Skip to main content
SpringerLink
Log in

On numerical evaluation of double integrals of an analytic function of two complex variables

  • Part II Numerical Mathematics
  • Published:
BIT Numerical Mathematics Aims and scope Submit manuscript

Abstract

A seventh degree rule of the non-product type has been constructed for numerical evaluation of double integrals of an analytic function of two complex variables by choosing a set of 17 points from the set of 25 points needed in the product Birkhoff-Young rule of fifth degree. An asymptotic error estimate for this rule has been determined and the rule has been numerically tested.

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. B. P. Acharya and R. N. Das,On numerical integration of analytic functions of more than one variable, J. Math. Phys. Sci. 15 (1981), pp. 399–408.

    Google Scholar 

  2. B. P. Acharya and R. N. Das,Approximative evaluation of the multiple complex integrals of analytic functions, Computing 30 (1983), pp. 279–283.

    Google Scholar 

  3. G. Birkhoff and D. Young,Numerical quadrature of analytic and harmonic functions, J. Math. Phys. 29 (1950), pp. 217–221.

    Google Scholar 

  4. R. N. Das, S. Padhy and B. P. Acharya,Numerical quadrature of analytic functions of more than one variable, J. Math. Phys. Sci. 15 (1981), pp. 573–579.

    Google Scholar 

  5. H. Engels,Numerical Quadrature and Cubature, Academic Press, London, 1980.

    Google Scholar 

  6. S. Haber,The numerical evaluation of multiple integrals. SIAM Review 12 (1970), pp. 481–526.

    Google Scholar 

  7. F. G. Lether,On Birkhoff-Young quadrature of analytic functions, J. Comput. Appl. Math. 2 (1976), pp. 81–84.

    Google Scholar 

  8. A. H. Stroud,Approximate Calculation of Multiple Integrals, Prentice-Hall, New Jersey, 1971.

    Google Scholar 

  9. D. Tošić,A modification of the Birkhoff-Young quadrature formula for analytical functions, Univ. Beograd. Publ. Elektrotehn. Fak. Ser. Mat. Fiz. No 601 – No 633 (1978), pp. 73–77.

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, Faculty of Electronic Engineering, Beogradska 14, P.O. Box 73, 18000, Niš, Yugoslavia

    G. V. Milovanović

  2. P. G. Department of Mathematics, Utkal University, 751004, Bhubaneswar, India

    B. P. Acharya & T. N. Pattnaik

Authors
  1. G. V. Milovanović
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. B. P. Acharya
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. T. N. Pattnaik
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Milovanović, G.V., Acharya, B.P. & Pattnaik, T.N. On numerical evaluation of double integrals of an analytic function of two complex variables. BIT 26, 521–526 (1986). https://doi.org/10.1007/BF01935057

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01935057

Keywords

Search

Navigation