175 citations · 346 across the 31 of their papers we have counts for
5 papers · 1 filter
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…
Analysis of the Zero Relaxation Limit of Systems of Hyperbolic Conservation Laws with Random Initial Data
James M. Scott, M. Paul Laiu, Cory D. Hauck
We show the convergence of the zero relaxation limit in systems of hyperbolic conservation laws with stochastic initial data. Precisely, solutions converge to a soluti…
Realizability-Preserving DG-IMEX Method for the Two-Moment Model of Fermion Transport
Ran Chu, Eirik Endeve, Cory Hauck +1
Building on the framework of Zhang \& Shu \cite{zhangShu_2010a,zhangShu_2010b}, we develop a realizability-preserving method to simulate the transport of particles (fermions) throu…
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…