40 citations · 40 across the 4 of their papers we have counts for
4 papers
Neural Network-Assisted Refinement of Traditional Schemes for One-Dimensional Scalar Conservation Laws
Imre Fekete, Ferenc Izsák, Vendel P. Kupás
A clear link is established between conventional numerical methods and neural network approximations for solving one-dimensional scalar conservation laws. The focus is on the const…
Tolerance Proportionality and Computational Stability in Adaptive Parallel-in-Time Runge-Kutta Methods
Imre Fekete, Ferenc Izsák, Vendel P. Kupás +1
In this paper, we investigate how adaptive time-integration strategies can be effectively combined with parallel-in-time numerical methods for solving systems of ordinary different…
Energy norm error estimates for averaged discontinuous Galerkin methods: multidimensional case
Ferenc Izsák
A mathematical analysis is presented for a class of interior penalty (IP) discontinuous Galerkin approximations of elliptic boundary value problems. In the framework of the present…
Simulation of reaction-diffusion processes in three dimensions using CUDA
Ferenc Molnar, Ferenc Izsak, Robert Meszaros +1
Numerical solution of reaction-diffusion equations in three dimensions is one of the most challenging applied mathematical problems. Since these simulations are very time consuming…