This $450,000 project grant from the National Science Foundation (NSF) Division of Physics will fund the development of machine learning-augmented density functional theory (DFT) tools to enable faster and more accurate quantum simulations of warm dense plasmas. Under the Mathematical and Physical Sciences program (CFDA 47.049), the University of Rochester will receive funding from August 15, 2022 to July 31, 2025. The project aims to advance finite-temperature exchange-correlation functionals...
The National Science Foundation awarded a $148,729 Project Grant to the California Institute of Technology under the Mathematical and Physical Sciences federal grant program (CFDA 47.049) to develop an open-source community computational code for multi-scale, multi-physics problems in astrophysics and gravitational physics. The code, known as Elements, will utilize discontinuous Galerkin methods and task-based parallelism to solve dynamical Einstein equations on exascale computing...
This $220,000 National Science Foundation (NSF) Mathematical and Physical Sciences (CFDA 47.049) Project Grant awarded to the University of Washington aims to develop ultra-efficient deterministic numerical methods for multiscale kinetic plasma simulations. The primary objective is to address key challenges in simulating plasmas governed by the Boltzmann equation, including high dimensionality, complex collision operators, and inherent multiscale behaviors. The research will focus on employing...
This Project Grant from the National Science Foundation's Mathematical and Physical Sciences Directorate provides $250,000 to Wichita State University to support the development of an efficient numerical framework for phase-field models through August 2024. The university will investigate high order symplectic Runge-Kutta methods and discontinuous Galerkin spatial discretization techniques to robustly simulate interfacial dynamics in complex geometries. It will also compare computational...
This three-year Project Grant from the National Science Foundation's Mathematical and Physical Sciences program, totaling $704,826, supports research into many-particle systems with singular interactions at New York University from June 2023 through May 2026. The research focuses on rigorously deriving effective laws and theories for collective behavior in systems of particles interacting with singular forces like the Coulomb force. Specific aims include obtaining convergence results for...
This three-year, $354,239 National Science Foundation project grant supports theoretical research at Purdue University to advance understanding of universal few-body quantum systems and interactions. Specifically, the Mathematical and Physical Sciences grant will develop quantitative descriptions of three to five particle systems, such as atoms, molecules, nucleons or quarks, to extract new insights into universal behavior and predict phenomena. The effort will apply computational methods like...
The National Science Foundation Division of Mathematical Sciences awarded a $150,000 Project Grant to The University Corporation to support the development of fast methods for solving the Boltzmann equation through reduced order models, machine learning, and optimal transport from September 1, 2021 to August 31, 2024. This award supports research under the Mathematical and Physical Sciences program (CFDA 47.049), which aims to promote progress in the mathematical and physical sciences and...
This National Science Foundation (NSF) award under the Mathematical and Physical Sciences Federal Grant Program (CFDA 47.049) provides $529,482 to the University of Rochester to develop the theory and simulation of the emergent properties of matter when driven or "dressed" by lasers. The project aims to: (a) Develop a Floquet theory and simulation scheme to model the optical absorption properties of realistic laser-dressed solids, in order to make experimentally testable predictions...
This $439,516 National Science Foundation award under the Mathematical and Physical Sciences program (CFDA 47.049) supports a collaborative research project at the University of Washington from September 2022 through August 2025. The project aims to develop a state-of-the-art hydrodynamic galaxy simulation code to study the complex interplay between stellar winds and outflows from star formation with the circumgalactic medium surrounding massive galaxies. Researchers will incorporate a subgrid...
This five-year $154,264 Project Grant from the National Science Foundation's Mathematical and Physical Sciences program (CFDA 47.049) supports research and educational activities at Drexel University related to uncertainty quantification, long-time statistics, and singularity formation in fluid flow models. The Principal Investigator will address topics including parameter recovery from sparse noisy observations using Bayesian inverse problems and Markov chain Monte Carlo algorithms applied to...