2 citations · 3 across the 8 of their papers we have counts for
13 papers
Bound-preserving discontinuous Galerkin methods with modified Patankar time integrations for chemical reacting flows
Fangyao Zhu, Juntao Huang, Yang Yang
In this paper, we develop bound-preserving discontinuous Galerkin (DG) methods for chemical reactive flows. There are several difficulties in constructing suitable numerical scheme…
Adaptive sparse grid discontinuous Galerkin method: review and software implementation
Juntao Huang, Wei Guo, Yingda Cheng
This paper reviews the adaptive sparse grid discontinuous Galerkin (aSG-DG) method for computing high dimensional partial differential equations (PDEs) and its software implementat…
Superconvergence and accuracy enhancement of discontinuous Galerkin solutions for Vlasov-Maxwell equations
Andrés Galindo-Olarte, Juntao Huang, Jennifer K. Ryan +1
This paper considers the discontinuous Galerkin (DG) methods for solving the Vlasov-Maxwell (VM) system, a fundamental model for collisionless magnetized plasma. The DG methods pro…
On the stability of strong-stability-preserving modified Patankar Runge-Kutta schemes
Juntao Huang, Thomas Izgin, Stefan Kopecz +2
In this paper, we perform stability analysis for a class of second and third order accurate strong-stability-preserving modified Patankar Runge-Kutta (SSPMPRK) schemes, which were…
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…
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…