Professional Home Page of Todd Arbogast

Todd Arbogast's areas of expertise include the numerical analysis of partial differential systems, mathematical modeling, and scientific computation. His research includes the development of a Eulerian-Lagrangian and WENO schemes for advective flow; the study of mixed methods and cell-centered finite differences for nonlinear and geometrically irregular elliptic problems; the modeling and simulation of multi-phase flow through porous media, including fractured and vuggy media, with applications to petroleum production and groundwater resources; numerical homogenization, subgrid upscaling, and domain decomposition of heterogeneous media; and simulation of the dynamics of the Earth's mantle. He is a core member of the Oden Institute for Computational Engineering and Sciences and associate director of the Center for Subsurface Modeling at The University of Texas at Austin, and an associated faculty of the Department of Statistics and Date Sciences.

Fall 2020
M 383C/CSE 386C. Methods of Applied Mathematics I.   

Spring 2020
M 383D/CSE 386D. Methods of Applied Mathematics II.   (Pre COVID-19 syllabus.)

Fall 2019
M 340l. Matrices and Matrix Calculations-CS.

Spring 2019
M 383D/CSE 386D. Methods of Applied Mathematics II.

Fall 2018
M 348. Scientific Computation in Numerical Analysis.       A web-based c++ compiler
M 340l. Matrices and Matrix Calculations-CS.

Spring 2018
M 348. Scientific Computation in Numerical Analysis.

The University of Texas at Austin Student Honor Code
"As a student of The University of Texas at Austin, I shall abide by the core values of the University and uphold academic integrity."