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      Curriculum Vita      Publications      Abstracts of Publications


Class Information

Summer Research Experiences
Undergraduate Research Awards for research in Computational and Applied mathematics, August 5-21, 2008, on Multi-scale Modeling and Analysis: homogenization theory, computational multi-scale methods, etc.

Spring 2008
MATH 383D/CAM 385D. Methods of Applied Mathematics II.

Fall 2007
M 348 Scientific Computation in Numerical Analysis.
MATH 383C/CAM 385C. Methods of Applied Mathematics I.
CAM Area C: Homogenization and Micro-Scale Modeling.

Spring 2007
MATH 368K. Numerical Methods for Applications.
MATH 383D/CAM 385D. Methods of Applied Mathematics II.
M 175W. Individual Instruction Writing Component Course.

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 (2005 version)
pdf-format    postscript-format


Undergraduate Advising

Advising Home Page

UT Course Schedules, UT Course & Degree Catalogues, and UT Academic Calendar

Mathematics Degree Options and description of undergraduate degree program.
Elements of Computing Program.
Mathematical Sciences Option in Scientific Computing      (pdf).

Careers in applied mathematics and MAA career profiles.


Miscellaneous Links

A Practical Introduction to Matlab (Updated for Matlab 5), by Mark S. Gockenbach (Postscript).
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!
Theorems of the Month, from The University of Sheffield, Department of Pure Mathematics.

Current and Future Trends in Numerical PDE's,
A conference in honor of the 75th Birthday of Professor Jim Douglas, Jr.,

Photos from Xian (International Workshop on Computational Methods in Geosciences) July 2007

Photos from Beijing (CMEER Conference) July 2007