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20112024
most citedEnergy-conserving discontinuous Galerkin methods for the Vlasov-Ampère system

78 citations · 734 across the 47 of their papers we have counts for

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Showing 2021Show all

4 papers · 1 filter

math.NA2021★ 2 cited

Machine learning moment closure models for the radiative transfer equation III: enforcing hyperbolicity and physical characteristic speeds

Juntao Huang, Yingda Cheng, Andrew J. Christlieb +1

This is the third paper in a series in which we develop machine learning (ML) moment closure models for the radiative transfer equation (RTE). In our previous work \cite{huang2021g…

math.NA2021

Machine learning moment closure models for the radiative transfer equation II: enforcing global hyperbolicity in gradient based closures

Juntao Huang, Yingda Cheng, Andrew J. Christlieb +2

This is the second paper in a series in which we develop machine learning (ML) moment closure models for the radiative transfer equation (RTE). In our previous work \cite{huang2021…

math.NA2021★ 37 cited

Machine learning moment closure models for the radiative transfer equation I: directly learning a gradient based closure

Juntao Huang, Yingda Cheng, Andrew J. Christlieb +1

In this paper, we take a data-driven approach and apply machine learning to the moment closure problem for radiative transfer equation in slab geometry. Instead of learning the unc…

math.NA2021

Parallel Scaling of the Regionally-Implicit Discontinuous Galerkin Method with Quasi-Quadrature-Free Matrix Assembly

Andrew J. Christlieb, Pierson T. Guthrey, James A. Rossmanith

In this work we investigate the parallel scalability of the numerical method developed in Guthrey and Rossmanith [The regionally implicit discontinuous Galerkin method: Improving t…