Approximation and generalization of DeepONets for learning operators arising from a class of singularly perturbed problems

DOI10.4208/eajam.2023-128.051023zbMath1547.65107MaRDI QIDQ6630935

Ting Du, Ye Geoffrey Li, Zhongyi Huang

Publication date: 31 October 2024

Published in: East Asian Journal on Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

uniform convergencesingularly perturbed problemShishkin meshdeep operator network

Mathematics Subject Classification ID

Artificial neural networks and deep learning (68T07) Stability and convergence of numerical methods for ordinary differential equations (65L20) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50) Numerical methods for ordinary differential equations (65L99) Numerical solution of singularly perturbed problems involving ordinary differential equations (65L11)

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