Mathematics Home Page of Todd Arbogast

Todd Arbogast
Professor of Mathematics
University of Texas at Austin
Ph.D., University of Chicago, 1987

Department of Mathematics
The University of Texas at Austin
1 University Station C1200
Austin, Texas 78712

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 characteristics-mixed scheme for advective flow, the study of cell-centered finite differences (mixed methods) for nonlinear and geometrically irregular problems, the modeling and simulation of flow through fractured and vuggy media, and numerical subgrid upscaling of heterogeneous media and nonlinear problems. He is a member of the Institute for Computational Engineering and Sciences and its Center for Subsurface Modeling at The University of Texas at Austin, and an associated faculty in the Division of Statistics and Scientific Computation.


My ICES home page      Short Curriculum Vitae      Long Curriculum Vitae      Publications


Class Information

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

Spring 2013
M 348. Scientific Computation in Numerical Analysis.

Fall 2012
M 427K. Advanced Calculus for Applications I.
M 383C/CSE 386C. Methods of Applied Mathematics I.

Fall 2011
M 340L. Matrices and Matrix Calculations-CS.
M 383C/CSE 386C. Methods of Applied Mathematics I.

Spring 2011
M 383G/CAM 386K. Numerical Treatment of Differential Equations.

Fall 2010
M 340L. Matrices and Matrix Calculations.
M 383C/CAM 385C. Methods of Applied Mathematics I.

The University of Texas at Austin honor code
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.

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

Mathematics Preliminary Examinations
Past Exams


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.


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.
Elements of Computing Program.

Careers in applied mathematics and MAA career profiles.


Miscellaneous Links

Overview of CSEM program for incoming students
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
Object-Oriented Numerics.
Obfuscated C code. What does this code do? Merry Christmas!