Project Grant 2510272
- This $300,000 Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports fundamental research on inverse boundary value problems and related mathematical techniques. The key research areas include: Electrical impedance tomography (EIT) for determining the conductivity of materials by making voltage and current measurements at the boundary. The research will address challenges in EIT such as partial data, anisotropic...
- This Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences (CFDA 47.049) program will support research focused on geometric inverse problems and dynamics. The $335,956 award to the University of Washington will center on the study of inverse problems involving transport-type partial differential equations, with applications in areas like X-ray computed tomography, geophysical prospection, and parameter identification for PDEs. The project will...
- This three-year, $170,000 National Science Foundation Mathematical and Physical Sciences Project Grant will support research into new geometric inverse problems arising from seismology at North Carolina State University. The award seeks to advance the mathematical theory of seismology by posing and solving increasingly complex and realistic inverse problems modeling planetary interiors. Specifically, the grantee will investigate non-Riemannian travel time problems considering both complete and...
- This $275,000 Project Grant awarded by the National Science Foundation's (NSF) Division of Mathematical Sciences supports the development of novel approaches to solving inverse problems. The goal is to enhance the accuracy and efficiency of computational methods used in critical applications like electrical impedance tomography, inverse scattering, and cryo-electron microscopy. This research has the potential to accelerate breakthroughs in molecular biology and rapid drug development, directly...
- This $250,000 two-year Project Grant from the National Science Foundation's Mathematical and Physical Sciences Directorate (CFDA 47.049) funds research at Rochester Institute of Technology to develop direct variational methods for solving inverse problems governed by differential equation models using full-field data. Specifically, the award supports advancing the Direct Error in Constitutive Equations formulation for determining wave speed from time-harmonic wave field observations of a...
- This National Science Foundation (NSF) Project Grant award to Rowan University, under the Mathematical and Physical Sciences program (CFDA 47.049), provides $212,933 from September 1, 2023 to August 31, 2025 to develop and implement new robust and computationally efficient inversion algorithms for inverse medium scattering problems. The project aims to advance inverse scattering theory, which plays a key role in technologies such as medical imaging, geophysical exploration, and unexploded...
- 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 $300,000 federal Project Grant awarded by the National Science Foundation (NSF) under the Mathematical and Physical Sciences program (CFDA 47.049) is focused on conducting research related to inverse problems in Lorentzian geometry, the inverse problem for minimal surfaces, and nonlinear wave propagation. The principal investigator at Purdue University will study the recovery of Lorentzian metrics from measurements of light or particle propagation, the recovery of Riemannian geometry from...
- The National Science Foundation (NSF) awarded a $200,000 Project Grant under the Mathematical and Physical Sciences (CFDA 47.049) federal grant program to Purdue University. The grant, titled "Qualitative Reconstruction Methods for Inverse Biharmonic Scattering," focuses on studying qualitative reconstruction methods for nondestructive testing in thin elastic plates. The research has two main components: 1) studying the direct and inverse scattering problems of a thin elastic plate,...
- 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 (NSF) Mathematical and Physical Sciences program (CFDA 47.049) provides $200,000 to North Carolina State University (NC State) to conduct research on "Inverse Problems for Hyperbolic Partial Differential Operators - Wave-Based Imaging Techniques". The research focuses on developing a stronger understanding of the mathematical theory behind seismology and ultrasonography, with a particular emphasis on time-dependent material parameters and anisotropic mediums. This research has applications in geophysical and medical industries that utilize wave-based imaging techniques, such as seismic exploration for oil, gas, and mineral deposits, as well as medical ultrasonography. The project aims to advance the mathematical foundations underlying these wave-based imaging techniques and their applications. The award period runs from September 1, 2025, through August 31, 2028.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $200.0k | 8/22/25 |