Numerical Simulation of the Korteweg–de Vries Equation with Machine Learning

A machine learning procedure is proposed to create numerical schemes for solutions of nonlinear wave equations on coarse grids. This method trains stencil weights of a discretization of the equation, with the truncation error of the scheme as the objective function for training. The method uses cent...

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Bibliographic Details
Main Authors: Kristina O. F. Williams, Benjamin F. Akers
Format: Article
Language:English
Published: MDPI AG 2023-06-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/11/13/2791