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08/31/2022
Constructing relaxation systems for lattice Boltzmann methods
We present the first top-down ansatz for constructing lattice Boltzmann ...
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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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01/21/2022
Multivariate error modeling and uncertainty quantification using importance (re-)weighting for Monte Carlo simulations in particle transport
Fast and accurate predictions of uncertainties in the computed dose are ...
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01/06/2022
A low-rank power iteration scheme for neutron transport criticality problems
Computing effective eigenvalues for neutron transport often requires a f...
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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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05/21/2021
On the convergence of the regularized entropy-based moment method for kinetic equations
The entropy-based moment method is a well-known discretization for the v...
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05/16/2021
A Realizable Filtered Intrusive Polynomial Moment Method
Intrusive uncertainty quantification methods for hyperbolic problems exh...
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05/10/2021
Dynamical low-rank approximation for Burgers' equation with uncertainty
Quantifying uncertainties in hyperbolic equations is a source of several...
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03/23/2021
A parallel implementation of a diagonalization-based parallel-in-time integrator
We present and analyze a parallel implementation of a parallel-in-time m...
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04/06/2020
Massively Parallel Stencil Strategies for Radiation Transport Moment Model Simulations
The radiation transport equation is a mesoscopic equation in high dimens...
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12/19/2019
Intrusive acceleration strategies for Uncertainty Quantification for hyperbolic systems of conservation laws
Methods for quantifying the effects of uncertainties in hyperbolic probl...
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11/20/2019