Project Grant 2409807
- This $300,000 Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports fundamental research aimed at advancing the mathematical analysis of nonlinear partial differential equations. The research has three main focus areas: (1) studying fluid dynamics problems with free boundaries, such as water waves, tsunamis, and hurricanes; (2) investigating the dynamics of gases and plasmas under physical kinetic boundary conditions,...
- This Project Grant award from the National Science Foundation's Mathematical and Physical Sciences (CFDA 47.049) program provides $140,889 to Texas A&M University to conduct research connecting machine learning and numerical methods for partial differential equations. The key objectives are to leverage deep learning techniques to improve numerical methods for PDEs, and apply the theoretical understanding of finite element methods to better comprehend the success of deep neural networks....
- This Project Grant award of $150,000.00 from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports research into the asymptotic behavior of partial differential equations (PDEs) across a range of scientific applications. The Principal Investigator (PI) will investigate long-term propagation and front structure in reaction-diffusion equations, analyze limits of stochastic PDEs in physical systems, and study the effects of viscosity on shock...
- This $249,956 Project Grant was awarded by the National Science Foundation (NSF) through the Mathematical and Physical Sciences (CFDA 47.049) federal grant program. The grant supports the development and analysis of finite element methods for solving nonlinear stochastic partial differential equations (SPDEs), with a focus on improving the reliability of simulations in fields such as weather science, energy systems, and aerospace engineering. Key applications include modeling fluid turbulence,...
- This Project Grant award from the National Science Foundation (NSF) under the Mathematical and Physical Sciences program (CFDA 47.049) provides $236,282 to the University of Kansas Center for Research Inc. to study the dynamics of partial differential equations (PDEs) in bounded domains. The project will yield a universal methodology for analyzing PDEs in one and higher spatial dimensions, addressing fundamental questions about the existence, uniqueness, and stability of solutions. It will...
- The National Science Foundation (NSF) awarded a $299,998 Project Grant under the Mathematical and Physical Sciences (CFDA 47.049) federal grant program to Georgia Tech Research Corporation to conduct fundamental research on the dynamics of nonlinear partial differential equation (PDE) systems that model fluid flow and nonlinear waves. The research will focus on analyzing the local dynamics near steady states in incompressible fluid PDEs with free surfaces, as well as a class of nonlinear...
- This Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences (CFDA 47.049) program is supporting research by The Trustees of Columbia University in the City of New York to advance the theoretical understanding of partial differential equations, free boundary problems, and related mathematical concepts. The $273,927 award, with a performance period from July 1, 2024 to June 30, 2027, focuses on developing new methods and regularity theories for specific...
- This $268,602 federal Project Grant award from the National Science Foundation's Mathematical and Physical Sciences program (CFDA 47.049) supports an interdisciplinary research project led by the Regents of the University of Michigan. The research aims to develop new mathematical tools based on partial differential equations (PDEs) and apply them to address practical challenges in mathematical finance and game theory. Key focus areas include: 1) using infinite-dimensional PDEs to demonstrate...
- This $399,998 Project Grant awarded by the National Science Foundation (NSF) Division of Mathematical Sciences, under the Mathematical and Physical Sciences (CFDA 47.049) federal grant program, aims to develop new nonlinear solution methods for solving systems of partial differential equations (PDEs). The proposed research seeks to create "lifted Newton nonlinear preconditioning" techniques that can improve the convergence of iterative solvers for severely nonlinear PDE problems, which...
- This Project Grant award from the National Science Foundation (CFDA 47.049 - Mathematical and Physical Sciences) is focused on developing novel mathematical theories and computational methods to efficiently solve high-dimensional partial differential equations (PDEs) and learn PDE solution operators using deep neural network-based approaches. The $100,000 award to the Georgia State University Research Foundation Inc. will support research across three key objectives: (1) supervised learning...
This $399,583 federal Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences (CFDA 47.049) program supports research to develop numerical algorithms that can estimate solutions to partial differential equations (PDEs) without full boundary condition information. The research aims to enable improved modeling and forecasting capabilities across various applications, including meteorology, biology, and engineering design. The primary awardee, Texas A&M University, will design, analyze, and implement numerical methods to construct approximate solutions to PDEs using available physical measurements, even when complete boundary conditions are not known. This work seeks to uncover new mathematical tools and techniques for addressing this challenging problem. The project has potential for far-reaching scientific impact through advancements in areas like weather forecasting, biological pathway discovery, and commercial product design. The award will fund this 3-year research effort from October 2024 through September 2027.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $399.6k | 6/3/24 |