Adrianna Gillman

Adrianna Gillman

Numerical analyst with expertise in numerical linear algebra and numerical partial differential equations

Adrianna Gillman

Adrianna Gillman

Research Interests

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.

News from the Group

  • A. Gillman to give an invited presentation at the Joint Math Meetings, January 2027.
  • A. Gillman to organize and speak in a minisymposium at SIAM CSE, February 2027.
  • A. Gillman to give a talk at UC Denver, April 2027.
  • A. Gillman to give an invited presentation at ICOSAHOM, July 2027.

  • A. Gillman to give an invited presentation at the Institute for Mathematical and Statistical Innovation (IMSI) workshop titled “Analysis-based fast methods for computational PDE”, August 2027.

  • We welcomed Jon Shaw to the group, June 2026.