Estimation of error in approximate numerical integration near a simple pole using Chebyshev points

Subhas Chandra Bose; Madhav Chandra Kundu

Aplikace matematiky (1980)

  • Volume: 25, Issue: 6, page 400-407
  • ISSN: 0862-7940

Abstract

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In this note quadrature formula with error estimate for functions with simple pole is discussed. Chebyshev points of the second kind are used as the nodes of integration.

How to cite

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Bose, Subhas Chandra, and Kundu, Madhav Chandra. "Estimation of error in approximate numerical integration near a simple pole using Chebyshev points." Aplikace matematiky 25.6 (1980): 400-407. <http://eudml.org/doc/15166>.

@article{Bose1980,
abstract = {In this note quadrature formula with error estimate for functions with simple pole is discussed. Chebyshev points of the second kind are used as the nodes of integration.},
author = {Bose, Subhas Chandra, Kundu, Madhav Chandra},
journal = {Aplikace matematiky},
keywords = {quadrature formula; error estimate; functions with simple pole; Chebyshev points; quadrature formula; error estimate; functions with simple pole; Chebyshev points},
language = {eng},
number = {6},
pages = {400-407},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Estimation of error in approximate numerical integration near a simple pole using Chebyshev points},
url = {http://eudml.org/doc/15166},
volume = {25},
year = {1980},
}

TY - JOUR
AU - Bose, Subhas Chandra
AU - Kundu, Madhav Chandra
TI - Estimation of error in approximate numerical integration near a simple pole using Chebyshev points
JO - Aplikace matematiky
PY - 1980
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 25
IS - 6
SP - 400
EP - 407
AB - In this note quadrature formula with error estimate for functions with simple pole is discussed. Chebyshev points of the second kind are used as the nodes of integration.
LA - eng
KW - quadrature formula; error estimate; functions with simple pole; Chebyshev points; quadrature formula; error estimate; functions with simple pole; Chebyshev points
UR - http://eudml.org/doc/15166
ER -

References

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  1. N. I. Achieser, Theory of approximation, (translated by C. J. Hyman). Frederick Ungar Publishing Co., New York, 1956. (1956) Zbl0072.28403MR0095369
  2. N. K. Basu, Approximate integration near a simple pole using Chebyshev abscissas, Mathematica, Vol. 13 (36), 5-11 (1971). (1971) MR0301898
  3. E. Isaacson H. B. Keller, Analysis of numerical methods, John Wiley and Sons, Inc., New York, 1966. (1966) MR0201039
  4. M. C. Kundu, Approximate integration near a simple pole using Chebyshev points of the second kind, Bulletin Mathematique, T. 21 (69), nr. 3-4(1977). (1977) Zbl0368.65018MR0474711
  5. W. A. Markoff, 10.1007/BF01456902, Math. Ann. 77, 213-258 (1916). (1916) MR1511855DOI10.1007/BF01456902
  6. G. Opitz, 10.1002/zamm.19610410607, ZAMM, 41, 263-264 (1961). (1961) Zbl0102.11703MR0126104DOI10.1002/zamm.19610410607

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