| | | |

Introdução a PINNs

Ajude a manter o site livre, gratuito e sem propagandas. Colabore!

Referências

  • [1] D. Ağırseven and T. Öziş (2010) An analytical study for fisher type equations by using homotopy perturbation method. Computers & Mathematics with Applications 60 (3), pp. 602–609. External Links: ISSN 0898-1221, Document, Link Cited by: Exemplo 4.3.1, Introdução a PINNs.
  • [2] S. Cai, Z. Wang, S. Wang, P. Perdikaris, and G. E. Karniadakis (2021-04) Physics-informed neural networks for heat transfer problems. Journal of Heat Transfer 143 (6), pp. 060801. External Links: ISSN 0022-1481, Document, Link, https://asmedigitalcollection.asme.org/heattransfer/article-pdf/143/6/060801/6688635/ht_143_06_060801.pdf Cited by: Capítulo 1, Introdução a PINNs.
  • [3] G. Cybenko (1989) Approximation by superpositions of a sigmoidal function. Mathematics of control, signals and systems 2 (4), pp. 303–314. Cited by: §3.2.1.
  • [4] R. DeVore, B. Hanin, and G. Petrova (2021) Neural network approximation. Acta Numerica 30, pp. 327–444. External Links: Document Cited by: §3.2.1.
  • [5] F. Fernández de la Mata, A. Gijón, M. Molina-Solana, and J. Gómez-Romero (2023) Physics-informed neural networks for data-driven simulation: advantages, limitations, and opportunities. Physica A: Statistical Mechanics and its Applications 610, pp. 128415. External Links: ISSN 0378-4371, Document, Link Cited by: Introdução a PINNs.
  • [6] I. Goodfellow, Y. Bengio, and A. Courville (2016) Deep learning. Adaptive Computation and Machine Learning series, MIT Press. External Links: ISBN 9780262337373, LCCN 2016022992, Link Cited by: Introdução a PINNs.
  • [7] S.S. Haykin (2009) Neural networks and learning machines. Pearson International Edition, Pearson. External Links: ISBN 9780131293762, Link Cited by: Introdução a PINNs.
  • [8] K. Hornik (1989) Multilayer feedforward networks are universal approximators. Neural networks 2, pp. 359–366. Cited by: §3.2.1.
  • [9] Z. Mao, A. D. Jagtap, and G. E. Karniadakis (2020) Physics-informed neural networks for high-speed flows. Computer Methods in Applied Mechanics and Engineering 360, pp. 112789. External Links: ISSN 0045-7825, Document, Link Cited by: Capítulo 1, Introdução a PINNs.
  • [10] W.S. McCulloch and W. Pitts (1943) A logical calculus of the ideas immanent in nervous activity. The bulletin of mathematical biophysics 5, pp. 115–133. Cited by: Capítulo 1, Introdução a PINNs.
  • [11] M. Raissi, P. Perdikaris, and G.E. Karniadakis (2019) Physics-informed neural networks: a deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations. Journal of Computational Physics 378, pp. 686–707. External Links: ISSN 0021-9991, Document, Link Cited by: Capítulo 1, Introdução a PINNs.
  • [12] F. Rosenblatt (1958) The perceptron: a probabilistic model for information storage and organization in the brain. Psychological review 65 (6), pp. 386–408. Cited by: Capítulo 1, Capítulo 2, Introdução a PINNs.
  • [13] F. Rosenblatt (1962) Principles of neurodynamics: perceptrons and the theory of brain mechanisms. Technical report Technical Report AD0256582, Cornell Aeronautical Laboratory, Inc.. External Links: Document Cited by: Capítulo 1, Introdução a PINNs.
  • [14] S. R. Vadyala, S. N. Betgeri, and N. P. Betgeri (2022) Physics-informed neural network method for solving one-dimensional advection equation using pytorch. Array 13, pp. 100110. External Links: ISSN 2590-0056, Document, Link Cited by: Capítulo 1, Introdução a PINNs.
  • [15] B. Widrow and M. E. Hoff (1960) Adaptive switching circuits. In 1960 IRE WESCON Convention Record, Part 4, pp. 96–104. Note: Reprinted in: Neurocomputing: Foundations of research, 1990, pp. 161-173 External Links: Document Cited by: Capítulo 1, Introdução a PINNs.

Envie seu comentário

Aproveito para agradecer a todas/os que de forma assídua ou esporádica contribuem enviando correções, sugestões e críticas!

Opcional. Preencha seu nome para que eu possa lhe contatar.
Opcional. Preencha seu e-mail para que eu possa lhe contatar.
As informações preenchidas são enviadas por e-mail para o desenvolvedor do site e tratadas de forma privada. Consulte a política de uso de dados para mais informações.

Licença Creative Commons
Este texto é disponibilizado nos termos da Licença Creative Commons Atribuição-CompartilhaIgual 4.0 Internacional. Ícones e elementos gráficos podem estar sujeitos a condições adicionais.

Pedro H A Konzen
| | | |