Scientic Machine Learning through Physics-Informed Neural Networks: Where we are and What's next

Salvatore Cuomo1, Vincenzo Schiano Di Cola2*, Fabio

Giampaolo1, Gianluigi Rozza2, Maziar Raissi3 and Francesco

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Piccialli1*

1*Department of Mathematics and Applications "R. Caccioppoli",

University of Naples Federico II, Napoli, 80126, Italy .

2*Department of Electrical Engineering and Information

Technology, University of Naples Federico II, Via Claudio,

Napoli, 80125, Italy .

2SISSA { International School for Advanced Studies, Street, City,

10587, Italy.

3Department of Applied Mathematics, University of Colorado

Boulder, Street, Boulder, 610101, United States.

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