Randomized Newton's method for solving differential equations based on the neural network discretization
DOI10.1007/s10915-022-01905-9zbMath1502.65167arXiv1912.03196OpenAlexW2991807375WikidataQ115382647 ScholiaQ115382647MaRDI QIDQ2161555
Publication date: 4 August 2022
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1912.03196
Artificial neural networks and deep learning (68T07) Newton-type methods (49M15) Existence theories for free problems in two or more independent variables (49J10) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Probabilistic methods, particle methods, etc. for initial value and initial-boundary value problems involving PDEs (65M75)
Uses Software
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