Zobrazeno 1 - 10
of 79
pro vyhledávání: '"Ferenc Izsák"'
Autor:
Ferenc Izsák, Rudolf Izsák
Publikováno v:
Algorithms, Vol 16, Iss 9, p 410 (2023)
A neural-network-assisted numerical method is proposed for the solution of Laplace and Poisson problems. Finite differences are applied to approximate the spatial Laplacian operator on nonuniform grids. For this, a neural network is trained to comput
Externí odkaz:
https://doaj.org/article/81d2136f2e384e38b953603dcc356832
Autor:
Ferenc Izsák, Taki Eddine Djebbar
Publikováno v:
Algorithms, Vol 16, Iss 2, p 111 (2023)
We propose neural-network-based algorithms for the numerical solution of boundary-value problems for the Laplace equation. Such a numerical solution is inherently mesh-free, and in the approximation process, stochastic algorithms are employed. The ch
Externí odkaz:
https://doaj.org/article/a288bed2ec394ea494a692dc2ae6f316
Publikováno v:
Heliyon, Vol 7, Iss 1, Pp e05842- (2021)
An empirical mesh adaption algorithm is introduced for modeling one-dimensional reaction-diffusion systems with large moving gradients. Our new algorithm is based on the revelation, that in reaction-diffusion systems the high moving concentration gra
Externí odkaz:
https://doaj.org/article/b8f06866f3d34913976135dec04b379d
Autor:
Gábor Maros, Ferenc Izsák
Publikováno v:
Fractal and Fractional, Vol 5, Iss 3, p 75 (2021)
The numerical solution of fractional-order elliptic problems is investigated in bounded domains. According to real-life situations, we assumed inhomogeneous boundary terms, while the underlying equations contain the full-space fractional Laplacian op
Externí odkaz:
https://doaj.org/article/b93430deb1bd4ff1baa528e181c3a18d
Autor:
Domonkos Haffner, Ferenc Izsák
Publikováno v:
Sensors, Vol 21, Iss 1, p 11 (2020)
The localization of multiple scattering objects is performed while using scattered waves. An up-to-date approach: neural networks are used to estimate the corresponding locations. In the scattering phenomenon under investigation, we assume known inci
Externí odkaz:
https://doaj.org/article/3c9ae1fa55ab4761ac35646c222fa618
Autor:
Béla J. Szekeres, Ferenc Izsák
Implicit neural networks and the related deep equilibrium models are investigated. To train these networks, the gradient of the corresponding loss function should be computed. Bypassing the implicit function theorem, we develop an explicit representa
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::28f73a2e38c22abe79d2c40740774a65
https://doi.org/10.21203/rs.3.rs-2232684/v1
https://doi.org/10.21203/rs.3.rs-2232684/v1
Autor:
Domonkos Haffner, Ferenc Izsák
Publikováno v:
Sensors, Vol 21, Iss 11, p 11 (2021)
Sensors (Basel, Switzerland)
Sensors (Basel, Switzerland)
The localization of multiple scattering objects is performed while using scattered waves. An up-to-date approach: neural networks are used to estimate the corresponding locations. In the scattering phenomenon under investigation, we assume known inci
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::02dab87a951446ecbc8f963377afd5b3
https://www.mdpi.com/1424-8220/21/1/11
https://www.mdpi.com/1424-8220/21/1/11
Autor:
Ferenc Izsák, Béla János Szekeres
Publikováno v:
Alkalmazott Matematikai Lapok. 36:205-211
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0963f1abee8aa280fa13b85276cfdcf8
https://doi.org/10.37070/aml.2019.36.2.04
https://doi.org/10.37070/aml.2019.36.2.04
Autor:
Béla J. Szekeres, Ferenc Izsák
Publikováno v:
Applied Mathematics Letters. 71:38-43
Space-fractional diffusion problems are investigated from the modeling point of view. It is pointed out that the elementwise power of the Laplacian operator in R n is an inadequate model of fractional diffusion. Also, the approach with fractional cal
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::412b8972184bf79284b6333262aca2f7
https://doi.org/10.1016/j.aml.2017.03.006
https://doi.org/10.1016/j.aml.2017.03.006
Autor:
Ferenc Izsák, Gábor Maros
Fractional-order elliptic problems are investigated in case of inhomogeneous Dirichlet boundary data. The boundary integral form is proposedas a suitable mathematical model. The corresponding theory is completedby sharpening the mapping properties of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2e1bdcfde4daa45cf16621deb302b8a4
http://arxiv.org/abs/1904.10734
http://arxiv.org/abs/1904.10734