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Error estimates of physics-informed neural networks for initial value problems

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Publication:6647977
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DOI10.12941/jksiam.2024.28.033MaRDI QIDQ6647977

Hae Sung Lee, Jaywon Kim, Minjung Gim, Jihahm Yoo

Publication date: 3 December 2024

Published in: Journal of the Korean Society for Industrial and Applied Mathematics (Search for Journal in Brave)



zbMATH Keywords

stabilityexistenceerror estimatesuniquenessneural networksinitial value problemsdifferential equationsPINN


Mathematics Subject Classification ID

Artificial neural networks and deep learning (68T07) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Theoretical approximation of solutions to ordinary differential equations (34A45) Stability and convergence of numerical methods for ordinary differential equations (65L20)








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