Distributed learning machines for solving forward and inverse problems in partial differential equations

Physics-informed neural networks: A deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations

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Natural Sciences, Computer Science, Physics +16

Extreme learning machine: Theory and applications

Guang-Bin Huang, Qinyu Zhu, Chee‐Kheong Siew · Neurocomputing · 2006 · 13.2K citations

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High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method

Urmila Ghia, K. N. Ghia, C. T. Shin · Journal of Computational Physics · 1982 · 4.2K citations

Natural Sciences, Mechanical Engineering, Physics +17

An Introduction to Variational Autoencoders

Diederik P. Kingma, Max Welling · Foundations and Trends® in Machine Learning · 2019 · 2.5K citations · Full text

Computing, Computer Science, Machine Learning +7

Artificial neural networks for solving ordinary and partial differential equations

IEEE Transactions on Neural Networks · 1998 · 2.2K citations · Full text

Natural Sciences, Computational Engineering, Computer Science +17