Gauss-Hermite interval quadrature rule

被引：4
|
作者：
Milovanovic, Gradimir V. [1 ]
Cvetkovic, Aleksandar S. [1 ]
机构：
[1] Univ Nis, Fac Elect Engn, Dept Math, Nish 18000, Serbia
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2007年 / 54卷 / 04期
关键词：
interval Gaussian quadrature rule; Hermite weight function; nodes; weights;
D O I：
10.1016/j.camwa.2007.01.027
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The existence and uniqueness of the Gaussian interval quadrature formula with respect to the Hermite weight function on R is proved. Similar results have been recently obtained for the Jacobi weight on [-1, 1] and for the generalized Laguerre weight on [0, +infinity). Numerical construction of the Gauss-Hermite interval quadrature rule is also investigated, and a suitable algorithm is proposed. A few numerical examples are included. (c) 2007 Elsevier Ltd. All rights reserved.
引用
收藏
页码：544 / 555
页数：12
相关论文
共 50 条
  • [41] THE USE OF GAUSS-HERMITE QUADRATURE IN THE DETERMINATION OF THE MOLECULAR WEIGHT DISTRIBUTION OF LINEAR POLYMERS BY RHEOMETRY
    Farias, T. M.
    Cardozo, N. S. M.
    Secchi, A. R.
    [J]. BRAZILIAN JOURNAL OF CHEMICAL ENGINEERING, 2013, 30 (04) : 909 - 921
  • [42] Generalized Correntropy Sparse Gauss-Hermite Quadrature Filter for Epidemic Tracking on Complex Networks
    Wang, Wanli
    Tse, Chi K.
    Wang, Shiyuan
    [J]. IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS, 2022, 52 (05): : 2770 - 2778
  • [43] Numerical Solution of the Linear Fractional Delay Differential Equation Using Gauss-Hermite Quadrature
    Aljawi, Salma
    Aljohani, Sarah
    Kamran
    Ahmed, Asma
    Mlaiki, Nabil
    [J]. SYMMETRY-BASEL, 2024, 16 (06):
  • [44] Anisotropic Sparse Gauss-Hermite Quadrature Filter (vol 35, pg 1014, 2012)
    Jia, Bin
    Xin, Ming
    Cheng, Yang
    [J]. JOURNAL OF GUIDANCE CONTROL AND DYNAMICS, 2012, 35 (05) : 1687 - 1687
  • [45] Use of Gauss-Hermite quadrature in the treatment of predissociation resonances with the complex-scaling method
    [J]. J Chem Phys, 8 (3014):
  • [46] On-line Battery State of Charge Estimation using Gauss-Hermite Quadrature Filter
    Li, Jianwei
    Jia, Bin
    Mazzola, Michael
    Xin, Ming
    [J]. 2012 TWENTY-SEVENTH ANNUAL IEEE APPLIED POWER ELECTRONICS CONFERENCE AND EXPOSITION (APEC), 2012, : 434 - 438
  • [47] Uncertainty quantification for delineation of wellhead protection areas using the Gauss-Hermite quadrature approach
    Levy, J
    Ludy, EE
    [J]. GROUND WATER, 2000, 38 (01) : 63 - 75
  • [48] Maximum correntropy sparse Gauss-Hermite quadrature filter and its application in tracking ballistic missile
    Qin, Wutao
    Wang, Xiaogang
    Cui, Naigang
    [J]. IET RADAR SONAR AND NAVIGATION, 2017, 11 (09): : 1388 - 1396
  • [49] Carrier-aircraft transfer alignment filter based on sparse Gauss-Hermite quadrature algorithm
    [J]. Mu, Rong-Jun, 1600, Editorial Department of Journal of Chinese Inertial Technology (22):
  • [50] Maximum Correntropy Square Root Gauss-Hermite Quadrature Information Filter for Multiple Sensor Estimation
    Tao Lu
    Weidong Zhou
    Zimo Fan
    Hongchen Bian
    [J]. Circuits, Systems, and Signal Processing, 2023, 42 : 6296 - 6323
12345