The Georgia Institute of Technology Research Corporation (Georgia Tech) will receive $307,710 under a three-year Project Grant from the National Science Foundation (NSF) Division of Mathematical Sciences. The grant falls under the NSF Mathematical and Physical Sciences program (CFDA 47.049), which aims to strengthen the nation's scientific enterprise through increased understanding of major problems. Specifically, Georgia Tech will develop novel formulations and rigorous error estimates for...
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...
The National Science Foundation awarded a $239,999 Project Grant under the Mathematical and Physical Sciences program (CFDA 47.049) to the Georgia Tech Research Corporation from September 15, 2022 to August 31, 2025. The grant funds research to develop mathematical theories and efficient algorithms for multi-marginal optimal transport problems with graphical costs. Specifically, the principal investigator will establish a unified framework for these problems by merging concepts from optimal...
This Project Grant award, with a total funding amount of $166,285, was provided by the National Science Foundation (NSF) under the Mathematical and Physical Sciences (CFDA 47.049) federal grant program. The award supports the development of new mathematical approaches for analyzing complex bifurcations in high-dimensional dynamical systems. This work aims to enable quantitative and qualitative progress in the study of data-driven, detailed, and phenomenologically-reduced models with complex...
This $120,000 Project Grant from the National Science Foundation's Mathematical and Physical Sciences program (CFDA 47.049) supports research at the University of Georgia to develop nonlinear control and observer designs for flow-transport systems. The three-year award beginning August 15, 2022 will fund the investigation of feedback control approaches to understand mass transport, fluid mixing, and their asymptotic behaviors in flow advection. The research aims to advance knowledge of...
This $186,811 Project Grant was awarded by the National Science Foundation's (NSF) Division of Mathematical Sciences to Georgetown University on September 1, 2024. The grant supports research on "Analytical Challenges Near Dynamical Thresholds for Nonlinear Wave and Fluid Equations" over a 3-year period through August 31, 2027. The research aims to develop a deeper understanding of the mathematical behavior of partial differential equations that model a variety of physical systems,...
This NSF-funded project grant under the Mathematical and Physical Sciences (CFDA 47.049) program aims to advance the fields of geometric machine learning and numerical partial differential equations (PDEs). The $121,190 award to Emory University, spanning from August 2024 to July 2027, will focus on improving the scalability of graph neural network (GNN) algorithms to handle large datasets and accelerating numerical PDE simulations using GNN components. The research team will develop...
The Georgia Tech Research Corporation was awarded a $315,000 Project Grant from the National Science Foundation Division of Mathematical Sciences under the Mathematical and Physical Sciences federal grant program (CFDA 47.049) to conduct research on curves and surfaces in geometry. Over the two-year period from May 2022 to April 2025, the Principal Investigator and collaborators will engage in a range of activities to advance fundamental open questions in the geometry of curves and surfaces,...
The University of Georgia Research Foundation, Inc. received a $315,000 Project Grant award from the National Science Foundation Division of Mathematical Sciences under the Mathematical and Physical Sciences federal grant program (CFDA 47.049) to develop an efficient, parameter uniform and robust fluid solver in porous media with complex geometries. Through this award spanning September 2023 to August 2026, UGA Research Foundation will advance the state of the art by designing a low-cost,...
This three-year project grant from the National Science Foundation's Mathematical and Physical Sciences program (CFDA 47.049) provides $378,158 to Carnegie Mellon University to develop mathematical tools for data science and signal processing applications. Specifically, the awardee will investigate transportation-based geometries and gradient flows to provide sampling methods that leverage data geometry and can be accurately approximated in high dimensions. They will study ensemble methods...