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Original Articles

Gaussian integration of functions with branch point singularities

Pages 297-306 | Published online: 21 Dec 2010

References

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  • Chawla , M. M. and Jain , M. K. 1968 . Asymptotic Error Estimates for the Gauss Quadrature Formula . Math. Comp. , 22 : 91 – 97 .
  • Davis , P. J. and Rabinowitz , P. 1956 . On the Estimation of Quadrature Errors for Analytic Functions . MTAC , 10 : 1 – 8 .
  • Davis , P. J. and Rabinowitz , P. 1967 . Numerical Integration , Waltham, Mass : Blaisdell .
  • Elliott , D. 1964 . The Evaluation and Estimation of the Coefficients in the Chebyshev Series Expansion of a Function . Math. Comp. , 18 : 274 – 284 .
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  • Nicholson D. Rabinowitz P. Richter N. Zeilberger D. On the Error in the Numerical Integration of Chebshev Polynomials Math. Comp. (to appear)
  • Rabinowitz , P. 1968 . Error Bounds in Gaussian Integration of Functions of Low-order Continuity . Math. Comp. , 22 : 431 – 434 .
  • Stroud , A. H. 1966 . Estimating Quadrature Errors for Functions with Low Continuity . SIAMJ. Numer. Anal. , 3 : 420 – 424 .

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