Exponential Convergence of Deep Operator Networks for Elliptic Partial Differential Equations

DOI10.1137/21m1465718zbMath1519.35088arXiv2112.08125OpenAlexW4380610957MaRDI QIDQ6108133

Christoph Schwab, Carlo Marcati

Publication date: 29 June 2023

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2112.08125

zbMATH Keywords

exponential convergenceelliptic PDEsdeep neural networksoperator networks

Mathematics Subject Classification ID

Artificial neural networks and deep learning (68T07) Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Error bounds for boundary value problems involving PDEs (65N15) Second-order elliptic equations (35J15)

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