Project Grant 2607830
- The University of Texas at Austin received a three-year, $340,000 Project Grant from the National Science Foundation's Mathematical and Physical Sciences program to develop mathematical tools for studying the stability theory of hyperbolic conservation laws. These laws model physical systems involving shocks or discontinuities in fluid and gas dynamics. The university will investigate the uniform stability of viscous approximations like the Navier-Stokes equation to mitigate shock...
- The National Science Foundation Division of Mathematical Sciences awarded the University of Texas at Austin $320,000 on August 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to develop fast randomized algorithms for solving large-scale computational simulations in electromagnetic device design, radar and sonar modeling, medical imaging, materials science, and molecular simulation. The project addresses a core computational challenge: physical systems generate...
- This $124,914 project grant from the National Science Foundation Division of Mathematical Sciences, under the Mathematical and Physical Sciences program (CFDA 47.049), will fund collaborative research between U.S. and U.K. mathematicians to develop innovative methods for studying stability questions in nonlinear partial differential equations across scales. The University of Texas at Austin will partner with other institutions to conduct research, workshops, and student involvement from August...
- Federal Project Grant Award Summary The University of Texas at Austin received a $199,998 Project Grant from the National Science Foundation's Division of Mathematical Sciences under the Mathematical and Physical Sciences program (CFDA 47.049) awarded on August 15, 2025, with completion targeted for July 31, 2028. This award funds fundamental mathematical research addressing collisional kinetic theory and the behavior of interacting particle systems across multiple scales. The project advances...
- Federal Project Grant Award Summary The University of Texas at Austin received a $300,000 Project Grant from the National Science Foundation (NSF) Division of Mathematical Sciences under the Mathematical and Physical Sciences program (CFDA 47.049), awarded July 15, 2025, with completion anticipated by June 30, 2028. The grant supports research into large systems of interacting particles and waves and their effective equations, with particular focus on advancing mathematical models that...
- The University of Texas at Austin was awarded a $405,278 Project Grant from the National Science Foundation Office of Advanced Cyberinfrastructure under the Computer and Information Science and Engineering program (CFDA 47.070) to develop methods for simulating Stokesian complex fluid flows. The award period is from September 1, 2022 to August 31, 2025. Under this grant, the University will design high-performance computing algorithms that integrate dimension reduction and deep learning...
- This $401,620 Project Grant was awarded by the National Science Foundation (NSF) under the Mathematical and Physical Sciences (CFDA 47.049) federal grant program. The grant will fund theoretical and computational research by the University of Texas at Austin into two key areas: 1) the behavior and characteristics of supersonic cracks in solids, which has implications for understanding earthquake dynamics, and 2) modeling and predicting fingering instabilities in two-phase fluid flow, with...
- This National Science Foundation Project Grant of $229,021 awarded on August 1, 2022 will support research at the University of Texas at Austin to develop mathematical frameworks in optimal transport applications to probability, machine learning, and kinetic theory through July 31, 2025. Under the Mathematical and Physical Sciences program (CFDA 47.049), the investigator will advance understanding of stochastic modeling, artificial intelligence algorithms, and kinetic theory by exploiting...
- The National Science Foundation awarded The University of Texas at San Antonio $429,040 on September 15, 2025, under the Mathematical and Physical Sciences program (CFDA 47.049) to develop computationally efficient hypercomplex variable-based sensitivity methods for rapid digital twin model updating. The project addresses a critical bottleneck in digital twin applications: existing methods for updating digital models with real-world data operate too slowly for real-time use. The research...
- This $425,512 National Science Foundation Project Grant supports research at the University of Texas at Austin to develop tools for analyzing the statistical behavior of non-amenable group actions by generalizing ergodic theory. Funded under the Mathematical and Physical Sciences program (CFDA 47.049), the three-year award running from May 2022 to April 2025 will pursue measuring equivalence relations and sofic entropy theory for non-amenable groups. Specific goals include classifying normal...
The National Science Foundation Division of Mathematical Sciences awarded the University of Texas at Austin $270,000 on January 15, 2027, under the Mathematical and Physical Sciences program to develop entropy-stable high-order finite element numerical methods for unsteady compressible flows. The project addresses computational bottlenecks in existing high-order structure-preserving methods for computational fluid dynamics by extending entropy-stable schemes to complex and non-ideal thermodynamic regimes—including non-ideal equations of state and thermally perfect gases—and constructing robust and efficient continuous spectral element methods. The work aims to produce simulation tools that are both highly accurate and inherently stable for modeling fluid and gas behavior at high speeds, with applications to aircraft design, advanced manufacturing, and national defense technologies. The project will also train undergraduate students and contribute to the development of high-performance open-source software. Performance occurs in Austin, Texas through December 31, 2029. No sub-awards are planned.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $270.0k | 8/7/26 |