Project Grant 2509722
- 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 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 $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 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 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...
- 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 $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 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...
- This $150,000 federal Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports research on advances in inverse electromagnetic scattering theory for complex periodic media, including photonic and chiral photonic crystals. The project aims to simulate wave-material interactions and reconstruct defects in these materials using measurements of the scattered waves. This research will contribute to the study of the direct and...
- The National Science Foundation (NSF) awarded a $270,000 Project Grant under the Mathematical and Physical Sciences Program (CFDA 47.049) to the Trustees of Indiana University for the project "Bayesian Methodologies for PDE Parameter Estimation: Model Problems, Algorithm Development and Applications." The project aims to develop advanced statistical methods to estimate unknown physical parameters from complex, sparse, and noisy data sets by incorporating first-principles physics into...
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, and 2) investigating the associated transmission eigenvalue problems. This work aims to develop computationally simple yet analytically rigorous algorithms for recovering defects in thin elastic materials, with applications in areas like geomagnetic anomaly detection and medical imaging. The project will also involve the training of graduate students to contribute to this research. The award period is from Aug 15, 2025, to Jul 31, 2028.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $200.0k | 8/14/25 |