Convergence acceleration of the Gauss-Laguerre quadrature formula

Applied Numerical Mathematics

Volumn 29, Issue 2, 1999, Pages 201-220

  Kzaz, M ^a,b  

^a FACULTÉ DES SCIENCES ET TECHNIQUES GUÉLIZ   (Morocco)

^b FACULTÉ DES SCIENCES SEMLALIA   (Morocco)

Author keywords

Acceleration of convergence; Asymptotic expansion; Gaussian quadrature; Orthogonal polynomials

Indexed keywords

ALGEBRA; ALGORITHMS; ASYMPTOTIC STABILITY; EXTRAPOLATION; INTEGRATION; POLYNOMIALS;

ASYMPTOTIC EXPANSION; CONVERGENCE ACCELERATION; GAUSS LAGUERRE QUADRATURE FORMULA; ORTHOGONAL POLYNOMIALS;

CONVERGENCE OF NUMERICAL METHODS;

EID: 0033076203     PISSN: 01689274     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0168-9274(98)00075-0     Document Type: Article

References (9)

1. C. Brezinski and M. Redivo-Zaglia, Extrapolation Methods. Theory and Practice (North-Holland, Amsterdam, 1991).
2. J. Dieudonne, Calcul Infinitésimal (Herman, Paris, 1968).
3. J.D. Donaldson and D. Elliot, A unified approach to quadrature rules with asymptotic estimates of their remainders, SIAM J. Numer. Anal. 9 (1972) 573-602.
4. D. Elliot, Uniform asymptotic expansions of the classical orthogonal polynomials and some associated functions, Technical Report No. 21, University of Tasmania (1968).
5. n and an application of these expansions, Technical Report No. 32, University of Tasmania (1970).
6. A. Fdil, Some results of convergence acceleration for a general θ-type algorithm, Appl. Numer. Math. 20 (1997) 1-22.
7. Y.L. Luke, The Special Functions and Their Approximations, Vol. I, Mathematics in Science and Engineering, Vol. 53-1 (Springer, New York, 1971).
8. G. Szegö, Orthogonal Polynomials, 3rd ed. (Amer. Math. Soc., Providence, RI, 1967).
9. P. Verlinden, Acceleration of Gauss-Legendre quadrature for an integrand with an endpoint singularity, J. Comput. Appl. Math. 77 (1997) 277-287.