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 $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 $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 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...
Rutgers, The State University received a $249,000 Project Grant award from the National Science Foundation Division of Mathematical Sciences on August 1, 2021 to pursue a new approach to imaging by waves through July 31, 2024. The grant is part of the NSF's Mathematical and Physical Sciences program (CFDA 47.049), which aims to promote progress in these fields and strengthen the nation's scientific enterprise through increasing knowledge and enhancing understanding of major problems. Under the...
The National Science Foundation awarded Kansas State University a $198,480 Project Grant under the Mathematical and Physical Sciences program (CFDA 47.049) to develop novel sampling methods for solving electromagnetic inverse scattering theory problems. The university will use the three-year award funding, issued on August 1, 2022, to support research into new non-iterative sampling algorithms for reconstructing unknown scattering objects from electromagnetic field data. The principal...
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 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 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...
The National Science Foundation (NSF) awarded a $152,862 Project Grant under its Mathematical and Physical Sciences program (CFDA 47.049) to Rutgers, The State University of New Jersey - Newark Division. The grant will fund research focused on addressing open problems in geometric analysis and exploring their applications in fields such as geometry, topology, and mathematical physics. Key objectives include developing novel approaches in the regularity theory for linear and fully nonlinear...