Professional Home Page of Todd Arbogast

Todd Arbogast
Professor of Mathematics
W.A. "Tex" Moncrief, Jr. Distinguished Professorship in Computational
    Engineering and Sciences — Applied Mathematics
University of Texas at Austin
Ph.D., University of Chicago, 1987

Department of Mathematics
2515 Speedway, Stop C1200
Austin, Texas 78712-1202

Office: PMA (RLM) 11.162
Phone: (512) 471-0166

Oden Institute for Computational Engineering and Sciences
201 E. 24th St., Stop C0200
Austin, TX 78712

Office: POB 5.334
Phone: (512) 475-8628

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.

Curriculum Vitae      Publications

2019 Finite Element Rodeo Conference

Banquet in honor of Professor Mary F. Wheeler, July 28, 2019

Finite Volume Approximation, Babuška Forum, May 29, 2020

Class Information

UT Course Schedules, UT Course & Degree Catalogues, UT Academic Calendar, and Course Syllabi and CVs.

Canvas web site.

The University of Texas at Austin Student Honor Code
"I pledge, as a member of the University of Texas community, to do my work honestly, respectfully, and through the intentional pursuit of learning and scholarship."

The University of Texas at Austin Code of Conduct
The core values of The University of Texas at Austin are learning, discovery, freedom, leadership, individual opportunity, and responsibility. Each member of the university is expected to uphold these values through integrity, honesty, trust, fairness, and respect toward peers and community.

Students with Disabilities
The university is committed to creating an accessible and inclusive learning environment. If you are a student with a disability, or think you may have a disability, and need accommodations please contact Services for Students with Disabilities (SSD):

Counselling and Mental Health Services
Available at the Counseling and Mental Health Center, Student Services Building (SSB), 5th floor, M-F 8:00 a.m. to 5:00 p.m., phone 512-471-3515, web site Crisis Line is always available 24/7 at 512-471-2255.

If you have concerns about a student, faculty, or staff member in the UT-Austin community, contact the 24-hour Behavior Concerns and COVID Advice Line (BCCAL) at 512-232-5050.

Student Chapter of SIAM

The Austin Chapter of the Society for Industrial and Applied Mathematics (SIAM) is for all those interested in mathematics and its applications. Welcome are all majors and undergraduates, graduates, faculty, and others.

Graduate Programs

Lecture Notes for Applied Mathematics (2008 corrected version) Methods of Applied Mathematics

Overview of CSEM program for incoming students

Undergraduate Advising

MPA Advising office (E-Mail:

Mathematics Degree Options. (For older degree catalogues: Specialization in Scientific Computation degree requirements.)
Suggested coursework: Mathematics Degree Pathways

Computational Science and Engineering (CSE) Certificate Program. Undergraduate opportunity for in-depth study and research in CSE.

Careers in applied mathematics and MAA career profiles.
Careers in mathematics and Unique jobs for math majors
Experiential Learning Resources. Portal for finding research experiences, internships, and study abroad.

Software Links

Demonstration code for the paper: T. Arbogast and C. Wang, Direct Serendipity and Mixed Finite Elements on Convex Polygons, Numerical Algorithms (2022)

Parallel Subsurface Simulator
Parssim Manual
Parssim code (gzip tar file)

Miscellaneous Links

How to solve quadratic equations geometrically, by Andras Ringler.
A Practical Introduction to Matlab (Updated for Matlab 5), by Mark S. Gockenbach (pdf version).
Corrections to Numerical Analysis: An Introduction, by Walter Gautschi, Birkhauser, Boston, 1997.
Disasters attributable to rounding and other errors in numerical computations, as compiled by Douglas Arnold.
Software bugs, as compiled by Thomas Huckle
Obfuscated C code. What does this code do? Merry Christmas!

You can reach me at:
Last updated: December 27, 2019.