Project Grant 2331890
- This National Science Foundation (NSF) Mathematical and Physical Sciences (CFDA 47.049) Project Grant award of $275,939 to The Trustees of Smith College supports a research project investigating topics in the theory of partial differential equations in the setting of non-smooth spaces. The project will study sub-Riemannian analogues of the curve shortening flow, the regularity of solutions of certain degenerate elliptic parabolic partial differential equations and non-local partial...
- This $100,000 Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) aims to develop novel mathematical theories and computational methods for efficiently solving high-dimensional partial differential equations (PDEs) and learning PDE solution operators using deep neural network-based approaches. The research project at Georgia State University Research Foundation focuses on three interrelated objectives: (1) a supervised...
- This National Science Foundation (NSF) Project Grant award for $200,000.00, under the Mathematical and Physical Sciences program (CFDA 47.049), aims to develop novel mathematical theories and computational methods to efficiently solve high-dimensional partial differential equations (PDEs) and learn PDE solution operators using deep neural network-based approaches. The key objectives include a supervised learning method for solving high-dimensional Hamilton-Jacobi equations, a parameter control...
- 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 National Science Foundation (NSF) project grant under the Mathematical and Physical Sciences program (CFDA 47.049) of $304,102 awarded to Saint Mary's College of California provides funding for a partnership between the PI and the Institute for Pure and Applied Mathematics (IPAM) to advance undergraduate research experiences in matroid theory. The key activities include: 1) formalizing the partnership between Saint Mary's College and IPAM, including the PI's participation in IPAM's 2024...
- This Project Grant award from the National Science Foundation (NSF) Division of Mathematical Sciences (CFDA 47.049 - Mathematical and Physical Sciences) supports research focused on addressing fundamental questions in partial differential equations and optimization theory. The $291,367 award, spanning July 2024 to June 2027, will advance the Principal Investigator's work on characterizing extremal functions for Morrey's inequality, studying solutions to the pressureless Euler system, and...
- This Project Grant award from the National Science Foundation (NSF) under the Mathematical and Physical Sciences program (CFDA 47.049) provides $249,956 to support research on developing rigorous and reliable numerical methods to approximate solutions of nonlinear stochastic partial differential equations (SPDEs). The research aims to improve the reliability of simulations in fields such as weather science, energy systems, and aerospace engineering. Specifically, the project focuses on...
- This Project Grant award of $150,000.00 from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports research into the asymptotic behavior of partial differential equations (PDEs) across a range of scientific applications. The Principal Investigator (PI) will investigate long-term propagation and front structure in reaction-diffusion equations, analyze limits of stochastic PDEs in physical systems, and study the effects of viscosity on shock...
- This Project Grant award from the National Science Foundation's Mathematical and Physical Sciences (CFDA 47.049) program provides $140,889 to Texas A&M University to conduct research connecting machine learning and numerical methods for partial differential equations. The key objectives are to leverage deep learning techniques to improve numerical methods for PDEs, and apply the theoretical understanding of finite element methods to better comprehend the success of deep neural networks....
- The National Science Foundation (NSF) awarded a $689,835 Project Grant under its Mathematical and Physical Sciences (CFDA 47.049) program to Brown University. The grant, with a performance period from December 1, 2024 to November 30, 2027, supports research focused on developing machine learning approaches for solving long-standing open problems in nonlinear partial differential equations, including dispersive, elliptic, and geometric frameworks. The project aims to unlock new mathematical...
This National Science Foundation (NSF) Project Grant award under the Integrative Activities program (CFDA 47.083) provides $159,433 to Spelman College, a historically Black college for women, to enhance research capacity in applied mathematics for undergraduates and faculty. The project aims to foster research collaborations in numerical partial differential equations (PDEs) by engaging with the Institute for Computational and Experimental Research in Mathematics (ICERM) semester program. It will expose Spelman faculty to ICERM's programs, offer undergraduate research opportunities, and support curriculum development in numerical PDEs. The research focus is on developing higher order numerical approaches to model spinodal decomposition, the separation of binary mixtures into two phases. The project will explore incorporating machine learning techniques to evolve the model over time. Overall, the award combines cutting-edge research with initiatives to encourage Black women to pursue graduate degrees in applied mathematics.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $159.4k | 8/18/23 |