most citedDeep neural networks for smooth approximation of physics with higher order and continuity B-spline base functions

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math.NA2024

Graph grammars and Physics Informed Neural Networks for simulating of pollution propagation on Spitzbergen

Maciej Sikora, Albert Oliver-Serra, Leszek Siwik +6

In this paper, we present two computational methods for performing simulations of pollution propagation described by advection-diffusion equations. The first method employs graph g…

math.NA2022★ 1 cited

Deep neural networks for smooth approximation of physics with higher order and continuity B-spline base functions

Kamil Doległo, Anna Paszyńska, Maciej Paszyński +1

This paper deals with the following important research question. Traditionally, the neural network employs non-linear activation functions concatenated with linear operators to app…