Project Grant 2511403
- This $199,400 Project Grant award from the National Science Foundation (NSF) under the Mathematical and Physical Sciences program (CFDA 47.049) will fund collaborative research to augment continuous data assimilation and perform equation discovery with applications in geophysics. The research aims to develop more accurate predictive models for complex systems like weather, ocean currents, and groundwater flow by systematically adapting and modifying existing physically derived models using...
- 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) Project Grant award under the Mathematical and Physical Sciences (CFDA 47.049) program seeks to advance the understanding of dynamical systems and the evolution from ordered to chaotic behavior. The $249,103 award to the Research Foundation of the City University of New York, effective July 1, 2024 through June 30, 2026, will support research aimed at developing new conceptual ideas, approaches, and theoretical frameworks to transcend the limitations of...
- This $149,989 Project Grant award from the National Science Foundation (NSF) Mathematical and Physical Sciences (CFDA 47.049) program will support research to develop statistical models and inference methods for analyzing random point processes. The research will provide tools for analyzing time series of point process data, with applications in fields such as national security, economics, neuroscience, and geosciences. Key activities include developing parameter estimation procedures,...
- This $240,000 Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) will support research to develop a new modeling framework that integrates data-driven insights with physical laws, enabling more accurate and consistent spatial predictions. The key objectives are to: (1) establish a theoretical foundation for these hybrid models, (2) implement inference and spatial interpolation using finite element methods and basis...
- This $350,000 federal Project Grant was awarded by the National Science Foundation (NSF) under the Mathematical and Physical Sciences (CFDA 47.049) program. The goal of the research is to develop accurate mathematical models and computer simulations for studying non-equilibrium systems with memory effects, such as those found in biosystems, plasma evolution, and solid-state nanostructures. The Principal Investigator will focus on analytical and numerical approaches to statistical transport...
- 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 Computer and Information Science and Engineering (CFDA 47.070) program supports research to develop physics-guided generative artificial intelligence models for inverting chaotic advection-diffusion dynamics. The research aims to enable more accurate source identification from limited observations of complex physical processes like pollution transport, virus spread, and wildfire evolution, which are...
- 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 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 $149,999 Project Grant award from the National Science Foundation's Mathematical and Physical Sciences program (CFDA 47.049) supports research into techniques for identifying hidden or unknown components in nonlinear differential equation models. The research aims to improve modeling and predictive capabilities for complex physical phenomena, such as fluid flows, turbulence, and weather prediction. The award to the Research Foundation of the City University of New York will provide mentorship opportunities for undergraduate and graduate students in mathematics and its applications. The research will leverage observational data, numerical approximations, and modern data-driven methods like physics-informed neural networks to dynamically reconstruct unobserved system states and enhance model accuracy. This work has potential applications across scientific domains experiencing "seemingly chaotic behavior" and "inherent unpredictability." The project will run from Sep 1, 2025 to Aug 31, 2028.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $150.0k | 8/14/25 |