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20192026
most citedConstructing coarse-scale bifurcation diagrams from spatio-temporal observations of microscopic simulations: A parsimonious machine learning approach

49 citations · 271 across the 22 of their papers we have counts for

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Showing 2021 · math.NAShow all

2 papers · 2 filters

math.NA2021★ 1 cited

Numerical Solution of Stiff ODEs with Physics-Informed RPNNs

Evangelos Galaris, Gianluca Fabiani, Francesco Calabrò +2

We propose a numerical method based on physics-informed Random Projection Neural Networks for the solution of Initial Value Problems (IVPs) of Ordinary Differential Equations (ODEs…

math.NA2021★ 6 cited

Numerical Solution and Bifurcation Analysis of Nonlinear Partial Differential Equations with Extreme Learning Machines

Gianluca Fabiani, Francesco Calabrò, Lucia Russo +1

We address a new numerical scheme based on a class of machine learning methods, the so-called Extreme Learning Machines with both sigmoidal and radial-basis functions, for the comp…