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
来源：
CARPATHIAN JOURNAL OF MATHEMATICS | 2013年 / 29卷 / 01期
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
  • [31] Numerical integration based on hyperfunction theory
    Ogata, Hidenori
    Hirayama, Hiroshi
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2018, 327 : 243 - 259
  • [32] An Integration Free Universal Approximation Method Based on Orthogonal Polynomials
    Yaman, Irem
    Demiralp, Metin
    NUMERICAL ANALYSIS AND APPLIED MATHEMATICS, 2008, 1048 : 601 - 604
  • [33] Interpolation of Chebyshev polynomials and interacting Fock spaces
    Kubo, Izumi
    Kuo, Hui-Hsiung
    Namli, Suat
    INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS, 2006, 9 (03) : 361 - 371
  • [34] A Comparison of Numerical Integration methods and Discontinuity Treatment for EMT Simulations
    Fu, Xiaopeng
    Seye, Serigne Mouhamadou
    Mahseredjian, Jean
    Cai, Ming
    Dufour, Christian
    2018 POWER SYSTEMS COMPUTATION CONFERENCE (PSCC), 2018,
  • [35] A study on numerical integration methods for rendering atmospheric scattering phenomenon
    Galaj, Tomasz
    Wojciechowski, Adam
    OPEN PHYSICS, 2019, 17 (01): : 241 - 249
  • [36] Comparison of Numerical Integration Methods on Highly Nonlinear Biosystems Models
    Constantinescu, Radu-Lucian
    Roman, Monica
    Selisteanu, Dan
    2018 19TH INTERNATIONAL CARPATHIAN CONTROL CONFERENCE (ICCC), 2018, : 55 - 60
  • [37] Application of numerical integration methods to surface characterization by optical deflectometry
    Moreno, Alfonso
    Campos, Juan
    OPTICA PURA Y APLICADA, 2009, 42 (02): : 115 - 124
  • [38] A review of numerical integration methods for real-time simulation
    Howe, RM
    System Simulation and Scientific Computing, Vols 1 and 2, Proceedings, 2005, : A22 - A32
  • [39] An accuracy analysis of Galerkin meshfree methods accounting for numerical integration
    Wu, Junchao
    Wang, Dongdong
    COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2021, 375
  • [40] Test of numerical methods for the integration of kinetic equations in tropospheric chemistry
    Lorenzini, R
    Passoni, L
    COMPUTER PHYSICS COMMUNICATIONS, 1999, 117 (03) : 241 - 249
12345