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PINN_for_Burgers

Physics-Informed Neural Network for the 2D Burgers' equation

This repository is supplemetary material to a paper presented at the 11th Brazilian Conference on Intelligent Systems (BRACIS 2022):

Augmenting a Physics-Informed Neural Network for the 2D Burgers equation by addition of solution data points

Marlon S. Mathias, Wesley P. de Almeida, Marcel R. de Barros, Jefferson F. Coelho, Lucas P. de Freitas, Felipe M. Moreno, Caio F. D. Netto, Fabio G. Cozman, Anna H. R. Costa,Eduardo A. Tannuri, Edson S. Gomi, Marcelo Dottori

The publication is available at: https://link.springer.com/chapter/10.1007/978-3-031-21689-3_28 And the preprint is at: https://arxiv.org/abs/2301.07824

This work was carried out at the Center for Artificial Intelligence (C4AI-USP), with support by the São Paulo Research Foundation (FAPESP) under grant number 2019/07665-4, and by the IBM Corporation. This work is also supported in part by FAPESP under grant number 2020/16746-5, the Brazilian National Council for Scientific and Technological Development (CNPq) under grant numbers 310085/2020-9, 310127/2020-3, 312180/2018-7, Coordination for the Improvement of Higher Education Personnel (CAPES, Finance Code 001), and by Itaú Unibanco S.A. through the Programa de Bolsas Itaú (PBI) program of the Centro de Ciência de Dados (C2D) of Escola Politécnica of USP.

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