This Project Grant from the National Science Foundation's Division of Mathematical Sciences, under the Mathematical and Physical Sciences program (CFDA 47.049), provides $432,301 to Purdue University to study nonlinear wave phenomena and related inverse problems from June 1, 2022 to May 31, 2025. The grantee will analyze propagation of waves for nonlinear optics, acoustics, and elasticity phenomena described by quasilinear partial differential equations. They will exploit specific natures of...
Purdue University was awarded a $100,000 Project Grant from the National Science Foundation Division of Mathematical Sciences under the Mathematical and Physical Sciences program (CFDA 47.049) for the period of August 1, 2022 through July 31, 2025. The grant will support the development of novel approaches for large-scale inverse problems through collaborative research merging tools from inverse problems with randomized numerical linear algebra and sparse principal component analysis. Key...
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 National Science Foundation (NSF) Project Grant award supports research at Purdue University focused on stochastic processes and their geometric properties, particularly in sub-Riemannian geometry. The $210,000 award, which runs from July 2023 through June 2026, falls under NSF's Mathematical and Physical Sciences program (CFDA 47.049). The research integrates techniques from probability, analysis, and differential geometry to investigate how the underlying geometric space influences the...
This $204,372 federal Project Grant award from the National Science Foundation (NSF) under the Mathematical and Physical Sciences program (CFDA 47.049) supports research on the potential theoretic aspects of complex geometry. The principal investigator will employ methods from potential theory, infinite-dimensional geometry, and geometric analysis to investigate a cluster of interconnected questions and conjectures in complex geometry. The project aims to advance scientific knowledge in this...
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 of $199,995.00 from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) will support research at the University of Cincinnati focused on identifying and characterizing emergent asymptotic phenomena in nonlinear wave models. The key objectives are to develop quantitative information on nonlinear wave behavior in regimes not accessible through current methods, including mechanisms behind anomalously slow decay in solutions to...
The National Science Foundation Division of Mathematical Sciences awarded a $190,838 project grant to Purdue University on July 15, 2021 with a completion date of June 30, 2024. The grant supports research titled "NEW SAMPLING ALGORITHMS AND INVERSE SPECTRAL METHODS IN SCATTERING" under the Mathematical and Physical Sciences program (CFDA 47.049). This project aims to develop new sampling algorithms and inverse spectral methods for scattering problems. The Mathematical and Physical...
This National Science Foundation (NSF) Mathematical and Physical Sciences program Project Grant, with CFDA number 47.049, totaling $203,648.00, provides funding to Purdue University from August 15, 2024 to July 31, 2027. The award supports the development of a mathematical framework to derive tractable reduced-order models that effectively capture the dynamics of complex turbulent systems, such as atmospheric and oceanic flows, controlled plasma fusion, and other engineering applications. The...