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

IF 0.6 Q3 MATHEMATICS Dolomites Research Notes on Approximation Pub Date : 2016-01-01 DOI:10.14658/PUPJ-DRNA-2016-SPECIAL_ISSUE-2

A. Rossi, E. Perracchione, E. Venturino

引用次数: 8

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.

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PU插补快速策略:在分离矩阵流形重构中的应用

本文通过将径向基函数(rbf)混合作为局部近似，并使用局部支持的权值来实现统一分割(PU)方法。特别地，我们提出了一种新的多维数据结构，它利用了基于整数的方案。这种方法允许执行优化的空间分区结构。此外，由于它的灵活性，对动力系统中吸引盆地的重建具有重要意义。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Dolomites Research Notes on Approximation MATHEMATICS-

CiteScore

1.70

自引率

7.70%

发文量

审稿时长

8 weeks

期刊介绍： Dolomites Research Notes on Approximation is an open access journal that publishes peer-reviewed papers. It also publishes lecture notes and slides of the tutorials presented at the annual Dolomites Research Weeks and Workshops, which have been organized regularly since 2006 by the Padova-Verona Research Group on Constructive Approximation and Applications (CAA) in Alba di Canazei (Trento, Italy). The journal publishes, on invitation, survey papers and summaries of Ph.D. theses on approximation theory, algorithms, and applications.

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