46 citations · 99 across the 29 of their papers we have counts for
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Approximating basins of attraction for dynamical systems via stable radial bases
Roberto Cavoretto, Stefano De Marchi, Alessandra De Rossi +2
In applied sciences, such as physics and biology, it is often required to model the evolution of populations via dynamical systems. In this paper, we focus on the problem of approx…
Fast and flexible interpolation via PUM with applications in population dynamics
Alessandra De Rossi, Roberto Cavoretto, Emma Perracchione
In this paper the Partition of Unity Method (PUM) is efficiently performed using Radial Basis Functions (RBFs) as local approximants. In particular, we present a new space-partitio…
Robust approximation algorithms for the detection of attraction basins in dynamical systems
Roberto Cavoretto, Alessandra De Rossi, Emma Perracchione +1
In dynamical systems saddle points partition the domain into basins of attractions of the remaining locally stable equilibria. This problem is rather common especially in populatio…