Data-driven solutions and parameter discovery of the Sasa–Satsuma equation via the physics-informed neural networks method

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

An algorithm for the machine calculation of complex Fourier series

J.W. Cooley, John W. Tukey · Mathematics of Computation · 1965 · 12.2K citations

Computing, Computer Science, Mathematics +12

On the limited memory BFGS method for large scale optimization

Jorge Nocedal · Mathematical Programming · 1989 · 8.5K citations

Computing, Computer Engineering, Computer Science +12

Method for Solving the Korteweg-deVries Equation

Clifford S. Gardner, J. M. Greene, Martin D. Kruskal et al. · Physical Review Letters · 1967 · 4.6K citations

Natural Sciences, Mathematics, Physics +17