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Solving nonlinear elliptic partial differential equations by neural network approximation of smoothing Newton’s iteration


G. F. Oubiennykh

The article is referred to numerical solution of nonlinear elliptic partial differential equations (PDEs) using of neural networks by RBF collocation inside of Newton’s iteration. It’s shown implicit smoothing with Matérn functions improves convergence of non-symmetric RBF collocation for solving of nonlinear PDEs.
May 29, 2020

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