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04/24/2023
Unsupervised Machine Learning to Classify the Confinement of Waves in Periodic Superstructures
We employ unsupervised machine learning to enhance the accuracy of our r...
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04/04/2023
Analysis and systematic discretization of a Fokker-Planck equation with Lorentz force
The propagation of charged particles through a scattering medium in the ...
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03/12/2023
An extension of the approximate component mode synthesis method to the heterogeneous Helmholtz equation
An extension of the approximate component mode synthesis (ACMS) method t...
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05/24/2022
Data driven gradient flows
We present a framework enabling variational data assimilation for gradie...
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01/16/2022
A phase-space discontinuous Galerkin approximation for the radiative transfer equation in slab geometry
We derive and analyze a symmetric interior penalty discontinuous Galerki...
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02/17/2021
On robustly convergent and efficient iterative methods for anisotropic radiative transfer
This paper considers the iterative solution of linear systems arising fr...
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09/14/2020
Analysis of a mixed discontinuous Galerkin method for the time-harmonic Maxwell equations with minimal smoothness requirements
An error analysis of a mixed discontinuous Galerkin (DG) method with Bre...
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04/24/2020
A model reduction approach for inverse problems with operator valued data
We study the efficient numerical solution of linear inverse problems wit...
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07/17/2019