Error estimates for deep learning methods in fluid dynamics

نویسندگان

چکیده

In this study, we provide error estimates and stability analysis of deep learning techniques for certain partial differential equations including the incompressible Navier–Stokes equations. particular, obtain explicit (in suitable norms) solution computed by optimizing a loss function in Deep Neural Network approximation solution, with fixed complexity.

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ژورنال

عنوان ژورنال: Numerische Mathematik

سال: 2022

ISSN: ['0945-3245', '0029-599X']

DOI: https://doi.org/10.1007/s00211-022-01294-z