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Found 5 papers, 2 papers with code
An adaptive high-order piecewise polynomial based sparse grid collocation method with applications
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
An adaptive multiresolution discontinuous Galerkin method with artificial viscosity for scalar hyperbolic conservation laws in multidimensions
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
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 to the moment closure problem for radiative transfer equation in slab geometry.
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 learning (ML) moment closure models for the radiative transfer equation (RTE).
Machine learning moment closure models for the radiative transfer equation III: enforcing hyperbolicity and physical characteristic speeds
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.
