Convergence Analysis of a Quasi-Monte CarloBased Deep Learning Algorithm for Solving Partial Differential Equations

DOI10.4208/nmtma.oa-2022-0166arXiv2210.16196OpenAlexW4362558654MaRDI QIDQ6151262

Unnamed Author, Xiaoqun Wang

Publication date: 11 March 2024

Published in: Numerical Mathematics: Theory, Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2210.16196

zbMATH Keywords

error boundPoisson equationQuasi-Monte Carlodeep Ritz methodstatic Schrödinger equation

Mathematics Subject Classification ID

Artificial neural networks and deep learning (68T07) Error bounds for boundary value problems involving PDEs (65N15) Variational methods for second-order elliptic equations (35J20) Numerical integration (65D30) PDEs in connection with computer science (35Q68)

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