Numerical Simulation of Multi-Phase Multi-Component Reactive Flow in Porous Media

In this thesis we develop a multi-component multi-phase reactive transport simulator to facilitate the investigation of a large variety of phenomena in porous media including component transport, diffusion, microbiological growth and decay, cell attachment and detachment and phase exchange. The coupled problem is solved using operator splitting approach. This approach enables us to use higher-order schemes and reduce numerical diffusion, which can result in an overestimation of phase exchange and reaction processes. Furthermore, this approach allows a flexible adaptation of the solution strategy to the concrete problem. We conduct an in-depth comparison of the fully-coupled and splitting approaches in order to derive criteria for the most efficient scheme depending on the relative importance of advection, diffusion and reaction

Generalized averaged Gaussian quadrature and applications

A simple numerical method for constructing the optimal generalized averaged Gaussian quadrature formulas will be presented. These formulas exist in many cases in which real positive GaussKronrod formulas do not exist, and can be used as an adequate alternative in order to estimate the error of a Gaussian rule. We also investigate the conditions under which the optimal averaged Gaussian quadrature formulas and their truncated variants are internal

MS FT-2-2 7 Orthogonal polynomials and quadrature: Theory, computation, and applications

Quadrature rules find many applications in science and engineering. Their analysis is a classical area of applied mathematics and continues to attract considerable attention. This seminar brings together speakers with expertise in a large variety of quadrature rules. It is the aim of the seminar to provide an overview of recent developments in the analysis of quadrature rules. The computation of error estimates and novel applications also are described

Mathematics & Statistics 2017 APR Self-Study & Documents

UNM Mathematics & Statistics APR self-study report, review team report, response report, and initial action plan for Spring 2017, fulfilling requirements of the Higher Learning Commission