Project Grant 2205694
- This National Science Foundation (NSF) Project Grant award under the Mathematical and Physical Sciences program (CFDA 47.049) will fund research at Carnegie Mellon University (CMU) on mean-field and singular limits of deterministic and stochastic interacting particle systems. The $187,382 award, with a performance period from July 1, 2023 to May 31, 2025, aims to achieve a substantial reduction in computational complexity for modeling the behavior of large numbers of interacting particles,...
- Federal Grant Award Summary The National Science Foundation (NSF) Division of Mathematical Sciences awarded $300,000 through the Mathematical and Physical Sciences program (CFDA 47.049) to The Pennsylvania State University for a three-year project grant (August 1, 2025 – July 31, 2028). The award supports fundamental research in partial differential equations (PDEs) with a focus on developing theoretical approaches to analyze large systems of interacting particles beyond the classical mean-field...
- 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 $360,000 Project Grant awarded by the National Science Foundation (NSF) under the Mathematical and Physical Sciences program (CFDA 47.049) supports research on the quantum dynamics of near-one-dimensional systems at The Pennsylvania State University (Penn State). The PI will develop theoretical tools to quantitatively model and analyze experiments on ultracold atomic gases confined to one dimension, with a focus on understanding the far-from-equilibrium dynamics and emergent hydrodynamic...
- This $236,727 Project Grant from the National Science Foundation's Mathematical and Physical Sciences program (CFDA 47.049) supports theoretical and computational research on quantum phases of matter. The awardee, The Pennsylvania State University, will conduct numerical simulations and develop new computational algorithms to study magnetism and strongly correlated electron systems. Additional projects include investigating quantum phase transitions in two-dimensional spin models and quantum...
- This $300,000 Project Grant from the National Science Foundation's Division of Mathematical Sciences, under the Mathematical and Physical Sciences program (CFDA 47.049), will support the development of next-generation mathematical and algorithmic tools to address two key issues in applying machine learning to statistical modeling of time-evolving complex systems: a shortage of informative training data and the high computational costs of high-dimensional problems. Specifically, the...
- This three-year $200,000 Project Grant from the National Science Foundation's Mathematical and Physical Sciences program (CFDA 47.049) will support research into nonlinear dynamics and their applications to physical systems. The grantee, The Pennsylvania State University, will conduct three related research projects aiming to discover new phenomena of fundamental mathematical and physical relevance. The first project will study resonances in area-preserving cylinder maps, building on prior...
- The National Science Foundation (NSF) awarded a $187,593 Project Grant under the Mathematical and Physical Sciences (CFDA 47.049) program to the University of Arizona, doing business as the Arizona Board of Regents. This 3-year effort, starting on August 1, 2024, seeks to develop novel modeling and simulation approaches for complex material systems. Key objectives include: Utilizing machine learning, mathematical techniques, and physical principles to construct models that provide more realistic...
- This $202,091 Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences (CFDA 47.049) program supports research on interacting particle systems and related models in statistical mechanics. The primary awardee, Barnard College, will conduct studies focused on three main directions: the analysis of log-gases, investigations of the Kardar-Parisi-Zhang equation, and the examination of traffic models. The research aims to achieve a better understanding of the...
- The Trustees of the University of Pennsylvania received a $346,661 Project Grant award from the National Science Foundation under the Mathematical and Physical Sciences program (CFDA 47.049). The grant will fund analysis of nonlinear partial differential equations in free boundary fluid dynamics, mathematical biology, and kinetic theory from June 2021 through May 2024. As part of advancing the NSF's mission to promote progress in the mathematical and physical sciences, the University will use...
This $300,000 Project Grant from the National Science Foundation's Mathematical and Physical Sciences program (CFDA 47.049) will support the development of new frameworks for studying large multi-agent and many-particle systems at Penn State University from August 2022 through July 2025. The grantee aims to reduce complexity in systems with very large numbers of non-identical, non-exchangeable agents or particles by replacing exact interactions with a mean field approximation. Novel methods will be introduced to analyze singular interactions without assuming indistinguishability, enabling applications involving multi-species physics models and biological neural networks. The award also provides research training for graduate students. This work aligns with the NSF's mission to strengthen the nation's scientific enterprise through increased understanding of major problems.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $300.0k | 8/2/22 |