Project Grant 2529317
- 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...
- 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 $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 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 Project Grant award from the National Science Foundation (NSF) Mathematical and Physical Sciences program (CFDA 47.049) provides $183,980 to support research on the theoretical and algorithmic foundations of novel medical imaging modalities at the University of Arizona. The research aims to advance the underlying mathematics and image reconstruction algorithms for emerging modalities like photoacoustic tomography, magnetoacoustoelectric tomography, and ultrasound current density imaging....
- 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...
- The National Science Foundation (NSF) Engineering program (CFDA 47.041) awarded a $134,514 Project Grant to the Board of Regents of the University of Nebraska, operating as the University of Nebraska, to conduct research on "Collaborative Research: Ultrasound Driven Microbubble Clusters for Biomedical Applications" beginning May 1, 2024. The project aims to investigate the relationship between acoustically generated force fields, deformable vessel wall mechanics, and bubble oscillation...
- This $200,000 Project Grant awarded by the National Science Foundation (NSF) under the Mathematical and Physical Sciences Federal Grant Program (CFDA 47.049) supports research on linear partial differential equations in settings with singular spaces, such as wave propagation in discontinuous media. The principal investigator at Northwestern University will investigate fundamental questions regarding the behavior of wavefunctions in quantum mechanics and acoustic waves in media with non-smooth...
- 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...
- The National Science Foundation awarded a $200,000 Project Grant to the University of Chicago under the Engineering (47.041) federal grant program. The grant will support the creation of two open-source, high-performance computing-enabled deep learning frameworks to significantly improve the reconstruction speed and quality of full waveform inversion-based ultrasound computed tomography. One framework will incorporate adjoint tomography theory into a generative adversarial network to...
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, heterogeneous materials. This research could enable more accurate and responsive medical treatments using noninvasive ultrasound technologies, ultimately improving clinical outcomes and reducing costs. Beyond the medical applications, the research addresses a broader national need for advanced computational tools to predict and control complex physical systems in real-time, with potential uses in biotechnology, materials testing, environmental monitoring, and national defense. The project is being led by the California Institute of Technology (Caltech) and will provide multidisciplinary training for graduate students working at the intersection of applied mathematics, computation, and engineering.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $525.3k | 8/8/25 |