Convergence acceleration of the Gauss-Laguerre quadrature formula

被引：9
|
作者：
Kzaz, M
机构：
[1] Univ Cadi Ayyad, Fac Sci & Tech, Dept Math & Informat, Marrakech, Morocco
[2] Fac Sci Semlalia, Dept Math, Marrakech, Morocco
来源：
APPLIED NUMERICAL MATHEMATICS | 1999年 / 29卷 / 02期
关键词：
acceleration of convergence; asymptotic expansion; orthogonal polynomials; Gaussian quadrature;
D O I：
10.1016/S0168-9274(98)00075-0
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Asymptotic expansions have been obtained for the error of the Gauss-Laguerre quadrature formula for a large class of analytic integrands. Then, a theorem of convergence acceleration is given. Numerical examples are also given. (C) 1999 Elsevier Science B.V. and IMACS. All rights reserved.
引用
收藏
页码：201 / 220
页数：20
相关论文
共 50 条
  • [41] The use of Gauss-Laguerre vector beams in STED microscopy
    Török, P
    Munro, PRT
    OPTICS EXPRESS, 2004, 12 (15): : 3605 - 3617
  • [42] Markovian motion field regularization based on the Gauss-Laguerre transform
    Carli, M
    Jacovitti, G
    Neri, A
    VISUAL COMMUNICATIONS AND IMAGE PROCESSING 2001, 2001, 4310 : 372 - 381
  • [43] APPLICATION OF THE GAUSS-LAGUERRE AND RADAU-LAGUERRE QUADRATURE-RULES TO THE NUMERICAL-SOLUTION OF CAUCHY TYPE SINGULAR INTEGRAL-EQUATIONS
    IOAKIMIDIS, NI
    COMPUTERS & STRUCTURES, 1981, 14 (1-2) : 63 - 70
  • [44] Gauss-Laguerre modes parameters of curved optical fiber with coating
    Burdin, Vladimir A.
    Bourdine, Anton, V
    Zhukov, Alexander E.
    Praporshchikov, Denis E.
    OPTICAL TECHNOLOGIES FOR TELECOMMUNICATIONS 2019, 2020, 11516
  • [45] Rotation of multimode Gauss-Laguerre light beams in free space
    Kotlyar, VV
    Soifer, VA
    Khonina, SN
    TECHNICAL PHYSICS LETTERS, 1997, 23 (09) : 657 - 658
  • [46] EDGELET TRACKING USING GAUSS-LAGUERRE CIRCULAR HARMONIC FILTERS
    Sorgi, Lorenzo
    2011 18TH IEEE INTERNATIONAL CONFERENCE ON IMAGE PROCESSING (ICIP), 2011,
  • [47] GAUSS-LAGUERRE CALCULATION OF FREE-FREE GAUNT FACTORS
    ARMSTRONG, BH
    JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER, 1971, 11 (11): : 1731 - +
  • [48] Spatial-temporal Gauss-Laguerre waves in dispersive media
    Longhi, S
    PHYSICAL REVIEW E, 2003, 68 (06):
  • [49] Mobius strips and twisted ribbons in intersecting Gauss-Laguerre beams
    Freund, Isaac
    OPTICS COMMUNICATIONS, 2011, 284 (16-17) : 3816 - 3845
  • [50] Rotation of multimode Gauss-Laguerre light beams in free space
    V. V. Kotlyar
    V. A. Soifer
    S. N. Khonina
    Technical Physics Letters, 1997, 23 : 657 - 658
12345