Artículos de revistas
Gaussian quadrature rules with simple node-weight relations
Fecha
2001-01-01Registro en:
Numerical Algorithms. Bussum: Baltzer Sci Publ Bv, v. 27, n. 1, p. 61-76, 2001.
1017-1398
10.1023/A:1016797317080
WOS:000170557900003
8300322452622467
3587123309745610
0000-0002-6823-4204
Autor
Universidade Estadual Paulista (Unesp)
Institución
Resumen
In this paper, we consider the symmetric Gaussian and L-Gaussian quadrature rules associated with twin periodic recurrence relations with possible variations in the initial coefficient. We show that the weights of the associated Gaussian quadrature rules can be given as rational functions in terms of the corresponding nodes where the numerators and denominators are polynomials of degree at most 4. We also show that the weights of the associated L-Gaussian quadrature rules can be given as rational functions in terms of the corresponding nodes where the numerators and denominators are polynomials of degree at most 5. Special cases of these quadrature rules are given. Finally, an easy to implement procedure for the evaluation of the nodes is described.