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Volumn 25, Issue 2, 1999, Pages 213-239

Algorithm 793: GQRAT - Gauss quadrature for rational functions

Author keywords

Algorithms; Construction of quadrature rules; D.3.2 programming languages : language classifications FORTRAN 77; G. 1.4 numerical analysis : quadrature and numerical differentiation; Gaussian quadrature exact for rational functions

Indexed keywords


EID: 0003806191     PISSN: 00983500     EISSN: None     Source Type: Journal    
DOI: 10.1145/317275.317282     Document Type: Article
Times cited : (27)

References (10)
  • 1
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    • (1992) Math. Comput. , vol.59 , Issue.200 , pp. 541-546
    • Galant, D.1
  • 2
    • 84966208168 scopus 로고
    • Minimal solutions of three-term recurrence relations and orthogonal polynomials
    • Apr.
    • GAUTSCHI, W. 1981. Minimal solutions of three-term recurrence relations and orthogonal polynomials. Math. Comput. 36, 154 (Apr.), 547-554.
    • (1981) Math. Comput. , vol.36 , Issue.154 , pp. 547-554
    • Gautschi, W.1
  • 3
    • 0001849258 scopus 로고
    • An algorithmic implementation of the generalized Christoffel theorem
    • G. Hämmerlin, Ed. International Series of Numerical Mathematics, Birkhäuser-Verlag, Basel, Switzerland
    • GAUTSCHI, W. 1982. An algorithmic implementation of the generalized Christoffel theorem. In Numerical Integration, G. Hämmerlin, Ed. International Series of Numerical Mathematics, vol. 57. Birkhäuser-Verlag, Basel, Switzerland, 89-106.
    • (1982) Numerical Integration , vol.57 , pp. 89-106
    • Gautschi, W.1
  • 4
    • 0002539172 scopus 로고
    • Gauss-type quadrature rules for rational functions
    • H. Brass and G. Hämmerlin, Eds. International Series of Numerical Mathematics, Birkhäuser-Verlag, Basel, Switzerland
    • GAUTSCHI, W. 1993a. Gauss-type quadrature rules for rational functions. In Numerical Integration IV, H. Brass and G. Hämmerlin, Eds. International Series of Numerical Mathematics, vol. 112. Birkhäuser-Verlag, Basel, Switzerland, 111-130.
    • (1993) Numerical Integration IV , vol.112 , pp. 111-130
    • Gautschi, W.1
  • 5
    • 0027544727 scopus 로고
    • On the computation of generalized Fermi-Dirac and Bose-Einstein integrals
    • GAUTSCHI, W. 1993b. On the computation of generalized Fermi-Dirac and Bose-Einstein integrals. Comput. Phys. Commun. 74, 233-238.
    • (1993) Comput. Phys. Commun. , vol.74 , pp. 233-238
    • Gautschi, W.1
  • 6
    • 0028388229 scopus 로고
    • Algorithm 726: ORTHPOL - A package of routines for generating orthogonal polynomials and Gauss-type quadrature rules
    • Mar. 1994
    • GAUTSCHI, W. 1994. Algorithm 726: ORTHPOL - A package of routines for generating orthogonal polynomials and Gauss-type quadrature rules. ACM Trans. Math. Softw. 20, 1 (Mar. 1994), 21-62.
    • (1994) ACM Trans. Math. Softw. , vol.20 , Issue.1 , pp. 21-62
    • Gautschi, W.1
  • 8
    • 0003734164 scopus 로고    scopus 로고
    • Quadrature formulae of interpolatory rational type
    • May-Jun., In Russian
    • ROVBA, E. A. 1996. Quadrature formulae of interpolatory rational type. Dokl. Akad. Nauk Belarusi 40, 3 (May-Jun.), 42-46. In Russian.
    • (1996) Dokl. Akad. Nauk Belarusi , vol.40 , Issue.3 , pp. 42-46
    • Rovba, E.A.1
  • 9
    • 0026221419 scopus 로고
    • A Gaussian quadrature for the calculation of generalized Fermi-Dirac integrals
    • SAGAR, R. P. 1991. A Gaussian quadrature for the calculation of generalized Fermi-Dirac integrals. Comput. Phys. Commun. 66, 271-275.
    • (1991) Comput. Phys. Commun. , vol.66 , pp. 271-275
    • Sagar, R.P.1
  • 10
    • 21344479934 scopus 로고
    • Quadrature formulas based on rational interpolation
    • Oct.
    • VAN ASSCHE, W. AND VANHERWEGEN, I. 1993. Quadrature formulas based on rational interpolation. Math. Comput. 61, 204 (Oct.), 765-783.
    • (1993) Math. Comput. , vol.61 , Issue.204 , pp. 765-783
    • Van Assche, W.1    Vanherwegen, I.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.