Convolution hierarchical deep-learning neural network (C-HiDeNN) with graphics processing unit (GPU) acceleration

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

Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement

Thomas J.R. Hughes, J. Austin Cottrell, Yuri Bazilevs · Computer Methods in Applied Mechanics and Engineering · 2005 · 6.2K citations · Full text

Computing, Computational Engineering, Computer Science +17

Piecewise polynomial, positive definite and compactly supported radial functions of minimal degree

Holger Wendland · Advances in Computational Mathematics · 1995 · 3K citations

Computing, Computer Science, Computational Geometry +3

Reproducing kernel particle methods

Wing Kam Liu, Sukky Jun, Yi Fei Zhang · International Journal for Numerical Methods in Fluids · 1995 · 2.8K citations

Engineering, Computational Engineering, Physics +12