Fluctuationlessness approximation based multivariate integration in hybrid high dimensional model representation

Burcu Tunga*, Metin Demiralp

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

12 Citations (Scopus)

Abstract

This paper focuses on multivariate integration via fluctuationlessness approximation in hybrid High Dimensional Model Representation (HHDMR) for multivariate functions. The basic idea here is to bypass the N-tuple integration with the help of the fluctuationlessness approximation as a quite powerful method for integral evaluations. This method decreases the computational complexity of the HHDMR method in computer based applications. Furthermore, by using this method, we are able to get rid of evaluating complicated integral structures.

Original languageEnglish
Title of host publicationNumerical Analysis and Applied Mathematics - International Conference on Numerical Analysis and Applied Mathematics 2008
Pages562-565
Number of pages4
DOIs
Publication statusPublished - 2008
EventInternational Conference on Numerical Analysis and Applied Mathematics, ICNAAM 2008 - Psalidi, Kos, Greece
Duration: 16 Sept 200820 Sept 2008

Publication series

NameAIP Conference Proceedings
Volume1048
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

ConferenceInternational Conference on Numerical Analysis and Applied Mathematics, ICNAAM 2008
Country/TerritoryGreece
CityPsalidi, Kos
Period16/09/0820/09/08

Keywords

  • Approximation
  • Fluctuationlessness approximation
  • High dimensional model representation
  • Multivariate analysis

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