Numerical solution of Poisson partial differential equation in high dimension using two-layer neural networks
DOI10.1090/mcom/3971MaRDI QIDQ6622387
Mathias Dus, Virginie Ehrlacher
Publication date: 22 October 2024
Published in: Mathematics of Computation (Search for Journal in Brave)
Artificial neural networks and deep learning (68T07) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Variational methods for second-order elliptic equations (35J20) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22) Numerical methods for partial differential equations, boundary value problems (65N99) PDEs on graphs and networks (ramified or polygonal spaces) (35R02) Optimal transportation (49Q22)
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