175 citations · 346 across the 31 of their papers we have counts for
3 papers · 2 filters
Diagnosing Forward Operator Error Using Optimal Transport
Michael A. Puthawala, Cory D. Hauck, Stanley J. Osher
We investigate overdetermined linear inverse problems for which the forward operator may not be given accurately. We introduce a new tool called the structure, based on the Wassers…
A Positive Asymptotic Preserving Scheme for Linear Kinetic Transport Equations
M. Paul Laiu, Martin Frank, Cory D. Hauck
We present a positive and asymptotic preserving numerical scheme for solving linear kinetic, transport equations that relax to a diffusive equation in the limit of infinite scatter…
A regularized entropy-based moment method for kinetic equations
Graham W. Alldredge, Martin Frank, Cory D. Hauck
We present a new entropy-based moment method for the velocity discretization of kinetic equations. This method is based on a regularization of the optimization problem defining the…