Coarse-Gridded Simulation of the Nonlinear Schrödinger Equation with Machine Learning

A numerical method for evolving the nonlinear Schrödinger equation on a coarse spatial grid is developed. This trains a neural network to generate the optimal stencil weights to discretize the second derivative of solutions to the nonlinear Schrödinger equation. The neural network is embedded in a s...

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Bibliographic Details
Main Authors: Benjamin F. Akers, Kristina O. F. Williams
Format: Article
Language:English
Published: MDPI AG 2024-09-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/12/17/2784