This $420,000 Project Grant award from the National Science Foundation (NSF) Mathematical and Physical Sciences (CFDA 47.049) program supports the development of new numerical algorithms for simulating complex multiscale, multiphysics systems. The primary awardee, Virginia Polytechnic Institute & State University (Virginia Tech), will construct a novel hybrid time integration framework to enable accurate and efficient co-simulation of systems governed by time-dependent partial differential...
This $200,000 Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences (CFDA 47.049) program supports the development of efficient and accurate algorithms for modeling acoustic and electromagnetic wave propagation in complex domains. The primary goals are to create robust algorithms using high-frequency integral equations, microlocal and numerical analysis, asymptotic methods, and finite element techniques. This work aims to enhance the simulation of...
This Project Grant from the National Science Foundation's Mathematical and Physical Sciences program totaling $111,529 will support the development of computational simulation tools for numerical methods applied to wave equations in time and frequency domains at Michigan State University from October 1, 2021 through May 31, 2022. The Principal Investigator will create new methods that leverage time domain approaches to design frequency domain Helmholtz solvers, representing the underlying linear...
Virginia Polytechnic Institute & State University (Virginia Tech) was awarded a three-year, $104,000 Project Grant from the National Science Foundation Division of Mathematical Sciences under the Mathematical and Physical Sciences federal grant program (CFDA 47.049). The grant will support collaborative research on Bayesian inversion approaches to partial differential equations, including theory development, algorithm design, and application of these methods. The Mathematical and Physical...
The National Science Foundation awarded a $127,441 Project Grant to Virginia Polytechnic Institute & State University on March 15, 2021 with a completion date of August 31, 2022. The grant is part of NSF's Engineering program (CFDA 47.041) to improve quality of life and economic strength through engineering research and education. Under this award, Virginia Tech will conduct research to understand and leverage nonlinear effects in acoustic holograms. The Engineering program seeks to foster...
The National Science Foundation (NSF) awarded a $200,000 Project Grant under the Mathematical and Physical Sciences program (CFDA 47.049) to Virginia Polytechnic Institute & State University (Virginia Tech) to fund research on disordered quantum matter. The three-year grant, active from August 1, 2023 to July 31, 2026, will support Virginia Tech's work to develop an underlying mathematical theory to better understand the properties of materials that could play a crucial role in creating...
This National Science Foundation (NSF) Division of Chemical, Bioengineering, Environmental, and Transport Systems Project Grant, under the Engineering (47.041) program, provides $354,541 to Virginia Polytechnic Institute & State University (Virginia Tech) from August 15, 2023 to July 31, 2026. The funding supports research into using multi-frequency ultrasound wave fields to organize and orient particles dispersed in a fluid medium into specific, non-periodic patterns. The research aims to...
This $162,490 federal Project Grant awarded by the National Science Foundation's (NSF) Division of Mathematical Sciences will fund collaborative research at Virginia Polytechnic Institute & State University (Virginia Tech) to develop advanced, memory-efficient algorithms and solvers for high-dimensional imaging applications such as medical imaging and video compression. The project aims to achieve significant improvements over existing state-of-the-art methods by leveraging data properties...
This Project Grant from the National Science Foundation's Division of Mathematical Sciences, under the Mathematical and Physical Sciences program (CFDA 47.049), provides $209,000 to the University of Pittsburgh to support research investigating nonlinear waves in lattices and metamaterials from August 1, 2022 to July 31, 2025. The award aims to advance fundamental understanding of energy transfer phenomena associated with wave propagation in spatially discrete systems, which is important for...
This $326,187 National Science Foundation Project Grant supports research into the complex dynamics of large spatially-extended systems with long-range interactions. Funded under the NSF Engineering Directorate's $47.041 million Engineering program, the three-year award to Virginia Polytechnic Institute & State University will advance understanding of nonlinear dynamics in systems of societal importance like the atmosphere, oceans, and distributed networks. Principal investigators will use...