Efficient numerical integration using Gaussian Quadrature

被引:9
|
作者
Place, J [1 ]
Stach, J [1 ]
机构
[1] Univ Missouri, Comp Sci Telecommun Program, Kansas City, MO 64110 USA
关键词
numerical integration; simulation support; Gaussian Quadrature;
D O I
10.1177/003754979907300405
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
Simulation engineers are occasionally required to include numerical integration in their simulation models. The technique most often used is the simple "trapezoid method". In this short tutorial, we review Gaussian Quadrature techniques for numerical integration and show how careful deployment of coefficient weights and selection of the number of coefficients can dramatically reduce the work required to produce excellent numerical results.
引用
收藏
页码:232 / 238
页数:7
相关论文
共 50 条
  • [1] NUMERICAL-INTEGRATION RULES NEAR GAUSSIAN QUADRATURE
    MICCHELLI, CA
    RIVLIN, TJ
    ISRAEL JOURNAL OF MATHEMATICS, 1973, 16 (03) : 287 - 299
  • [2] NUMERICAL DIFFERENTIATION USING GAUSSIAN QUADRATURE
    LY, BL
    JOURNAL OF ENGINEERING MECHANICS-ASCE, 1990, 116 (11): : 2568 - 2572
  • [3] Numerical integration of neutrosophic valued function by Gaussian quadrature methods
    Biswas, Suvankar
    Moi, Sandip
    Sarkar, Smita Pal
    ARABIAN JOURNAL OF MATHEMATICS, 2022, 11 (02) : 189 - 211
  • [4] Numerical integration of neutrosophic valued function by Gaussian quadrature methods
    Suvankar Biswas
    Sandip Moi
    Smita Pal Sarkar
    Arabian Journal of Mathematics, 2022, 11 : 189 - 211
  • [5] NUMERICAL DIFFERENTIATION USING GAUSSIAN QUADRATURE - DISCUSSION
    LI, KS
    JOURNAL OF ENGINEERING MECHANICS-ASCE, 1992, 118 (03): : 648 - 650
  • [6] Numerical transform inversion using Gaussian quadrature
    den Iseger, P
    PROBABILITY IN THE ENGINEERING AND INFORMATIONAL SCIENCES, 2006, 20 (01) : 1 - 44
  • [7] A General and Effective Numerical Integration Method to Evaluate Triple Integrals Using Generalized Gaussian Quadrature
    Jayan, Sarada
    Nagaraja, K. V.
    INTERNATIONAL CONFERENCE ON COMPUTATIONAL HEAT AND MASS TRANSFER (ICCHMT) - 2015, 2015, 127 : 1041 - 1047
  • [8] Numerical integration over a disc. A new Gaussian quadrature formula
    Borislav Bojanov
    Guergana Petrova
    Numerische Mathematik, 1998, 80 : 39 - 59
  • [9] A QUADRATURE RULE OF LOBATTO-GAUSSIAN FOR NUMERICAL INTEGRATION OF ANALYTIC FUNCTIONS
    Mohanty, Sanjit Kumar
    Dash, Rajani Ballav
    NUMERICAL ALGEBRA CONTROL AND OPTIMIZATION, 2022, 12 (04): : 705 - 718
  • [10] Numerical integration over a disc. A new Gaussian quadrature formula
    Bojanov, B
    Petrova, G
    NUMERISCHE MATHEMATIK, 1998, 80 (01) : 39 - 59