Artificial Neural Network Methods for the Solution of Second Order Boundary Value Problems

We present a method for solving partial differential equations using artificial neural networks and an adaptive collocation strategy. In this procedure, a coarse grid of training points is used at the initial training stages, while more points are added at later stages based on the value of the resi...

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Veröffentlicht in:	Computers, materials & continua materials & continua, 2019-01, Vol.59 (1), p.345-359
Hauptverfasser:	Anitescu, Cosmin, Atroshchenko, Elena, Alajlan, Naif, Rabczuk, Timon
Format:	Artikel
Sprache:	eng
Schlagworte:	Acoustics Artificial neural networks Boundary value problems Helmholtz equations Mathematical analysis Neural networks Partial differential equations Robustness (mathematics) Training
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