Project Grant 2208159
- 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 $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 $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...
- The National Science Foundation Division of Mathematical Sciences awarded The University of North Carolina at Charlotte a $180,000 Project Grant under the Mathematical and Physical Sciences federal grant program (CFDA 47.049). The three-year award will support research using set-theoretic methods in topology and topological dynamics, providing opportunities for graduate student research training. Specifically, the university will explore the topological consequences of principles related to...
- 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...
- The National Science Foundation awarded North Carolina State University a three-year, $368,594 Project Grant under the Mathematical and Physical Sciences program (CFDA 47.049) to develop new mathematical and computational tools for nonlinear hyperbolic systems of partial differential equations. The university will use the funding to design efficient high-order numerical methods for conservation and balance laws that go beyond consistency, stability, and convergence. Key activities include...
- This $300,000 National Science Foundation Project Grant supports mathematical research into the visibility and invisibility properties of electromagnetic signatures of inhomogeneities. Funded under the Mathematical and Physical Sciences program (CFDA 47.049), the three-year award to Rutgers, The State University will examine how the regularity, geometry and material contents of an inhomogeneity impact its visibility when probed by electromagnetic waves. Specifically, the investigator will...
- The University of California Irvine received a $253,482 Project Grant award from the National Science Foundation Division of Mathematical Sciences on July 1, 2021 to complete work by June 30, 2024. The grant supports research titled "Mathematics of Revealing Inaccessible Objects Using Linear and Nonlinear Waves" under the Mathematical and Physical Sciences program (CFDA 47.049). This award will fund research using mathematical and physical modeling techniques over a three-year period...
- This $141,540 Project Grant awarded by the National Science Foundation's (NSF) Mathematical and Physical Sciences (MPS) program supports research at the University of North Carolina at Chapel Hill (UNC-CH) to develop analytical and computational tools for data-driven applications. The project will focus on signal/image recovery from limited data, exploring how to build effective mathematical models and design efficient algorithms to extract insights. Additionally, the project will integrate...
- This $234,951 federal Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports research into nonlinear partial differential equations and minimal submanifolds in Lagrangian geometry. The project, conducted by the University of North Carolina at Chapel Hill, will generate research opportunities for graduate students and facilitate the mentoring of graduate students and postdocs. The research will focus on two key areas:...
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 requirements. The new methods combine Carleman estimates, the contraction mapping principle, and an algebraic formula to retrieve lost phase information when needed. They will relax initial guess dependencies and reduce computational costs. The university will apply the new methods to partial differential equations governing wave propagation, including the three-dimensional Helmholtz equation and Maxwell's equations. Both simulated and experimental data will be used to test the techniques. Undergraduate and graduate students will receive training through their involvement in the research.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $246.6k | 5/20/22 |