Project Grant 2530211
- This $225,329 federal Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences Program (CFDA 47.049) supports research on stochastic partial differential equations (SPDEs) and their applications. The 5-year project, beginning on July 1, 2025, will investigate critical challenges in SPDE theory, including the stochastic heat equation, the parabolic Anderson model, and the Kardar-Parisi-Zhang equation under conditions of rough initial data and diverse...
- 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...
- This $300,000 federal Project Grant awarded by the National Science Foundation (NSF) under the Mathematical and Physical Sciences (CFDA 47.049) program supports fundamental mathematical and computational research on complex stochastic systems with infinite degrees of freedom. The project aims to develop new theoretical frameworks and analytical techniques for studying the asymptotic behavior of stochastic partial differential equations (SPDEs) with multiple scales and conservation laws. The...
- 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 $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 National Science Foundation (NSF) Mathematical and Physical Sciences (CFDA 47.049) Project Grant award of $169,408, starting on June 1, 2024 and ending on August 31, 2026, supports research at the University of North Carolina at Chapel Hill (UNC-CH) on nonlinear stochastic partial differential equations and their applications. The project aims to develop a mathematical understanding of these equations, which arise in complex dynamic phenomena like global economic shifts and turbulent...
- This $216,000 Project Grant award from the National Science Foundation (NSF) Integrative Activities program (CFDA 47.083) supports a comprehensive research initiative led by Oklahoma State University (OSU) to investigate the steady states and stability of nonlinear partial differential equations (PDEs) in fluids and interacting particle systems. The primary goals are to develop an analytical framework for understanding the existence, singular behavior, and stability of these steady states, which...
- This Project Grant from the National Science Foundation Division of Mathematical Sciences provides $292,823 in funding from August 1, 2022 to July 31, 2025 under the Mathematical and Physical Sciences program (CFDA 47.049). The award supports research and training at the University of Chicago on nonlinear partial differential equations with stochastic dependence, homogenization in random media, well-posedness in singular domains, mean-field games, and convergence of growth models. Key areas of...
- The National Science Foundation (NSF) awarded a $420,000 Project Grant under the Mathematical and Physical Sciences Federal Grant Program (CFDA 47.049) to the University of Maryland, College Park for the project "Nonlinear Geometric PDEs: Modeling, Analysis and Approximation". The objective of this 3-year grant, awarded on August 1, 2025 and running through July 31, 2028, is to develop predictive computational tools for modeling, analyzing, and approximating nonlinear geometric partial...
- 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 $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, chemotaxis in biological systems, and stochastically forced nonlinear wave equations. The primary goal is to build mathematically rigorous tools for computing individual sample paths and quantities of stochastic interest with quantifiable accuracy. The project, titled "LEAPS-MPS: Strong Convergence of Numerical Methods for Solving Nonlinear Stochastic PDEs," will be conducted by the University of Texas Rio Grande Valley over 24 months from Sep 1, 2025 to Aug 31, 2027.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $250.0k | 7/18/25 |