SeismicNet: Physics-informed neural networks for seismic wave modeling in semi-infinite domain

Multilayer feedforward networks are universal approximators

Kurt Hornik, Maxwell B. Stinchcombe, Halbert White · Neural Networks · 1989 · 21.2K citations

Computing, Computer Science, Mathematics +10

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

Maziar Raissi, Paris Perdikaris, George Em Karniadakis · Journal of Computational Physics · 2018 · 16.9K citations · Full text

Natural Sciences, Computer Science, Physics +16

Approximation by superpositions of a sigmoidal function

George Cybenko · Mathematics of Control Signals and Systems · 1989 · 13.7K citations

Computing, Computer Science, Machine Learning +5

The finite element method. Linear static and dynamic finite element analysis

Thomas Zimmermann · Computer Methods in Applied Mechanics and Engineering · 1987 · 5.1K citations

Engineering, Computational Engineering, Mechanical Engineering +12

Algorithm 778: L-BFGS-B

Ciyou Zhu, Richard H. Byrd, Peihuang Lu et al. · ACM Transactions on Mathematical Software · 1997 · 3.4K citations · Full text

Computing, Computer Science, Algorithms +13