Learning the Dynamics for Unknown Hyperbolic Conservation Laws Using Deep Neural Networks

DOI10.1137/22m1537333MaRDI QIDQ6195013

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Publication date: 12 March 2024

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

zbMATH Keywords

conservation lawsneural networksdata-driven methodconservative form network

Mathematics Subject Classification ID

Artificial neural networks and deep learning (68T07) Numerical optimization and variational techniques (65K10) Shocks and singularities for hyperbolic equations (35L67) Hyperbolic conservation laws (35L65) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99) Neural nets and related approaches to inference from stochastic processes (62M45)

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