78 citations · 426 across the 35 of their papers we have counts for
37 papers
A fast scheme for the homogeneous Boltzmann equation based on lifting and tensor train approximation
Kun Huang, Yingda Cheng, Irene M. Gamba
We propose a fast deterministic scheme for the space-homogeneous Boltzmann equation that exploits the low-rank structure of the velocity distribution. This paper consists of two in…
A micro-macro decomposed reduced basis method for the time-dependent radiative transfer equation
Zhichao Peng, Yanlai Chen, Yingda Cheng +1
Kinetic transport equations are notoriously difficult to simulate because of their complex multiscale behaviors and the need to numerically resolve a high dimensional probability d…
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…
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…