activity
20192026
most citedMachine learning moment closure models for the radiative transfer equation I: directly learning a gradient based closure

37 citations · 63 across the 12 of their papers we have counts for

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Showing 2021Show all

5 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★ 1 cited

A class of adaptive multiresolution ultra-weak discontinuous Galerkin methods for some nonlinear dispersive wave equations

Juntao Huang, Yong Liu, Yuan Liu +2

In this paper, we propose a class of adaptive multiresolution (also called adaptive sparse grid) ultra-weak discontinuous Galerkin (UWDG) methods for solving some nonlinear dispers…

physics.chem-ph2021

Data-driven discovery of multiscale chemical reactions governed by the law of mass action

Juntao Huang, Yizhou Zhou, Wen-An Yong

In this paper, we propose a data-driven method to discover multiscale chemical reactions governed by the law of mass action. First, we use a single matrix to represent the stoichio…