Solving parametric PDE problems with artificial neural networks

Abstract

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

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Cite this paper

@inproceedings{Khoo2017SolvingPP, title={Solving parametric PDE problems with artificial neural networks}, author={Yuehaw Khoo and Jianfeng Lu and Lexing Ying}, year={2017} }