Quadrature rules for rational functions

Numerische Mathematik

Volumn 86, Issue 4, 2000, Pages 617-633

  Gautschi, Walter ^a   Gori, Laura ^b   Lo Cascio, M Laura ^b  

^a Purdue University   (United States)

^b SAPIENZA UNIVERSITY OF ROME   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034367973     PISSN: 0029599X     EISSN: None     Source Type: Journal    
DOI: 10.1007/PL00005412     Document Type: Article

References (11)

1. Gautschi, W. (1981) A survey of Gauss-Christoffel quadrature formulae. In E.B. Christoffel: The influence of his work on mathematics and the physical sciences, P.L. Butzer, F. Fehér, (eds.) Birkhäuser, Basel, pp. 72-147
2. Gautschi, W. (1993) 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, Basel, pp. 111-130
3. Gautschi, W. (1993) On the computation of generalized Fermi-Dirac and Bose-Einstein integrals, Comput. Phys. Comm. 74, 233-238
4. Gautschi, W. (1999) Algorithm 793: GQRAT - Gauss quadrature for rational functions. ACM Trans. Math. Software 25, 213-239
5. Gautschi, W. (1999) Orthogonal polynomials and quadrature. Electr. Trans. Numer. Math. 9, 65-76
6. Gautschi, W., Milovanović, G.V. (1997) s-orthogonality and construction of GaussTurán-type quadrature formulae. J. Comput. Appl. Math. 86, 205-218
7. Gautschi, W., Waldvogel, J.. Computing the Hilbert transform of the generalized Laguerre and Hermite weight functions (submitted for publication)
8. Laurie, D.P. (1997) Calculation of Gauss-Kronrod quadrature rules. Math. Comp. 66, 1133-1145.
9. López Lagomasino, G. and Illán, J. (1984) A note on generalized quadrature formulas of Gauss-Jacobi type. In Constructive theory of functions. Publ. House Bulgarian Acad. Sci., Sofia, pp. 513-518
10. López Lagomasino, G. and Illán Gonzales, J. (1987) Sobre los métodos interpolatorios de integración numérica y su conexión con la aproximación racional. Rev. Ciencias Matém. 8, (2), 31-44
11. Van Assche, W., Vanherwegen, I. (1993) Quadrature formulas based on rational interpolation. Math. Comp. 61, 765-783