数学物理学报(英文版) ›› 2004, Vol. 24 ›› Issue (1): 9-27.

• 论文 • 上一篇    下一篇

ON QUADRATURE FORMULAE FOR SINGULAR |INTEGRALS OF ARBITRARY ORDER

杜金元   

  1. Department of Mathematics, Wuhan University, Wuhan 430072, China
    Department of Mathematics, Hubei Institute for Nationalities, Enshi 445000, China
  • 出版日期:2004-07-13 发布日期:2004-07-13
  • 基金资助:

    Supported by NNSF and RFDP of Higher Education of China.

ON QUADRATURE FORMULAE FOR SINGULAR |INTEGRALS OF ARBITRARY ORDER

 DU Jin-Yuan   

  • Online:2004-07-13 Published:2004-07-13
  • Supported by:

    Supported by NNSF and RFDP of Higher Education of China.

摘要:

t Some quadrature formulae for the numerical evaluation of singular integrals
of arbitrary order are established and both the estimate of remainder and the convergence
of each quadrature formula derived here are also given.

Abstract:

t Some quadrature formulae for the numerical evaluation of singular integrals
of arbitrary order are established and both the estimate of remainder and the convergence
of each quadrature formula derived here are also given.

Key words: Peano derivative;generalized Hermite interpolation, singular integral of arbitrary order, singular quadrature formula

中图分类号: 

  • 41A55