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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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math.NA2026

Stability and Bifurcation Analysis of Nonlinear PDEs via Random Projection-based PINNs: A Krylov-Arnoldi Approach

Gianluca Fabiani, Michail E. Kavousanakis, Constantinos Siettos +1

We present a numerical framework for the stability and bifurcation analysis of nonlinear partial differential equations (PDEs) in which the solutions are sought in the function spa…