Mathematics Home Page of Todd Arbogast

Todd Arbogast
Professor of Mathematics
W.A. "Tex" Moncrief, Jr. Simulation-Based
   Engineering and Sciences Professorship I
University of Texas at Austin
Ph.D., University of Chicago, 1987

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

Office: RLM 11.162
Phone: (512) 471-0166
E-Mail: arbogast@math.utexas.edu
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 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 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.


My ICES home page      Curriculum Vitae      Publications


Class Information

Canvas web site.

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

Undergraduate Learning Assistant jobs.

Directed reading program.

Spring 2016
M 368K. Numerical Methods for Applications.       A web-based c++ compiler

Fall 2015
M 348. Scientific Computation in Numerical Analysis.
M 383C/CSE 386C. Methods of Applied Mathematics I.

Spring 2015
M 427K. Advanced Calculus for Applications I-Engineering Honors.
M 362K. Probability I.

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."

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 of Texas at Austin provides upon request appropriate academic accommodations for qualified students with disabilities. For more information, contact the Office of the Dean of Students at 471-6259, 471-4641 TTY.


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

Mathematics Preliminary Examinations Past Exams

Overview of CSEM program for incoming students


Undergraduate Advising

Bachelor of Science in Mathematics, Option III: Mathematical Sciences with a Specialization in Scientific Computation degree requirements.

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

Mathematics Degree Options.

Careers in applied mathematics and MAA career profiles.


Miscellaneous Links

Responsible Conduct in Research

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.
Disasters attributable to rounding and other errors in numerical computations, as compiled by Pete Stewart.
Software bugs, as compiled by Thomas Huckle
Obfuscated C code. What does this code do? Merry Christmas!