no code implementations • 2 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.
no code implementations • 30 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).
no code implementations • 12 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.
1 code implementation • 9 Dec 2019 • Zhanjing Tao, Yan Jiang, Yingda Cheng
The contribution of this work is the introduction of a systematic framework for collocation onto high-order piecewise polynomial space that is allowed to be discontinuous.
Numerical Analysis Numerical Analysis
1 code implementation • 3 Jun 2019 • Juntao Huang, Yingda Cheng
Theoretical and numerical studies are performed taking into consideration of accuracy and stability with regard to the choice of the interpolatory multiwavelets.
Numerical Analysis Numerical Analysis