Cell-average based neural network method for Hunter-Saxton equations (Q6578103)

scientific article; zbMATH DE number 7886328

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English	Cell-average based neural network method for Hunter-Saxton equations	scientific article; zbMATH DE number 7886328

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instance of

scholarly article

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title

Cell-average based neural network method for Hunter-Saxton equations (English)

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Advances in Applied Mathematics and Mechanics

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publication date

24 July 2024

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zbMATH Keywords

finite volume scheme

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cell-average based neural network

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Hunter-Saxton equation

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corruption data

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MaRDI profile type

Publication

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cites work

Dynamics of Director Fields

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Convergent difference schemes for the Hunter–Saxton equation

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Local Discontinuous Galerkin Method for the Hunter–Saxton Equation and Its Zero-Viscosity and Zero-Dispersion Limits

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Dissipative Numerical Methods for the Hunter-Saxton Equation

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Numerical investigation based on Laguerre wavelet for solving the Hunter Saxton equation

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The Hunter‐Saxton Equation: A Numerical Approach Using Collocation Method

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An Efficient Numerical Solution of Nonlinear Hunter–Saxton Equation

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Weak adversarial networks for high-dimensional partial differential equations

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Least-squares ReLU neural network (LSNN) method for linear advection-reaction equation

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An artificial neural network as a troubled-cell indicator

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Learning to Discretize: Solving 1D Scalar Conservation Laws via Deep Reinforcement Learning

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Controlling oscillations in high-order discontinuous Galerkin schemes using artificial viscosity tuned by neural networks

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A neural network based shock detection and localization approach for discontinuous Galerkin methods

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Identifiers

Mathematics Subject Classification ID

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10.4208/AAMM.OA-2022-0278

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Sitelinks

Mathematics(1 entry)

mardi Publication:6578103