Skip to main content
SpringerLink
Log in

A fluctuation removal based univariate integration over prescribed nodes

One node fluctuation free integration under higher order set of conditions with an extension to multinode case

  • Original Paper
  • Published:
Journal of Mathematical Chemistry Aims and scope Submit manuscript

Abstract

This work aims at the evaluation of a univariate integral based on one node fluctuation free integration and by using exponential weight function. This is the companion of a paper presenting fundamental aspects of one node integration. In contrast to companion paper, this paper deals with more than one conditions. We construct weight function generating subspace which has three parts: (1) Eigenpolynomials, (2) Principle polynomials, (3) Unaffecting polynomials. The exponential weight function is used as the most important agent to this end. An extension to multinode case is also given.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Demiralp M.: J. Math. Chem. 47, 99 (2010)

    Article  CAS  Google Scholar 

  2. N. Altay, M. Demiralp, J. Math. Chem. doi:10.1007/s10910-009-9657-7

  3. Demiralp M.: WSEAS Trans. Maths. 6, 258 (2009)

    Google Scholar 

  4. Tunga B., Demiralp M.: Numer. Algor. 52, 435 (2009)

    Article  Google Scholar 

  5. M. Demiralp, The application of the fluctuation expansion with extended basis set to numerical integration, in Proceedings of the 2nd WSEAS International Conference on Multivariate Analysis and its Application in Science and Engineering 93 (2009)

  6. M. Demiralp, A new fluctuation expansion based method for the univariate numerical integration under Gaussian weights, in Proceedings of the 8th WSEAS International Conference on Applied Mathematics 68 (2005)

  7. M. Demiralp, Proc. Int. Conf. Numer. Anal. Appl. Maths. 711 (2005)

  8. N. Altay, M. Demiralp, Proc. 1st WSEAS Int. Conf. Multivar. Anal. Appl. Sci. Eng. 162 (2008)

  9. N. Altay, M. Demiralp, WSEAS Trans. Maths. 199 (2009)

  10. A. Kurşunlu, M. Demiralp, J. Math. Chem. doi:10.1007/s10910-010-9749-4

Download references

Author information

Authors and Affiliations

  1. Scientific and Technological Research Council of Turkey (TUBITAK), National Research Institute of Electronics and Cryptology (UEKAE), 41470, Gebze, Kocaeli, Turkey

    Ayşegül Kurşunlu

  2. Informatics Institute, Department of Computational Science and Engineering, Istanbul Technical University, 34469, Istanbul, Turkey

    Ayşegül Kurşunlu & Metin Demiralp

Authors
  1. Ayşegül Kurşunlu
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Metin Demiralp
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Ayşegül Kurşunlu.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kurşunlu, A., Demiralp, M. A fluctuation removal based univariate integration over prescribed nodes. J Math Chem 49, 428–443 (2011). https://doi.org/10.1007/s10910-010-9750-y

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10910-010-9750-y

Keywords

Search

Navigation