AN EXTRAPOLATORY QUADRATURE RULEFOR ANALYTIC FUNCTIONS

Authors

  • P.M.Mohanty S.C.S. College, Puri, INDIA
  • M. Acharya ITER, SOA University, Bhubaneswar, INDIA

DOI:

https://doi.org/10.29121/granthaalayah.v4.i6.2016.2631

Keywords:

Degree Of Precision, Taylors’ Series Expansion, Gauss-Legendre Rules

Abstract [English]

A quadrature rule for the numerical evaluation of integrals of analytic functions along directed line segments in the complex plane has been formulated using the transformed rule based on Gauss Legendre two point quadrature formulas and an interpolatory three point rule. The degree of precision has been increased from five to seven

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References

Acharya, B.P. and Nayak, P., “Numerical Evaluation of integrals of analytic functions”,Int.J.Computer. Math.,59: 245-249,1996. DOI: https://doi.org/10.1080/00207169608804468

Acharya, M., Acharya, B.P. and Pati, S., “Numerical evaluation of integrals of analytic functions”, Int. J. Comput.Math., 87(12):2747-2751, 2010. DOI: https://doi.org/10.1080/00207160902746455

Birkhoff, G. and Young, D., “Numerical quadrature of analytic and harmonic functions”, J.Math. Phy.,29: 217-221, 1950. DOI: https://doi.org/10.1002/sapm1950291217

Lether, F.G., “On Birkhoff-Young quadrature of analytic function”, J.Comp. Appl.Math., 2: 81-84, 1976. DOI: https://doi.org/10.1016/0771-050X(76)90012-7

Milovanovic,G.V.,“Generalised quadrature formulae for analytic functions”, Appl. Math. Computations, 218: 8537-8551, 2012. DOI: https://doi.org/10.1016/j.amc.2012.02.015

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Published

2016-06-30

How to Cite

Mohanty, P., & Acharya, M. (2016). AN EXTRAPOLATORY QUADRATURE RULEFOR ANALYTIC FUNCTIONS. International Journal of Research -GRANTHAALAYAH, 4(6), 8–11. https://doi.org/10.29121/granthaalayah.v4.i6.2016.2631