@article {354, title = {An efficient method to reconstruct invariant manifolds of saddle points}, journal = {Dolomites Research Notes on Approximation}, volume = {10}, year = {2017}, month = {05/2017}, pages = {25-30}, publisher = {Padova University Press}, address = {Padova, IT}, issn = {2035-6803}, author = {Elisa Francomano and Frank M. Hilker and Marta Paliaga and Ezio Venturino} } @article {341, title = {Fast strategy for PU interpolation: An application for the reconstruction of separatrix manifolds}, journal = {Dolomites Research Notes on Approximation}, volume = {9}, year = {2016}, month = {09/2016}, pages = {3-12}, publisher = {Padova University Press}, address = {Padova, IT}, abstract = {
In this paper, the Partition of Unity (PU) method is performed by blending Radial Basis Functions (RBFs) as local approximants and using locally supported weights. In particular, we present a new multidimensional data structure which makes use of an integer-based scheme. This approach allows to perform an optimized space-partitioning structure. Moreover, because of its flexibility, it turns out to be extremely meaningful in the reconstruction of the attraction basins in dynamical systems.