic and molecular scale physics to continuum scalesSpecialties: Expertise includes; applied analysis, a posteriori error analysis based on duality, adjoint operators and variational analysis,dynamical properties of numerical methods for evolutionary problems, adaptive space-time finite element methods, numerical methods for evolution problems, dynamical systems