Variational Physics Informed Neural Networks: the role of quadratures and test functions

DOI10.1007/S10915-022-01950-4arXiv2109.02035MaRDI QIDQ6376885

Stefano Berrone, Claudio Canuto, Moreno Pintore

Publication date: 5 September 2021

Mathematics Subject Classification ID

Artificial neural networks and deep learning (68T07) Numerical optimization and variational techniques (65K10) A priori estimates in context of PDEs (35B45) Variational methods for second-order elliptic equations (35J20) PDEs in connection with control and optimization (35Q93) Numerical analysis (65-XX) Numerical methods for ill-posed problems for boundary value problems involving PDEs (65N20)

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