Taylor series based integration with the fluctuation freely approximated remainder over gausswave type basis functions

Süha Tuna*, N. A. Baykara, Metin Demiralp

*Corresponding author for this work

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

3 Citations (Scopus)

Abstract

Fluctuation free integration has recently appeared to be an efficient way to approximate the definite integral of a function and permits us to use various basis set functions in calculations. In accordance with this fact, we use Gauss Wave Type Basis Functions in computations encountered while trying to approximate the integral appearing in the remainder term of the Taylor expansion of the corresponding function. The utilization of this basis set enables us to investigate the role of the localization in the basis set on the performance of the fluctuation free integration.

Original languageEnglish
Title of host publicationInternational Conference of Computational Methods in Sciences and Engineering 2009, ICCMSE 2009
Pages800-803
Number of pages4
DOIs
Publication statusPublished - 2012
Externally publishedYes
EventInternational Conference of Computational Methods in Sciences and Engineering 2009, ICCMSE 2009 - Rhodes, Greece
Duration: 29 Sept 20094 Oct 2009

Publication series

NameAIP Conference Proceedings
Volume1504
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

ConferenceInternational Conference of Computational Methods in Sciences and Engineering 2009, ICCMSE 2009
Country/TerritoryGreece
CityRhodes
Period29/09/094/10/09

Keywords

  • Exponential Functions
  • Fluctuation Expansion
  • Gauss Wave
  • Numerical Integration
  • Quadrature Methods
  • Taylor Polynomials

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