Award Abstract # 1840260
RTG: Modeling and Computations for Complex Systems at Southern Methodist University

NSF Org: DMS
Division Of Mathematical Sciences
Recipient: SOUTHERN METHODIST UNIVERSITY
Initial Amendment Date: March 19, 2019
Latest Amendment Date: April 29, 2024
Award Number: 1840260
Award Instrument: Continuing Grant
Program Manager: Stacey Levine
slevine@nsf.gov
 (703)292-2948
DMS
 Division Of Mathematical Sciences
MPS
 Directorate for Mathematical and Physical Sciences
Start Date: August 1, 2019
End Date: July 31, 2026 (Estimated)
Total Intended Award Amount: $2,315,143.00
Total Awarded Amount to Date: $2,315,143.00
Funds Obligated to Date: FY 2019 = $300,053.00
FY 2020 = $415,634.00

FY 2021 = $529,047.00

FY 2022 = $531,292.00

FY 2023 = $539,117.00
History of Investigator:
  • Alejandro Aceves (Principal Investigator)
    aaceves@smu.edu
  • Wei Cai (Co-Principal Investigator)
  • Andrea Barreiro (Co-Principal Investigator)
Recipient Sponsored Research Office: Southern Methodist University
6425 BOAZ ST RM 130
DALLAS
TX  US  75205-1902
(214)768-4708
Sponsor Congressional District: 24
Primary Place of Performance: Southern Methodist University
6425 BOAZ
Dallas
TX  US  75275-0302
Primary Place of Performance
Congressional District:
32
Unique Entity Identifier (UEI): D33QGS3Q3DJ3
Parent UEI: S88YPE3BLV66
NSF Program(s): APPLIED MATHEMATICS,
COMPUTATIONAL MATHEMATICS,
WORKFORCE IN THE MATHEMAT SCI
Primary Program Source: 01002021DB NSF RESEARCH & RELATED ACTIVIT
01002122DB NSF RESEARCH & RELATED ACTIVIT

01002324DB NSF RESEARCH & RELATED ACTIVIT

01001920DB NSF RESEARCH & RELATED ACTIVIT

01002223DB NSF RESEARCH & RELATED ACTIVIT
Program Reference Code(s): 7301
Program Element Code(s): 126600, 127100, 733500
Award Agency Code: 4900
Fund Agency Code: 4900
Assistance Listing Number(s): 47.049

ABSTRACT

Mathematical modeling and computation are of critical importance in addressing contemporary scientific and engineering challenges. By providing to junior scholars the opportunity to work in interdisciplinary teams of mathematicians, engineers, chemists and neuro-scientists studying complex, large scale systems, the Southern Methodist University Research Training Group (SMU-RTG) will develop the trainees skills in modeling and computation. In addition, the SMU-RTG will increase the number of US citizens and permanent residents undertaking advanced studies in computational and applied mathematics and pursuing careers both in and out of academia. The SMU-RTG will pursue this goal through the formation of three vertically-integrated research training groups, each of which will partner SMU mathematicians with scientists in other disciplines. Moreover, by partnering on a summer undergraduate research program with the University of Texas Rio Grande Valley (UTRGV - a Hispanic-serving institution), more students from underrepresented groups will be encourage to undertake graduate studies in STEM fields.

The research groups involved in the SMU-RTG will address challenging problems in emerging scientific fields: data-driven models in neuroscience, the nonlinear dynamics of the electric power grid and other large-scale networks, and the fabrication and modeling of nanoscale structures. The research activities will create opportunities for the trainees through strategic partnerships with both academic and non-academic institutions: UT Southwestern Medical Center, DOE laboratories, and SMU Engineering. A centerpiece of the year-round activities will be a 10-week summer undergraduate research program with participants from both SMU and UTRGV. Each group will begin its program with a 2-week summer school, which will introduce undergraduates, graduate students and postdocs to fundamental concepts and techniques used by one of the research groups. This activity will provide exciting and substantive research experiences to students of all backgrounds. The Department of Mathematics at SMU is well-positioned to execute both the research and educational goals of this project, building on its core strengths in modeling and scientific computing and its ongoing success in placing graduates in a range of careers, from industry to national laboratories. The research themes reflect both the department's existing strengths and pressing societal needs, carrying out research that will contribute to improved understanding of the human brain in both health and disease, the reliability of crucial infrastructure, and novel devices with applications in medicine and beyond.

This award reflects NSF's statutory mission and has been deemed worthy of support through evaluation using the Foundation's intellectual merit and broader impacts review criteria.

PUBLICATIONS PRODUCED AS A RESULT OF THIS RESEARCH

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(Showing: 1 - 10 of 19)
Parker, R and Germain, P and Cuevas_Maraver, J and Aceves, A and Kevrekidis, PG "Standing and traveling waves in a minimal nonlinearly dispersive lattice model" Physica D Nonlinear phenomena , 2024 Citation Details
Parker, R and Germain, P and Cuevas_Maraver, J and Aceves, A and Kevrekidis, PG "Standing and traveling waves in a minimal nonlinearly dispersive lattice model" Physica D Nonlinear phenomena , 2024 Citation Details
Craciun, Gheorghe and Tran, Minh-Binh "A reaction network approach to the convergence to equilibrium of quantum Boltzmann equations for Bose gases" ESAIM: Control, Optimisation and Calculus of Variations , v.27 , 2021 https://doi.org/10.1051/cocv/2021079 Citation Details
Evans, Tyler and Norris, Scott "Swelling as a stabilizing mechanism in irradiated thin films: II. Effect of swelling rate" Journal of Physics: Condensed Matter , v.34 , 2022 https://doi.org/10.1088/1361-648X/ac75a3 Citation Details
Parker, Ross and Aceves, Alejandro "Multi-pulse solitary waves in a fourth-order nonlinear Schrödinger equation" Physica D: Nonlinear Phenomena , v.422 , 2021 https://doi.org/10.1016/j.physd.2021.132890 Citation Details
Parker, Ross and Aceves, Alejandro and Cuevas-Maraver, Jesús and Kevrekidis, P. G. "Floquet solitons in square lattices: Existence, stability, and dynamics" Physical Review E , v.105 , 2022 https://doi.org/10.1103/PhysRevE.105.044211 Citation Details
Parker, Ross and Barreiro, Andrea K. "Bifurcations of a Neural Network Model with Symmetry" SIAM Journal on Applied Dynamical Systems , v.21 , 2022 https://doi.org/10.1137/22M1470451 Citation Details
Parker, Ross and Aceves, Alejandro and Cuevas_Maraver, Jesus and Kevrekidis, PG "Standing and traveling waves in a model of periodically modulated one-dimensional waveguide arrays" Physical review E , 2023 Citation Details
Melland, Pake and Curtu, Rodica "Attractor-Like Dynamics Extracted from Human Electrocorticographic Recordings Underlie Computational Principles of Auditory Bistable Perception" The Journal of Neuroscience , v.43 , 2023 https://doi.org/10.1523/JNEUROSCI.1531-22.2023 Citation Details
Parker, Ross and Kevrekidis, P G and Aceves, Alejandro "Stationary multi-kinks in the discrete sine-Gordon equation" Nonlinearity , v.35 , 2021 https://doi.org/10.1088/1361-6544/ac3f8d Citation Details
Parker, Ross and Shen, Yannan and Aceves, Alejandro and Zweck, John "Spatiotemporal dynamics in a twisted, circular waveguide array" Studies in Applied Mathematics , v.149 , 2022 https://doi.org/10.1111/sapm.12511 Citation Details
(Showing: 1 - 10 of 19)

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