Juntao Huang | DeepAI

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∙ 06/12/2023

On the rotational invariance and hyperbolicity of shallow water moment equations in two dimensions

In this paper, we investigate the two-dimensional extension of a recentl...

0 Matthew Bauerle, et al. ∙

∙ 11/10/2022

Bound-preserving discontinuous Galerkin methods with modified Patankar time integrations for chemical reacting flows

In this paper, we develop bound-preserving discontinuous Galerkin (DG) m...

0 Fangyao Zhu, et al. ∙

∙ 11/03/2022

Adaptive sparse grid discontinuous Galerkin method: review and software implementation

This paper reviews the adaptive sparse grid discontinuous Galerkin (aSG-...

0 Juntao Huang, et al. ∙

∙ 10/14/2022

Superconvergence and accuracy enhancement of discontinuous Galerkin solutions for Vlasov-Maxwell equations

This paper considers the discontinuous Galerkin (DG) methods for solving...

0 Andrés Galindo-Olarte, et al. ∙

∙ 07/14/2022

Coupling conditions for linear hyperbolic relaxation systems in two-scales problems

This work is concerned with coupling conditions for linear hyperbolic re...

0 Juntao Huang, et al. ∙

∙ 05/03/2022

On the stability of strong-stability-preserving modified Patankar Runge-Kutta schemes

In this paper, we perform stability analysis for a class of second and t...

0 Juntao Huang, et al. ∙

∙ 09/02/2021

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

This is the third paper in a series in which we develop machine learning...

0 Juntao Huang, et al. ∙

∙ 05/30/2021

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

This is the second paper in a series in which we develop machine learnin...

0 Juntao Huang, et al. ∙

∙ 05/12/2021

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

In this paper, we take a data-driven approach and apply machine learning...

0 Juntao Huang, et al. ∙

∙ 04/12/2021

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

In this paper, we propose a class of adaptive multiresolution (also call...

0 Juntao Huang, et al. ∙

∙ 01/17/2021

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

In this paper, we propose a data-driven method to discover multiscale ch...

0 Juntao Huang, et al. ∙

∙ 09/28/2020

Learning Interpretable and Thermodynamically Stable Partial Differential Equations

In this work, we develop a method for learning interpretable and thermod...

0 Juntao Huang, et al. ∙

∙ 07/03/2020

An adaptive multiresolution ultra-weak discontinuous Galerkin method for nonlinear Schrodinger equations

This paper develops a high order adaptive scheme for solving nonlinear S...

0 Zhanjing Tao, et al. ∙

∙ 05/29/2020

An adaptive sparse grid local discontinuous Galerkin method for Hamilton-Jacobi equations in high dimensions

We are interested in numerically solving the Hamilton-Jacobi (HJ) equati...

0 Wei Guo, et al. ∙

∙ 04/18/2020

An adaptive multiresolution interior penalty discontinuous Galerkin method for wave equations in second order form

In this paper, we propose a class of adaptive multiresolution (also call...

0 Juntao Huang, et al. ∙

∙ 01/24/2020

Boundary treatment of high order Runge-Kutta methods for hyperbolic conservation laws

In <cit.>, we developed a boundary treatment method for implicit-explici...

0 Weifeng Zhao, et al. ∙

∙ 08/02/2019

Boundary treatment of implicit-explicit Runge-Kutta method for hyperbolic systems with source terms

In this paper, we develop a high order finite difference boundary treatm...

0 Weifeng Zhao, et al. ∙

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