The National Science Foundation (NSF) Division of Mathematical Sciences awarded a $148,832 Project Grant to The Trustees of Columbia University in the City of New York, operating as Columbia University, to develop fast, low-memory numerical methods for solving the radiative transfer equation. This three-year grant, under NSF's Mathematical and Physical Sciences program (CFDA 47.049), aims to overcome the computational challenges associated with the high dimensionality of the radiative transfer...
The National Science Foundation (NSF) Division of Astronomical Sciences awarded a $420,110 Project Grant to the University of Wisconsin - Madison to "Explore Magnetic Fields on the Largest Scales." The 3-year award, beginning September 1, 2023, will fund research to develop a new "Gradient Technique" to map magnetic field directions in galaxy cluster "megahalos" - massive magnetic fields spanning millions of light years. The research aims to (1) test theories of the...
This $300,000 Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences (CFDA 47.049) program supports research on the interaction of neutrinos with their background particles and with each other in astrophysical environments. The award was made to the University of Wisconsin System's University of Wisconsin - Madison division, operating as Research and Sponsored Programs, with a performance period from August 1, 2024 to July 31, 2027. The key research...
The University of Wisconsin-Madison received a three-year, $276,575 Project Grant from the National Science Foundation Division of Astronomical Sciences under the Mathematical and Physical Sciences program (CFDA 47.049). The grant will support collaborative research titled "Absorption and Emission Line Probes of Galactic Winds with EBOSS" from September 1, 2021 through August 31, 2024. The research aims to promote progress in mathematical and physical sciences by increasing knowledge...
This Project Grant award of $365,000.00 from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) will support a collaborative research project between the University of Notre Dame, Brown University, and ETH Zurich in Switzerland. The project aims to develop advanced numerical methods, including discontinuous Galerkin schemes, to enable high-fidelity, long-term simulations of magnetohydrodynamic and radiation hydrodynamic processes relevant to...
This Project Grant award, totaling $150,000.00, was provided by the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) to support research on asymptotic phenomena in partial differential equations (PDEs) arising in various scientific applications. The principal investigator will investigate the long-time behavior of solutions to reaction-diffusion equations in heterogeneous and random environments, study the long-time and white-noise limits of physically...
This $275,000 Project Grant awarded by the National Science Foundation's (NSF) Division of Mathematical Sciences supports the development of novel approaches to solving inverse problems. The goal is to enhance the accuracy and efficiency of computational methods used in critical applications like electrical impedance tomography, inverse scattering, and cryo-electron microscopy. This research has the potential to accelerate breakthroughs in molecular biology and rapid drug development, directly...
The National Science Foundation (NSF) Division of Astronomical Sciences awarded a $349,660 Project Grant to the University of Wisconsin - Madison (UW-Madison) under the NSF's Mathematical and Physical Sciences program (CFDA 47.049). The grant will fund a three-year research project to develop novel probabilistic machine learning techniques, such as normalizing flows, to model cosmological data from upcoming galaxy surveys. The goal is to enable more precise measurements of fundamental physics...
This $185,163 Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences Program (CFDA 47.049) supports the development of scalable Gaussian process methods for spatial statistics and machine learning. The project aims to create a universal toolbox for highly accurate and computationally efficient Gaussian process modeling to enable improved data analysis, prediction, and uncertainty quantification across diverse applications like carbon monitoring,...
This $456,714 federal Project Grant award, provided by the National Science Foundation (NSF) under the Mathematical and Physical Sciences (CFDA 47.049) program, supports a study of large-scale self-organization in three-dimensional shear-flow-driven magnetized plasma turbulence. The project, led by the University of Wisconsin - Madison, aims to use computer simulations to explore how magnetic fields are created and become smooth in turbulent plasma systems, such as those observed in fusion...
The National Science Foundation (NSF) Division of Mathematical Sciences awarded a $350,000 Project Grant titled "COLLABORATIVE RESEARCH: BREAKING THE 1D BARRIER IN RADIATIVE TRANSFER: FAST, LOW-MEMORY NUMERICAL METHODS FOR ENABLING INVERSE PROBLEMS AND MACHINE LEARNING EMULATORS" to the University of Wisconsin - Madison under the Mathematical and Physical Sciences Program (CFDA 47.049).
The project aims to develop fast, low-memory numerical methods to solve the full radiative transfer equation, which has applications in medical imaging, astrophysics, weather, and climate modeling. The key products and services to be delivered include:
New computational methods based on discontinuous Galerkin spectral element methods and hp-adaptive mesh refinement to efficiently solve the forward and inverse radiative transfer problems.
Theoretical analysis and software tools to enable these new methods.
Training of a postdoctoral researcher and students in the interdisciplinary fields of mathematics and atmospheric science.
Outreach activities to K-12 schools to broaden participation in these fields.
The award period is from September 1, 2023 to August 31, 2026.