This $299,992 Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program, with a period of performance from July 1, 2025 to June 30, 2028, will fund research to develop novel computational techniques for controlling geometric structures in physical and biological systems. The research objectives include: Advancing the theoretical development of unfitted finite element methods (FEMs) to create robust and user-friendly numerical techniques for...
The National Science Foundation awarded North Carolina State University a three-year, $368,594 Project Grant under the Mathematical and Physical Sciences program (CFDA 47.049) to develop new mathematical and computational tools for nonlinear hyperbolic systems of partial differential equations. The university will use the funding to design efficient high-order numerical methods for conservation and balance laws that go beyond consistency, stability, and convergence. Key activities include...
North Carolina State University received a $106,893 Project Grant award from the National Science Foundation Division of Mathematical Sciences on August 15, 2021 to complete the project by July 31, 2024. The grant funds multiscale simulations and imaging of viscoelastic media within a reduced order model framework. This aligns with the goals of the Mathematical and Physical Sciences program (CFDA 47.049) to advance scientific knowledge and understanding of major problems through mathematical and...
This $362,568 Project Grant award from the National Science Foundation's (NSF) Division of Mathematical Sciences (CFDA 47.049 - Mathematical and Physical Sciences) to Duke University aims to develop advanced computational methods for analyzing mechanical systems with imperfect or uncertain geometries. The project will combine the Shifted Boundary Method (SBM), an immersed geometry computational technique, with Probabilistic Subdivision Surfaces (PSS) to enable robust and efficient computer-aided...
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 Project Grant award from the National Science Foundation (NSF) Mathematical and Physical Sciences (MPS) program in the amount of $199,555 supports collaborative research on stochastic shape processes and inference. Led by a team of investigators from the U.S. and U.K., the project will develop methods for modeling how biological and other shapes change over time, using statistical frameworks to capture shape variations across objects and populations. This research aims to advance the...
This National Science Foundation (NSF) Project Grant under the Mathematical and Physical Sciences (CFDA# 47.049) program will fund a collaborative research effort between U.S. and U.K. investigators to develop new statistical methods for modeling dynamic changes in biological and other complex shapes. The $200,000 award, effective August 1, 2024 through July 31, 2027, will focus on integrating spatiotemporal registration of objects and their evolution into the statistical formulation to enable...
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...
The National Science Foundation (NSF) Division of Mathematical Sciences awarded a $400,000 Project Grant to Duke University on August 1, 2023 under the Mathematical and Physical Sciences program (CFDA 47.049) to support innovative numerical methods for solving high-dimensional partial differential equations (PDEs). The key objectives of the 3-year project are to: (1) design and analyze neural-network parametrization for high-dimensional functions with symmetry constraints, and (2) develop and...
This Project Grant from the National Science Foundation Division of Mathematical Sciences provides $748,840 to The Pennsylvania State University under the Mathematical and Physical Sciences program (CFDA 47.049) from September 1, 2022 to August 31, 2025. The funding supports research into partial differential equations modeling incompressible fluids and elastic solids, with a focus on fluid-structure interaction problems, transport of vectors by fluid flow, and seismic fault monitoring. The...