---------------------------------------------------------------------------------
Program Overview
Introduction:
This summer 2018 research experience for undergraduate (REU) is funded by the Mathematical Association of America (MAA) through its NSF funded national program NREUP. The REU supports four UTRGV's junior students with a stipend of $3,850 along with bed-and-board. Besides the directors of the REU, two graduate assistants, supported by the college of sciences and school of mathematical and statistical sciences at UTRGV, are going to work on training the students.
The REU is going to be held from July 2, 2018 to August 24, 2018.
Students, in this REU, are working collaboratively in groups on research projects in Applied Mathematics that will culminate in the submission of a peer-reviewed paper coauthored jointly with the PI and Co-PIs. The program provides the students with educational and research skills and experiences, and with graduate school exam preparations to better prepare them for graduate school. The main emphasis of the program focuses on the areas of stochastic partial differential equations and numerical analysis with emphasis in MATLAB training. Participating faculty members are going to give research seminars to the group.
Statement of Problem:
The students, in this REU, are going to study stochastic Burgers equation (SBE) with variable coefficients.
Students will also work on a system of SBE and derive conditions for the existence of its solution under certain conditions imposed on the coefficients. The directors of the REU and students will work together to find analytical solutions using Riccati equations and simulate the solutions.
---------------------------------------------------------------------------------
People
Directors:
- Dr. Tamer Oraby (tamer.oraby(@)utrgv(.)edu)
- Dr. Erwin Suazo (erwin.suazo(@)utrgv(.)edu)
- Dr. Jasan Yoon (jasang.yoon(@)utrgv(.)edu)
Participants (UTRGV):
- Stephanie Flores
- Elijah Hight
- Jose Palacio
- Everardo Vargas
Graduate Assistants:
- Mr. Jose Galarza
Speakers:
- Dr. Kun Gou, Texas A&M - San Antonio, Modeling Human Airway Swelling by the Deep Power of Fundamental Mathematics. (August 10, 2018)
---------------------------------------------------------------------------------
Schedule
First four weeks:
9:00-10:30 | 10:45-12:15 | 12:15-1:30 | 1:30-3:00 | 3:15-4:45 | 5:30 - 7: 00 | |
| Monday | ODE and PDE | Stochastic Processes | Lunch period | Graph Theory | Numerical Solution | Work session |
| Tuesday | ODE and PDE | Stochastic Processes | Lunch period | Graph Theory | Numerical Solution | Work session |
| Wednesday | ODE and PDE | Stochastic Processes | Lunch period | Graph Theory | Numerical Solution | Work session |
| Thursday | ODE and PDE | Stochastic Processes | Lunch period | Graph Theory | Numerical Solution | Work session |
| Friday | ODE and PDE | Stochastic Processes | Lunch period | Graph Theory | Numerical Solution | Work session |
Second four weeks:
9:00-10:30 | 10:45-12:15 | 12:15-1:30 | 1:30-3:00 | 3:15-4:45 | 5:30 - 7: 00 | |
| Monday | Research seminar | Work session | Lunch period | Work session | Work session | Work session |
| Tuesday | Grad school preparation | work session | Lunch period | Work session | Work session | Work session |
| Wednesday | Research seminar | Work session | Lunch period | Work session | Work session | Work session |
| Thursday | Grad school preparation | Work session | Lunch period | Work session | Work session | Work session |
| Friday | Active search for grad schools | Work session | Lunch period | Work session | Work session | Work session |
---------------------------------------------------------------------------------
Publications
Flores, S., Hight, E., Olivares-Vargas, E., et. al. (2019). Exact and numerical solution of stochastic Burgers equations with variable coefficients. To appear in Discrete and Continuous Dynamical Systems, series S.
Hight, E., Oraby, T., Palacio, J., Suazo, E. (2019). On persistence of superoscillations for the
Schrödinger equation with time-dependent quadratic Hamiltonians. To appear in Mathematical Methods in the Applied Sciences.
---------------------------------------------------------------------------------
Presentations
Oral Presentations
Flores, S. at SIAM TX-LA sectional meeting, 2018.
Palacio, J. at SIAM TX-LA sectional meeting, 2018.
Hight, E., and Palacio, J. at UTRGV, 2019.
Poster Presentations
Palacio, J. at SACNAS 2019 (Hawai.)
--------------------------------------------------------------------------------
Thanks to ...
School of Mathematical and Statistical Sciences
&
College of Sciences