175 citations · 346 across the 31 of their papers we have counts for
5 papers · 1 filter
A Predictor-Corrector Strategy for Adaptivity in Dynamical Low-Rank Approximations
Cory Hauck, Stefan Schnake
In this paper, we present a predictor-corrector strategy for constructing rank-adaptive dynamical low-rank approximations (DLRAs) of matrix-valued ODE systems. The strategy is a co…
Multigroup Neutron Transport using a Collision-Based Hybrid Method
Ben Whewell, Ryan G. McClarren, Cory D. Hauck +1
A collision-based hybrid algorithm for the discrete ordinates approximation of the neutron transport equation is extended to the multigroup setting. The algorithm uses discrete ene…
Asymptotic Preserving Discontinuous Galerkin Methods for a Linear Boltzmann Semiconductor Model
Victor DeCaria, Cory Hauck, Stefan Schnake
A key property of the linear Boltzmann semiconductor model is that as the collision frequency tends to infinity, the phase space density converges to an isotropic fu…
Numerical schemes for a multi-species BGK model with velocity-dependent collision frequency
Jeffrey Haack, Cory Hauck, Christian Klingenberg +2
We consider a kinetic description of a multi-species gas mixture modeled with Bhatnagar-Gross-Krook (BGK) collision operators, in which the collision frequency varies not only in t…
Neural network-based, structure-preserving entropy closures for the Boltzmann moment system
Steffen Schotthöfer, Tianbai Xiao, Martin Frank +1
This work presents neural network based minimal entropy closures for the moment system of the Boltzmann equation, that preserve the inherent structure of the system of partial diff…