Bibliography for Chebyshev Quadrature

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  1. Convergence Acceleration of Gauss-Chebyshev Quadrature Formulae
    Kzaz, M.; Prevost, M.
    Numerical Algorithms, 2003, vol. 34, no. 2/4, pp. 379-391, Ingenta.  
  2. H2-optimal quadrature formula with Chebyshev weight of the second kind. Justification of the nodes asymptotics
    Samokish, B. A.
    St Petersburg Mathematical Journal, 2002, vol. 13, no. 5, pp. 827-858, Ingenta.  
  3. A Chebyshev quadrature rule for one sided finite part integrals.  
    Kim, Philsu
    J. Approx. Theory  111  (2001),  no. 2, 196--219, MathSciNet.  
  4. Generalized Gaussian Quadrature Formulas with Chebyshev Nodes.
    Shi, Ying-guang
    Journal of computational mathematics, 1999, vol. 17, no. 2, pp. 171-178, Ingenta.  
  5. Gauss-Chebyshev quadrature formulae for strongly singular integrals
    Korsunsky, Alexander M.  
    Quarterly of Applied Mathematics, v 56, n 3, Sep, 1998, p 461-472, Compendex.
  6. Interpolatory quadrature formulae with Chebyshev abscissae of the third or fourth kind.
    Notaris, S.E.
    Journal of computational and applied mathematics, 1997, vol. 81, no. 1, pp. 83, Ingenta.  
  7. Chebyshev-Type Quadrature and Partial Sums of the Exponential Series  
    Arno Kuijlaars
    Mathematics of Computation, Vol. 64, No. 209. (Jan., 1995), pp. 251-263, Jstor.  
  8. Chebyshev quadrature for measures with a strong singularity.
    Kuijlaars, A. B. J.
    Journal of Computational and Applied Mathematics. 65 (1995), no. 1-3, 207--214, MathSciNet.  
  9. On a Theorem of C. Posse Concerning Gaussian Quadrature of Chebyshev Type  
    Klaus-Jurgen Forster
    Mathematics of Computation, Vol. 62, No. 206. (Apr., 1994), pp. 719-724, Jstor.  
  10. Chebyshev-Type Quadrature on Multidimensional Domains.
    Meyers, J.L.H.; Korevaar, J.
    Journal of approximation theory, 1994, vol. 79, no. 1, pp. 144, Ingenta.  
  11. The minimal number of nodes in Chebyshev type quadrature formulas.
    Kuijlaars, Arno
    Indagationes mathematicae, 1993, vol. 4, no. 3, pp. 339, Ingenta.  
  12. On Gauss-Kronrod Quadrature Formulae of Chebyshev Type  
    Sotirios E. Notaris  
    Mathematics of Computation, Vol. 58, No. 198. (Apr., 1992), pp. 745-753, Jstor.  
  13. A Note on the Contour Integral Representation of the Remainder Term for a Gauss-Chebyshev Quadrature Rule  
    Walter Gautschi; E. Tychopoulos; R. S. Varga  
    SIAM Journal on Numerical Analysis, Vol. 27, No. 1. (Feb., 1990), pp. 219-224, Jstor.  
  14. Weight Functions for Chebyshev Quadrature  
    Yuan Xu  
    Mathematics of Computation, Vol. 53, No. 187. (Jul., 1989), pp. 297-302, Jstor.  
  15. On Chebyshev quadrature and variance of quadrature formulas.
    Förster, Klaus-Jürgen
    BIT 28 (1988), no. 2, 360--363, MathSciNet.  
  16. On Weight Functions Admitting Chebyshev Quadrature  
    Klaus-Jurgen Forster  
    Mathematics of Computation, Vol. 49, No. 179. (Jul., 1987), pp. 251-258, Jstor.  
  17. On Weighted Chebyshev-Type Quadrature Formulas  
    Klaus-Jurgen Forster, Georg-Peter Ostermeyer  
    Mathematics of Computation, Vol. 46, No. 174. (Apr., 1986), pp. 591-599, Jstor.  
  18. Supplement to On Weighted Chebyshev-Type Quadrature Formulas  
    Klaus-Jurgen Forster, Georg-Peter Ostermeyer  
    Mathematics of Computation, Vol. 46, No. 174. (Apr., 1986), pp. S21-S27, Jstor.  
  19. Corrigendum: "Generalized Chebyshev interpolation and its application to automatic quadrature"
    Hasegawa, Takemitsu
    Math. Comp. 47 (1986), no. 175, 385, MathSciNet.
  20. A Chebyshev-type quadrature for eighteen nodes.    
    Matsuda, Takashi; Yanagiwara, Hiroki    
    Bull. Fukuoka Univ. Ed. III 35 (1985), 47--49 (1986), MathSciNet.  
  21. Chebyshev Quadrature Rules for a New Class of Weight Functions  
    Paul F. Byrd, Lawrence Stalla  
    Mathematics of Computation, Vol. 42, No. 165. (Jan., 1984), pp. 173-181, Jstor.  
  22. Generalized Chebyshev Interpolation and Its Application to Automatic Quadrature  
    Takemitsu Hasegawa, Tatsuo Torii, Ichizo Ninomiya  
    Mathematics of Computation, Vol. 41, No. 164. (Oct., 1983), pp. 537-553, Jstor.  
  23. On the existence of approximate solutions for singular integral equations of Cauchy type discretized by Gauss-Chebyshev quadrature formulae.
    Gerasoulis, Apostolos
    BIT 21 (1981), no. 3, 377--380, MathSciNet.  
  24. Advances in Chebyshev quadrature.  
    Gautschi, Walter
    Numerical analysis (Proc. 6th Biennial Dundee Conf., Univ. Dundee, Dundee, 1975),  pp. 100--121. Lecture Notes in Math., Vol. 506, Springer, Berlin, 1976, MathSciNet.  
  25. Nonexistence of Chebyshev-Type Quadratures on Infinite Intervals  
    Walter Gautschi  
    Mathematics of Computation, Vol. 29, No. 129. (Jan., 1975), pp. 93-99, Jstor.  
  26. On Chebyshev-Type Quadratures  
    Walter Gautschi; Hiroki Yanagiwara  
    Mathematics of Computation, Vol. 28, No. 125. (Jan., 1974), pp. 125-134, Jstor.  
  27. Almost-Interpolatory Chebyshev Quadrature  
    K. Salkauskas  
    Mathematics of Computation, Vol. 27, No. 123. (Jul., 1973), pp. 645-654, Jstor.  
  28. Concerning Gaussian-Chebyshev Quadrature Errors  
    Charles K. Chui  
    SIAM Journal on Numerical Analysis, Vol. 9, No. 2. (Jun., 1972), pp. 237-240, Jstor.  
  29. On the Gaussian Integration of Chebyshev Polynomials  
    A. R. Curtis, P. Rabinowitz  
    Mathematics of Computation, Vol. 26, No. 117. (Jan., 1972), pp. 207-211, Jstor.  
  30. A Note on Error Bounds for Gauss-Chebyshev Quadrature  
    R. D. Riess  
    SIAM Journal on Numerical Analysis, Vol. 8, No. 3. (Sep., 1971), pp. 509-511, Jstor.  
  31. On the Error in the Numerical Integration of Chebyshev Polynomials  
    D. Nicholson, P. Rabinowitz, N. Richter, D. Zeilberger  
    Mathematics of Computation, Vol. 25, No. 113. (Jan., 1971), pp. 79-86, Jstor.  
  32. Best Chebyshev quadratures.
    Franke, Richard
    Rocky Mountain J. Math. 1 1971 no. 3, 499--508, MathSciNet.  
  33. Error Estimates for a Chebyshev Quadrature Method  
    N. K. Basu  
    Mathematics of Computation, Vol. 24, No. 112. (Oct., 1970), pp. 863-867, Jstor.  
  34. Chebyshev Type Quadrature Formulas  
    David K. Kahaner  
    Mathematics of Computation, Vol. 24, No. 111. (Jul., 1970), pp. 571-574, Jstor.  
  35. Chebyshev-Type Integration Rules of Minimum Norm  
    Philip Rabinowitz, Nira Richter  
    Mathematics of Computation, Vol. 24, No. 112. (Oct., 1970), pp. 831-845, Jstor.  
  36. Error Bounds for Some Chebyshev Methods of Approximation and Integration  
    Christopher T. H. Baker, Pauline A. Radcliffe  
    SIAM Journal on Numerical Analysis, Vol. 7, No. 2. (Jun., 1970), pp. 317-327, Jstor.  
  37. Estimating Gauss-Chebyshev Quadrature Errors  
    R. D. Riess, L. W. Johnson  
    SIAM Journal on Numerical Analysis, Vol. 6, No. 4. (Dec., 1969), pp. 557-559, Jstor.  
  38. New Type of Chebyshev Quadrature (in Technical Notes and Short Papers)  
    R. E. Barnhill, J. E. Dennis, Jr., G. M. Nielson  
    Mathematics of Computation, Vol. 23, No. 106. (Apr., 1969), pp. 437-441, Jstor.  
  39. Construction of Chebyshev Quadrature Formulae (in Classroom Notes)  
    K. Salkauskas  
    American Mathematical Monthly, Vol. 75, No. 10. (Dec., 1968), pp. 1099-1101, Jstor.  
  40. Error Bounds for the Gauss-Chebyshev Quadrature Formula of the Closed Type (in Technical Notes and Short Papers)  
    M. M. Chawla  
    Mathematics of Computation, Vol. 22, No. 104. (Oct., 1968), pp. 889-891, Jstor.  
  41. Error Bounds for Gauss-Chebyshev Quadrature (in Technical Notes and Short Papers)  
    Franz Stetter  
    Mathematics of Computation, Vol. 22, No. 103. (Jul., 1968), pp. 657-659, Jstor.  
  42. The Non-Existence of Certain Laguerre-Chebyshev Quadrature Formulas
    F. D. Burgoyne
    Mathematics of Computation, Vol. 17, No. 82. (Apr., 1963), pp. 196-197, Jstor.  
  43. Tables for facilitating the use of Chebyshev's quadrature formula.
    Salzer, Herbert E.
    J. Math. Phys. Mass. Inst. Tech. 26, (1947). 191--194, MathSciNet.  

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2004