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08/11/2023
A semi-implicit dynamical low-rank discontinuous Galerkin method for space homogeneous kinetic equations. Part I: emission and absorption
Dynamical low-rank approximation (DLRA) is an emerging tool for reducing...
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06/20/2023
A Collision-Based Hybrid Method for the BGK Equation
We apply the collision-based hybrid introduced in <cit.> to the Boltzman...
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06/07/2023
Numerical analysis of a hybrid method for radiation transport
In this work, we prove rigorous error estimates for a hybrid method intr...
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01/25/2022
Neural network-based, structure-preserving entropy closures for the Boltzmann moment system
This work presents neural network based minimal entropy closures for the...
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07/22/2021
Conservative DG Method for the Micro-Macro Decomposition of the Vlasov-Poisson-Lenard-Bernstein Model
The micro-macro (mM) decomposition approach is considered for the numeri...
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06/17/2021
A structure-preserving surrogate model for the closure of the moment system of the Boltzmann equation using convex deep neural networks
Direct simulation of physical processes on a kinetic level is prohibitiv...
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06/16/2021
Data-driven, structure-preserving approximations to entropy-based moment closures for kinetic equations
We present a data-driven approach to construct entropy-based closures fo...
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09/23/2020
Uniform convergence of an upwind discontinuous Galerkin method for solving scaled discrete-ordinate radiative transfer equations with isotropic scattering kernel
We present an error analysis for the discontinuous Galerkin method appli...
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09/11/2020
Analysis of a new implicit solver for a semiconductor model
We present and analyze a new iterative solver for implicit discretizatio...
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02/06/2020
Hybrid Solver for the Radiative Transport Equation Using Finite Volume and Discontinuous Galerkin
We propose a hybrid spatial discretization for the radiative transport e...
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11/20/2019
Ray Effect Mitigation for the Discrete Ordinates Method Using Artificial Scattering
Solving the radiative transfer equation with the discrete ordinates (S_N...
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07/01/2019