133
Views
8
CrossRef citations to date
0
Altmetric
Section B

Numerical analysis for Cauchy principal value integrals of oscillatory kind

Pages 701-710 | Received 31 Aug 2011, Accepted 28 Dec 2011, Published online: 27 Feb 2012

References

  • Abramowitz , M. and Stegun , I. A. 1964 . “ Handbook of Mathematical Functions ” . Washington , DC : National Bureau of Standards .
  • Capobianco , M. R. and Criscuolo , G. 2003 . On quadrature for Cauchy principal value integrals of oscillatory functions . J. Comput. Appl. Math , 156 : 471 – 486 .
  • Davis , P. I. and Rabinowitz , P. 1984 . Methods of Numerical Integral Integration , 2 , New York : Academic Press .
  • Gautschi , W. 1997 . “ Numerical Analysis – An Introduction ” . Basel : Birkhäuser .
  • Gradshteyn , I. S. and Ryzhik , I. M. 2000 . Tables of Integrals, Series, and Products , 6 , San Diego , CA : Academic Press .
  • Okecha , G. E. 1987 . Quadrature formulae for Cauchy principal valueintegrals of oscillatory kind . Math. Comput , 49 : 259 – 268 .
  • Okecha , G. E. 2006 . Hermite interpolation and a method for evaluating Cauchy principal value integrals of oscillatory kind . Kragujevac J. Math , 29 : 91 – 98 .
  • Oliver , J. 1968 . The numerical solution of linear recurrence relations . Numer. Math , 11 : 349 – 360 .
  • Wang , H. and Xiang , S. 2009 . Uniform approximations to Cauchy principal value integrals of oscillatory functions . Appl. Math. Comput , 215 : 1886 – 1894 .
  • Xiang , S. 2007 . Efficient Filon-type methods for . Numer. Math , 105 : 633 – 658 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.