A DG-IMEX method for two-moment neutrino transport: Nonlinear solvers for neutrino–matter coupling
Neutrino–matter interactions play an important role in core-collapse supernova (CCSN)
explosions, as they contribute to both lepton number and/or four-momentum exchange …
explosions, as they contribute to both lepton number and/or four-momentum exchange …
A collision-based hybrid method for the BGK equation
We apply the collision-based hybrid method introduced by Hauck and McClarren [1] to the
Boltzmann equation with the BGK operator and a hyperbolic scaling. An implicit treatment of …
Boltzmann equation with the BGK operator and a hyperbolic scaling. An implicit treatment of …
Anderson acceleration with approximate calculations: applications to scientific computing
We provide rigorous theoretical bounds for Anderson acceleration (AA) that allow for
approximate calculations when applied to solve linear problems. We show that, when the …
approximate calculations when applied to solve linear problems. We show that, when the …
An Asymptotic Preserving Discontinuous Galerkin Method for a Linear Boltzmann Semiconductor Model
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 function, called …
frequency tends to infinity, the phase space density converges to an isotropic function, called …
Analysis of a new implicit solver for a semiconductor model
We present and analyze a new iterative solver for implicit discretizations of a simplified
Boltzmann--Poisson system. The algorithm builds on recent work that incorporated a …
Boltzmann--Poisson system. The algorithm builds on recent work that incorporated a …
High Order IMEX Stochastic Galerkin Schemes for Linear Transport Equation with Random Inputs and Diffusive Scalings
In this paper, we consider the high order method for solving the linear transport equations
under diffusive scaling and with random inputs. To tackle the randomness in the problem …
under diffusive scaling and with random inputs. To tackle the randomness in the problem …