Office: ECOT 335
Email: adrianna.gillman (at) colorado.edu
Office hours: By appointment
Office: ECOT 335
Email: adrianna.gillman (at) colorado.edu
Office hours: By appointment
Roughly speaking, my research interests lie in the intersection of scientific computing, numerical methods for linear PDEs, and numerical linear algebra. The goal of my work (at a high level) is to design efficient and accurate numerical methods of simulating physical phenomena. To achieve this goal, I exploit the physics of the problems under consideration, develop high order discretizations and low rank matrices. My recent work has focused on the following areas:
• “Fast” algorithms such as the Fast Multipole Method and fast direct solvers.
• Integral equation formulations for the mathematical modeling of physics and other real world applications.
• Wave scattering, acoustics, variable media.
• Techniques for handling challenging geometries such as corners, edges, and periodic domains.
1 and 2D HPS demo codes are available on GitHub
A. Gillman presenting at Issac Newton Institute workshop on Multiple Scattering (April 2023), FoCM Foundations of Numerical Methods (June 2023), ICOSAHOM 2023 (August 2023) and ICIAM (August 2023).
Yabin Zhang is now an Assistant Professor at Westlake University.
NSF Computational Mathematics Grant (Award Number: 2110886) has been granted to support work on