Project Grant 2208404
- This Project Grant award of $314,416, provided by the National Science Foundation (NSF) through the Mathematical and Physical Sciences program (CFDA 47.049), supports fundamental and applied research across three main areas: elliptic optimal control problems, elliptic problems with rough coefficients, and fully nonlinear elliptic partial differential equations. The research aims to develop computational tools and analyses relevant for applications in fields such as engineering, materials...
- This $415,862 Project Grant from the National Science Foundation's Mathematical and Physical Sciences program (CFDA 47.049) supports quantitative studies of solutions to partial differential equations at Louisiana State University from July 2022 through June 2025. The Principal Investigator will conduct research on upper bounds for nodal and singular sets of Laplace operators on smooth surfaces, bounds on nodal sets of eigenfunctions in periodic elliptic homogenization, and quantitative unique...
- This Project Grant award of $273,892 from the National Science Foundation's Mathematical and Physical Sciences program (CFDA 47.049) supports research on the quantitative properties of solutions to partial differential equations (PDEs). The Principal Investigator at Louisiana State University will study the sizes of the level sets of eigenfunctions for various PDE models, investigate quantitative propagation of smallness, and apply these findings to other subjects. The research aims to advance...
- This federal Project Grant award from the National Science Foundation (NSF) under the Mathematical and Physical Sciences (CFDA 47.049) program provides $215,830 in funding to Louisiana State University (LSU) from July 1, 2025 to June 30, 2028. The project focuses on problems in harmonic analysis related to partial differential equations on curved spaces, with a specific focus on the Schrödinger equation in quantum mechanics. The principal investigator (PI) will investigate the regularity...
- This Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) in the amount of $209,999 supports research on the theoretical understanding of partial differential equations arising from physics and how kinetic models can elaborate on the shortcomings of original scientific theories. The research project, conducted by Louisiana State University, consists of four main components: 1) establishing the well-posedness and conditional...
- Louisiana State University was awarded a $150,000 Project Grant from the National Science Foundation Division of Mathematical Sciences on July 15, 2021 to complete work by June 30, 2024. The grant funds the development of optimization methods for nonconvex structured optimization problems under the Mathematical and Physical Sciences program (CFDA 47.049). This program aims to advance mathematical and physical sciences and strengthen the national scientific enterprise through increasing...
- The National Science Foundation (NSF) awarded a $285,669 Project Grant under the Mathematical and Physical Sciences (CFDA 47.049) federal grant program to Louisiana State University. The grant will fund a research project titled "Adaptive Sampling for Scientific Machine Learning: Algorithms and Applications" from July 2025 through June 2028. The project aims to establish a unified framework for adaptive sampling techniques to enhance scientific machine learning algorithms. This will...
- Louisiana State University received a $198,664 Project Grant award from the National Science Foundation Division of Mathematical Sciences on July 1, 2021 to support research activities through June 30, 2024. The award is being used to fund the "DIFFUSIVE REGULARIZATION IN KINETIC AND FLUID EQUATIONS" project under the Mathematical and Physical Sciences program (CFDA 47.049). This program aims to promote progress in the mathematical and physical sciences to strengthen the Nation's...
- This Project Grant award from the National Science Foundation's Division of Mathematical Sciences, under the Mathematical and Physical Sciences program (CFDA 47.049), provides $200,000.00 to Louisiana State University (LSU) to conduct research on learning methods for complex stochastic systems modeled by stochastic differential equations. The 3-year project aims to develop rigorous mathematical results to assess the accuracy of learning algorithms for these types of intricate systems, which have...
- This Project Grant award from the National Science Foundation (CFDA 47.049 - Mathematical and Physical Sciences) provides $299,992.00 to Louisiana State University to optimize geometric structures in physical and biological systems. The research will investigate optimal swimming motions of microorganisms to better understand their behavior and enable new approaches for actuating mechanical systems in fluids, such as underwater robotics. The project will also create new computational tools for...
This National Science Foundation project grant of $361,251 will support research at Louisiana State University from July 1, 2022 to June 30, 2025 under the Mathematical and Physical Sciences program (CFDA 47.049). The university will investigate novel numerical schemes for least squares problems involving elliptic partial differential equations that model steady state problems in science and engineering. This includes developing finite element methods for least squares problems in data fitting with infinite parameters and for solving nonlinear equations with infinite unknowns. Specifically, researchers will focus on elliptic distributed optimal control problems with state and control constraints, and solving fully nonlinear elliptic boundary value problems with convexity constraints on solutions. Outcomes aim to provide new tools for engineering design and materials science as well as methodologies for image processing and data analytics. Graduate students will also gain research experience through involvement in this work examining interplay among elliptic PDEs, optimization, and finite element techniques.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $361.3k | 5/26/22 |