3 papers
math.NA2025
Efficient Dynamic Image Reconstruction with motion estimation
Toluwani Okunola, Mirjeta Pasha, Misha Kilmer +1
Dynamic inverse problems are challenging to solve due to the need to identify and incorporate appropriate regularization in both space and time. Moreover, the very large scale natu…
math.NA2023
Low-rank solutions to the stochastic Helmholtz equation
Adem Kaya, Melina A. Freitag
In this paper, we consider low-rank approximations for the solutions to the stochastic Helmholtz equation with random coefficients. A Stochastic Galerkin finite element method is u…
math.NA2023
Solving the Parametric Eigenvalue Problem by Taylor Series and Chebyshev Expansion
Thomas Mach, Melina A. Freitag
We discuss two approaches to solving the parametric (or stochastic) eigenvalue problem. One of them uses a Taylor expansion and the other a Chebyshev expansion. The parametric eige…