Project Grant 2213493
- 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 $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 $269,999 federal Project Grant awarded by the National Science Foundation (NSF) Division of Mathematical Sciences under the Mathematical and Physical Sciences (CFDA 47.049) program supports research to develop novel inverse scattering techniques for complex materials with applications in areas such as renewable energy, medical diagnosis, underground exploration, infrastructure integrity, and advanced manufacturing. The primary objectives are to investigate non-iterative approaches for...
- This Project Grant from the National Science Foundation Division of Mathematical Sciences provides $303,127 under the Mathematical and Physical Sciences program (CFDA 47.049) to the University of Rochester from July 2022 through June 2025. The funding supports research using multilinear operators and microlocal analysis to improve non-invasive imaging modalities in electrical impedance tomography, synthetic aperture radar, and seismic imaging. Specifically, the investigator will work on four...
- This National Science Foundation (NSF) Division of Mathematical Sciences grant award to Drexel University provides $270,000 over three years to develop new data-driven inversion methods and image reconstruction algorithms for nonlinear media with applications in radar, medical imaging, and optical design. The key innovations include using data to generate compact wave propagation models for efficient image reconstruction, expanding the applicability to large and noisy data sets, and developing...
- This $270,000 Project Grant award from the National Science Foundation (NSF) Mathematical and Physical Sciences (CFDA 47.049) program supports research at the University of California, Irvine (UC Irvine) to develop novel mathematical methods for investigating inverse problems related to the recovery of anisotropic medium parameters from measurements taken at the exterior or boundary. The project aims to leverage nonlocality, nonlinearity, and high frequencies as tools to tackle significant and...
- 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 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 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 Project Grant from the National Science Foundation's Division of Mathematical Sciences, under the Mathematical and Physical Sciences program (CFDA 47.049), provides $246,641 to The University of North Carolina at Charlotte to develop new theoretical techniques for the identification of unknown targets occluded inside a medium from external measurements alone. The techniques aim to quickly and reliably estimate occluded targets in an optimization-free manner without a priori knowledge...
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 scalar wave inverse problem. The research aims to analyze the well-posedness and data requirements of this approach. It also seeks to recruit graduate students, including those from underrepresented groups in STEM, to help grow the university's Math Modeling PhD program and disseminate findings. The work focuses on challenges in medical imaging where efficient inverse solutions are critical for disease detection and diagnosis using increasingly available full-field interior data.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $250.0k | 3/29/22 |