Search Results for author: Andrew J. Christlieb

Found 4 papers, 0 papers with code

Hyperbolic Machine Learning Moment Closures for the BGK Equations

no code implementations9 Jan 2024 Andrew J. Christlieb, Mingchang Ding, Juntao Huang, Nicholas A. Krupansky

This closure is motivated by the exact closure for the free streaming limit that we derived in our paper on closures in transport \cite{Huang2022-RTE1}.

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

no code implementations2 Sep 2021 Juntao Huang, Yingda Cheng, Andrew J. Christlieb, Luke F. Roberts

In our second paper \cite{huang2021hyperbolic}, we identified a symmetrizer which leads to conditions that enforce that the gradient based ML closure is symmetrizable hyperbolic and stable over long time.

RTE

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

no code implementations30 May 2021 Juntao Huang, Yingda Cheng, Andrew J. Christlieb, Luke F. Roberts, Wen-An Yong

This is the second paper in a series in which we develop machine learning (ML) moment closure models for the radiative transfer equation (RTE).

RTE

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

no code implementations12 May 2021 Juntao Huang, Yingda Cheng, Andrew J. Christlieb, Luke F. Roberts

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.

BIG-bench Machine Learning

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