The University of Alabama was awarded a $248,987 Project Grant from the National Science Foundation Division of Mathematical Sciences under the Mathematical and Physical Sciences program (CFDA 47.049). The grant will fund research from August 2021 through July 2024 to develop implicit solvent modeling and fast algorithms for simulating solutes with atomic polarizable multipoles. The Mathematical and Physical Sciences program aims to advance scientific knowledge and understanding in core...
The National Science Foundation awarded a $412,422 Project Grant to The University Corporation from June 2021 through May 2024 under the Mathematical and Physical Sciences program (CFDA 47.049). The grant funds collaborative research on developing new theory and methods for implicit molecular solvation in ligand and ion binding. The Mathematical and Physical Sciences program aims to advance scientific knowledge and understanding in core disciplines, consistent with the scope of this award to...
The National Science Foundation (NSF) awarded a $643,347 Project Grant under the Mathematical and Physical Sciences (CFDA 47.049) program to the University of Alabama-Tuscaloosa. The grant, awarded on August 15, 2024, supports the research of Dr. Tibor Szilv?si to develop computational tools that enable the design of efficient molecular catalysts. The project focuses on using high-performance computational screening to identify optimal catalyst structures, compositions, and kinetics to...
The National Science Foundation (NSF) awarded a $180,935 Project Grant under the Mathematical and Physical Sciences program (CFDA 47.049) to the University of Alabama. The grant, awarded on August 1, 2023, will fund research into cell decompositions of quiver grassmannians, which are related to cluster algebras. This research aims to provide a topological explanation for positivity in cluster algebras, which have connections to various areas of mathematics, physics, and other fields. The project...
This Project Grant award for $249,454, provided by the National Science Foundation (NSF) under the Mathematical and Physical Sciences (CFDA 47.049) program, supports research conducted by the University of Alabama in two areas within mathematical analysis: harmonic analysis and partial differential equations. The key objectives are to expand knowledge in harmonic analysis and its applications to the study of partial differential equations, as well as to provide education and mentoring...
This $224,608 Project Grant award, made by the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049), supports collaborative research on stochastic functional systems. The research aims to (i) explore long-term properties of stochastic functional differential equations, (ii) formulate new approaches to study fundamental properties of McKean-Vlasov stochastic functional differential equations, and (iii) propose a framework for functional stochastic...
This $319,951 Project Grant, awarded by the National Science Foundation (NSF) Division of Mathematical Sciences, supports the development and analysis of new computational methods for studying complex fluid systems on deforming surfaces. The key products and services to be delivered through this 3-year award include: Developing and analyzing a finite element method for tangential fluid systems on moving surfaces, a multi-component surface flow problem, and a fluid-elastic interface model to...
This $229,965 Project Grant from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) will support research at the University of Notre Dame focused on developing mathematical theory and numerical methods for the diffuse interface method applied to coupled fluid dynamics systems. Over a three year period from September 2022 through August 2025, the grantee will study a hierarchy of coupled flow models including fluid-porous medium interaction,...
This three-year $525,000 Project Grant from the National Science Foundation's Mathematical and Physical Sciences program (CFDA 47.049) supports research into the structure, dynamics, and transport properties of charged macromolecular systems in aqueous solutions. The grantee, University of Massachusetts at Amherst, will investigate the hierarchical organization and non-diffusive dynamics of polyzwitterions, as well as forces controlling coacervate gel composite formation and phase behavior,...
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...