Research Training Group (RTG) in Applied and Computational Mathematics

University of Texas at Austin

Summer Course on Multiscale Modeling and Analysis

This is a three-week program on multiscale modeling and analysis for advanced undergraduate and 1st year graduate students. This program will contains 5-6 short course, each consisting of 4-6 one-hour lectures. The lectures will be complemented by problem sessions in the afternoons conducted by senior graduate students from University of Texas.

The prerequisites of the course are advanced calculus and linear algebra. Some familarity with numerical analysis and computer programming will be helpful.

The applicant do NOT need to be a student of the University of Texas at Austin (UT Austin) to apply to this summer course.

Organizers: Kathy Davis, Bjorn Engquist, Richard Tsai, Lexing Ying.

Important Dates

Summer program: July 21- August 8, 2008

For CoLab participants from Portugal
For regular participants (US)

Topics

1. Introduction to Multiscale Modeling
by Bjorn Engquist (University of Texas at Austin)

2. Introduction to Wavelets and Homogenization
by Olof Runborg (KTH)

3. Multiscale modeling for Ordinary Differential Equations and Level Sets
by Richard Tsai (University of Texas at Austin)

4. Fast and Multiscale Algorithms for Integral Equations and Transforms
by Lexing Ying (University of Texas at Austin)

5. Stochastic Multiscale Modeling
by Gil Ariel (University of Texas at Austin)

6. High Frequency Methods for the Wave Equations
by Nick Tanushev (University of Texas at Austin)

Eligibility

1. Must be a U.S. citizen or permanet resident to receive financial support from NSF RTG program.

2. The funding for Portuguese students are provided by the CoLab program.

3. Open to currently enrolled juniors and seniors and first-year graduate students. You do NOT need to be a student of UT Austin. The program is NOT only limited to students with mathematics major. In fact, students with other background are encouraged to apply.

4. Applicants will be considered without regard to race, color, religion, sex, sexual orientation, age, ethnicity, or disability.

Travel and Accomodation

The grant will provide on-campus accommodations and meal allowances. Travel assistance may be available by request and on a case-by-case need. (Only original receipts will be accepted for reimbursement purposes.)

Application

A complete application package must contain

1. The online application form,

2. Two letters of recommendation from faculty members,

3. The official university transcript.

The letters and transcript should be sent to the following contact address (include Summer08 RTG in the title).

Contact Information

The CoLab particpants from Portugal should send recommendation letter and the university transcript to:
Prof. Diogo Aguiar Gomes (dgomes@math.ist.utl.pt).

The regular participants should send the recommendation letter and the university transcript to:
Prof. Lexing Ying (lexing at math dot utexas dot edu).

Introductory Slides to Multiscale Methods

Coming.

Other RTG summer courses