Some numerical integration methods based on interpolation polynomials

被引:0
|
作者
Acu, Ana Maria [1 ]
Sofonea, Daniel Florin [1 ]
机构
[1] Univ Lucian Blaga Sibiu, Dept Math & Informat, Sibiu 550012, Romania
关键词
Quadrature formulas of Gauss type; numerical integration; orthogonal polynomials;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper we have considered the asymptotic expressions for remainder term of quadrature formulas of the interpolator type. We derive some corrected versions of the quadrature formulas of interpolatory type, which provide a better approximation accuracy than the original rules. A method to improve the degree of exactness of the quadrature formulas is also considered. A numerical example of the proposed method is given.
引用
收藏
页码:1 / 8
页数:8
相关论文
共 50 条
  • [41] On numerical integration methods with T-distribution weight function
    Babolian, E
    Masjed-Jamei, M
    Eslahchi, MR
    Dehghan, M
    APPLIED MATHEMATICS AND COMPUTATION, 2006, 174 (02) : 1314 - 1320
  • [42] On Some Numerical Integration Formulas on the d-Dimensional Simplex
    Filomena Di Tommaso
    Benaissa Zerroudi
    Mediterranean Journal of Mathematics, 2020, 17
  • [43] On Some Numerical Integration Formulas on the d-Dimensional Simplex
    Di Tommaso, Filomena
    Zerroudi, Benaissa
    MEDITERRANEAN JOURNAL OF MATHEMATICS, 2020, 17 (05)
  • [44] Kalman filter for 3D motion estimation via Lagrange interpolation and numerical integration
    Hou, FL
    Zhu, F
    IEEE ROBIO 2004: PROCEEDINGS OF THE IEEE INTERNATIONAL CONFERENCE ON ROBOTICS AND BIOMIMETICS, 2004, : 693 - 699
  • [45] A numerical integration formula based on the Bessel functions
    Ogata, H
    PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES, 2005, 41 (04) : 949 - 970
  • [46] Numerical Integration Based on Evolutionary Functional Network
    Du, Yanlian
    Zhou, Yongquan
    INTERNATIONAL CONFERENCE ON GRAPHIC AND IMAGE PROCESSING (ICGIP 2012), 2013, 8768
  • [47] A Numerical Integration Method Based on Fireworks Algorithm
    Guan, Jun-xia
    Su, Qing-hua
    Wang, Li
    Chen, Yu
    INTERNATIONAL CONFERENCE ON ARTIFICIAL INTELLIGENCE: TECHNIQUES AND APPLICATIONS, AITA 2016, 2016, : 190 - 195
  • [48] Energy Consumption Measurements Based on Numerical Integration
    Votava, Jan
    Kyncl, Jan
    Straka, Libor
    PROCEEDINGS OF THE 2018 19TH INTERNATIONAL SCIENTIFIC CONFERENCE ON ELECTRIC POWER ENGINEERING (EPE), 2018,
  • [49] High order Bessel fitting methods for the numerical integration of the Schrodinger equation
    Vigo-Aguiar, J
    COMPUTERS & CHEMISTRY, 2001, 25 (01): : 97 - 100
  • [50] Numerical integration methods and layout improvements in the context of dynamic RNA visualization
    Shabash, Boris
    Wiese, Kay C.
    BMC BIOINFORMATICS, 2017, 18