A DEEP LEARNING BASED NONLINEAR UPSCALING METHOD FOR TRANSPORT EQUATIONS

A DEEP LEARNING BASED NONLINEAR UPSCALING METHOD FOR TRANSPORT EQUATIONS

We will develop a nonlinear upscaling method for nonlinear transport equations. The proposed scheme gives a coarse scale equation for the cell average of the solution. In order to compute the parameters in the coarse scale equation, a local downscaling operator is constructed. This downscaling opera...

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Bibliographic Details
Main Authors: Chung, E.T (Author), See, S. (Author), Yeung, T.S.A (Author)
Format: Article
Language:English
Published: Kent State University 2021
Subjects:
Cell averages
Control nonlinearities
deep learning
Deep learning
Deep neural networks
Down-scaling
Fine-scale
Nonlinear equations
Nonlinear transport equations
nonlinear upscaling
Nonlinear upscaling
Scale properties
Transport equation
transport equations
Upscaling
Upscaling methods
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