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math.NA2026
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…
math.NA2026
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…
math.NA2014
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…