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Found 7 papers, 2 papers with code
Hyperbolic Machine Learning Moment Closures for the BGK Equations
This closure is motivated by the exact closure for the free streaming limit that we derived in our paper on closures in transport \cite{Huang2022-RTE1}.
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.
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 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.
Data-driven discovery of multiscale chemical reactions governed by the law of mass action
First, we use a single matrix to represent the stoichiometric coefficients for both the reactants and products in a system without catalysis reactions.
Learning Thermodynamically Stable and Galilean Invariant Partial Differential Equations for Non-equilibrium Flows
In this work, we develop a method for learning interpretable, thermodynamically stable and Galilean invariant partial differential equations (PDEs) based on the Conservation-dissipation Formalism of irreversible thermodynamics.
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
