This Project Grant award, totaling $220,000.00, was provided by the National Science Foundation (NSF) under the Mathematical and Physical Sciences Federal Grant Program (CFDA 47.049). The award will fund the development of new fast algorithms for solving Helmholtz and eigenvalue problems, which are crucial for a wide range of engineering and scientific applications, such as the design of optical metamaterials, seismic exploration, and non-destructive aircraft testing. The proposed algorithms, including the Waveholtz and Eigenwave algorithms, aim to solve these computationally challenging problems more efficiently by viewing them as time-periodic solutions of associated wave propagation problems. The project will also focus on extending these algorithms to handle complex geometries, dispersive wave propagation, and multi-domain, multi-physics applications. Additionally, the award will support the development of high-performance open-source software tools to make these advanced simulation capabilities available to the broader research community. The project will be carried out by Rensselaer Polytechnic Institute, a leading private research university, over the period of August 1, 2025 to July 31, 2028.
Mod # | Description | Reason For Modification | Federal Obligation (Click to sort descending) | Date (Click to sort ascending) |
|---|---|---|---|---|
| Not listed | $220.0k | 6/30/25 |