Project Grant 2609213
- The National Science Foundation Directorate for Mathematical and Physical Sciences awarded Tulane University $219,999 on August 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to conduct research in asymptotic analysis, probability theory, and Riemann-Hilbert problems with application to understanding extreme events in complex systems. The project investigates how large-scale, unexpected events arise in mathematically governed systems, including rogue waves modeled...
- The National Science Foundation Division of Mathematical Sciences awarded Louisiana State University $250,000 on September 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to develop theory and numerical methods for computing solutions to the fracture initial value problem through blended modeling of dynamic and quasistatic fracture. The work addresses computational and theoretical gaps in predicting damage and fracture patterns in complex structural geometries under...
- The National Science Foundation Division of Mathematical Sciences awarded The Trustees of Princeton University $300,000 on August 15, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to study nonlinear phenomena in fluids and plasmas with applications to fusion research and astrophysics. The research addresses mathematical models and computational approaches to three core problems. The project includes a novel mathematical study of radiation effects on plasma dynamics;...
- The National Science Foundation Division of Mathematical Sciences awarded $254,073 to the Board of Regents of the University of Nebraska on August 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to develop foundational mathematical theory for poroelastic filtration systems. The award supports a three-year collaborative research project (period of performance through July 31, 2029) centered on regularity, stability, and control of coupled partial differential equations...
- This National Science Foundation (NSF) Integrative Activities program Project Grant award of $212,174 provides a fellowship to an assistant professor at Tulane University and supports a graduate student. The project will develop new implicit general linear methods for solving stiff systems arising from the discretization of partial differential equations, with a focus on additively and nonlinearly partitioned problems. The methods will be designed to leverage modern preconditioning techniques....
- This $138,732 National Science Foundation Division of Mathematical Sciences Project Grant supports research into instability, chaos, and mixing in stochastic fluid mechanics and related models at Tulane University from August 1, 2022 to July 31, 2025. The research aims to develop mathematical tools to rigorously prove exponential sensitivity to initial conditions for various fluid mechanics models in the presence of small noise, gaining new insights into the unstable nature of fluid motion and...
- The National Science Foundation Division of Mathematical Sciences awarded the Board of Regents of the University of Nebraska $299,873 on July 15, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to develop mathematical frameworks for nonlocal boundary interactions in complex systems. The project will establish analytical and computational foundations for boundary-driven nonlocal dynamics, developing nonlocal trace, flux, and boundary transmission operators; proving...
- The National Science Foundation Division of Mathematical Sciences awarded Purdue University $200,000 on September 1, 2026, for mathematical research across fluid dynamics, kinetic theory, and quantum field theory under the Mathematical and Physical Sciences program (CFDA 47.049). The research will develop mathematical understanding of partial differential equations governing large-scale physical behavior in systems underlying weather prediction, aerodynamics, plasma physics, and materials...
- This $300,000 Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports fundamental research aimed at advancing the mathematical analysis of nonlinear partial differential equations. The research has three main focus areas: (1) studying fluid dynamics problems with free boundaries, such as water waves, tsunamis, and hurricanes; (2) investigating the dynamics of gases and plasmas under physical kinetic boundary conditions,...
- The National Science Foundation Division of Mathematical Sciences awarded Rensselaer Polytechnic Institute $269,117 on August 15, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to develop mathematical foundations and computational methods for simulating quantum materials. The award funds development of a rigorous and scalable framework for high-accuracy electronic-structure simulation of quantum materials using periodic coupled-cluster theory, addressing current...
The National Science Foundation Division of Mathematical Sciences awarded $426,101 to Tulane University on September 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to develop nonlinear splitting techniques for modeling and control of complex systems governed by high-dimensional partial differential equations. The project focuses on generalizing splitting methods—computational techniques that reduce simulation cost by decomposing problems into subproblems solvable more efficiently—to handle nonlinear couplings that conventional additive splitting approaches cannot separate. Current splitting techniques degrade in accuracy, stability, and efficiency when physical processes interact nonlinearly, as they do in inertial confinement fusion equations and many other realistic large-scale systems. The research will develop new mathematical and computational techniques applicable to simulation and optimization problems across scientific and engineering disciplines, with particular emphasis on equations arising from inertial confinement fusion as a fusion energy approach. The project includes research training opportunities for graduate students. Performance runs through August 31, 2029, at Tulane University in New Orleans, Louisiana.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $426.1k | 8/11/26 |