Fast strategy for PU interpolation: An application for the reconstruction of separatrix manifolds

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.

De Rossi A., Perracchione E., Venturino E. (2016) "Fast strategy for PU interpolation: An application for the reconstruction of separatrix manifolds " Dolomites Research Notes on Approximation, 9(Special_Issue), 3-12. DOI: 10.14658/PUPJ-DRNA-2016-Special_Issue-2  
Year of Publication
2016
Journal
Dolomites Research Notes on Approximation
Volume
9
Issue Number
Special_Issue
Start Page
3
Last Page
12
Date Published
09/2016
ISSN Number
2035-6803
Serial Article Number
2
DOI
10.14658/PUPJ-DRNA-2016-Special_Issue-2
Issue
Section
SpecialIssue