Solving parametric PDE problems with artificial neural networks

The curse of dimensionality is commonly encountered in numerical partial differential equations (PDE), especially when uncertainties have to be modelled into the equations as random coefficients. However, very often the variability of physical quantities derived from PDE can be captured by a few fea...

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Bibliographic Details
Published in:European journal of applied mathematics 2021-06, Vol.32 (3), p.421-435
Main Authors: KHOO, YUEHAW, LU, JIANFENG, YING, LEXING
Format: Article
Language:English
Subjects:
Applied mathematics
Artificial neural networks
Coefficients
Neural networks
Partial differential equations
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