Project Grant 2529316
- Southern Methodist University (SMU) was awarded a three-year, $390,000 Project Grant from the National Science Foundation Division of Mathematical Sciences under the Mathematical and Physical Sciences federal grant program (CFDA 47.049). Through this award, SMU will develop efficient numerical algorithms to simulate wave equations for nonlinear and multiscale problems. Specific activities include improving discretization methods for general second-order hyperbolic systems, constructing effective...
- This $525,259 Project Grant award from the National Science Foundation (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports a collaborative research project on "Reduced Order Modeling and Data Assimilation for Wave-Dominated Systems with Applications to Digital Twins in Ultrasonics". The project aims to develop fast, accurate computational algorithms to simulate how high-frequency waves, such as shock waves or focused ultrasound, propagate through complex,...
- This $200,000 Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences (CFDA 47.049) program supports the development of efficient and accurate algorithms for modeling acoustic and electromagnetic wave propagation in complex domains. The primary goals are to create robust algorithms using high-frequency integral equations, microlocal and numerical analysis, asymptotic methods, and finite element techniques. This work aims to enhance the simulation of...
- This Project Grant award of $350,000 from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports the development of robust and efficient numerical algorithms for solving nonlinear wave equations. The project aims to advance fundamental research and enable wide-ranging applications in areas such as geophysics, plasma physics, and quantum science, where accurate wave prediction is critical. The primary computational challenges being addressed...
- This $343,612 Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) will support the development of novel numerical methods and computational tools for solving complex physical problems involving nonlinearities and spatially-varying media. The project aims to create fast, high-fidelity simulation capabilities that can advance scientific understanding and enable new technological innovations, thereby strengthening U.S....
- This Project Grant award from the National Science Foundation's Mathematical and Physical Sciences program (CFDA 47.049) provides $283,456 to Virginia Polytechnic Institute & State University (Virginia Tech) to develop computational simulation tools that improve the ability to exploit the properties of wave propagation for applications such as medical diagnostics, structural health monitoring, and advanced materials design. The research will focus on advancing the "WaveHoltz"...
- This federal Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences Program (CFDA 47.049) focuses on developing new frequency domain modeling techniques for analyzing high-dimensional time series data. The $177,718 award to Southern Methodist University (SMU) will fund research to create a new modeling framework that enables dimension reduction and correlation analysis of large, complex time series datasets across disciplines such as neuroscience,...
- Southern Methodist University was awarded a $348,805 Project Grant from the National Science Foundation Division of Mathematical Sciences under the Mathematical and Physical Sciences program (CFDA 47.049) to develop machine learning technology with deep neural networks to study oscillatory Navier-Stokes flows, nonlinear operators, and high dimensional Fokker-Planck equations. The university will research and develop multiscale deep neural network algorithms as a meshless method for solving...
- This $575,000 Project Grant awarded by the National Science Foundation (NSF) under the Mathematical and Physical Sciences program (CFDA 47.049) supports a collaborative research effort between the University of Nevada, Reno and Oxford University in the United Kingdom. The project aims to study the properties of materials under extreme conditions, such as those found in planetary cores or high-energy industrial processes, by imaging the propagation of sound waves through the materials to...
- This $350,000 federal Project Grant was awarded by the National Science Foundation (NSF) under the Mathematical and Physical Sciences (CFDA 47.049) program. The goal of the research is to develop accurate mathematical models and computer simulations for studying non-equilibrium systems with memory effects, such as those found in biosystems, plasma evolution, and solid-state nanostructures. The Principal Investigator will focus on analytical and numerical approaches to statistical transport...
This federal Project Grant award from the National Science Foundation (NSF) under the Mathematical and Physical Sciences grant program (CFDA 47.049) provides $354,485 to Southern Methodist University (SMU) to develop fast, accurate computational algorithms that simulate how high-frequency waves, such as shock waves or focused ultrasound, propagate through complex, heterogeneous materials. The key objectives are to construct reduced-order models that can capture the essential wave propagation dynamics between hundreds of wavelengths, enabling real-time simulations for applications like noninvasive medical procedures that use sound waves to target diseased tissues. Beyond the immediate medical applications, the research aims to produce broadly applicable computational tools for predicting and controlling complex physical systems in real-time, with potential uses in areas like biotechnology, materials testing, environmental monitoring, and national defense. The project will also provide multidisciplinary training opportunities for graduate students in applied mathematics, computation, and engineering.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $354.5k | 8/8/25 |