6 Artículos

Neural-Network-Assisted Finite Difference Discretization for Numerical Solution of Partial Differential Equations

Acceso

en línea

Ferenc Izsák and Rudolf Izsák

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 compute th... ver más

Revista: Algorithms Formato: Electrónico

Tabla de contenido: Vol: 16 Num: 0 Par: 9 Año: 2023

Learning Data for Neural-Network-Based Numerical Solution of PDEs: Application to Dirichlet-to-Neumann Problems

Acceso

en línea

Ferenc Izsák and Taki Eddine Djebbar

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 chief ... ver más

Revista: Algorithms Formato: Electrónico

Tabla de contenido: Vol: 16 Num: 0 Par: 2 Año: 2023

Implicit a posteriori error estimates for the Maxwell equations

Solicitud

usuarios registrados

Ferenc Izsák; Davit Harutyunyan; Jaap J.W. van der Vegt Pág. 1355 - 1386

Revista: MATHEMATICS OF COMPUTATION Formato: Impreso

Tabla de contenido: Vol: 77 Num: 263 Par: 0 Año: 2008

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