Haffner, Domonkos and Izsák, Ferenc (2021) Solving the Laplace Equation by Using Neural Networks. In: Conference on Developments in Computer Science, Budapest, Hungary, June 17-19, 2021 : Proceedings. Faculty of Informatics, Eötvös Loránd University, Budapest, pp. 1-4.
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Abstract
A neural network approach is presented for solving Laplace equations. The mathematical basis of this approach is the boundary integral method. A shallow and simple neural network is used. The number of the parameters in the neural network is optimal, which results in a quick learning. A numerical experiment is also presented. We can avoid in this way the construction of grids or meshes, which is a significant advance of our approach.
Item Type: | Book Section |
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Subjects: | Q Science / természettudomány > QA Mathematics / matematika > QA74 Analysis / analízis |
Depositing User: | Ferenc Izsák |
Date Deposited: | 03 Mar 2022 14:00 |
Last Modified: | 03 Mar 2022 14:00 |
URI: | http://real.mtak.hu/id/eprint/138400 |
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