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