An Algorithm for the Numerical Evaluation of Certain Finite Part Integrals
Joint Authors
Ashour, Samir A.
Ahmed, Hany M.
Source
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-21, 21 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-06-22
Country of Publication
Egypt
No. of Pages
21
Main Subjects
Abstract EN
Many algorithms that have been proposed for the numerical evaluation of Cauchy principal value integrals are numerically unstable.
In this work we present some formulae to evaluate the known Gaussian quadrature rules for finite part integrals ∫a*bw(x)(f(x)/(x-t)r)dx, r=1,2,…, and extend Clenshow's algorithm to evaluate these integrals in a stable way.
American Psychological Association (APA)
Ashour, Samir A.& Ahmed, Hany M.. 2011. An Algorithm for the Numerical Evaluation of Certain Finite Part Integrals. ISRN Applied Mathematics،Vol. 2011, no. 2011, pp.1-21.
https://search.emarefa.net/detail/BIM-481680
Modern Language Association (MLA)
Ashour, Samir A.& Ahmed, Hany M.. An Algorithm for the Numerical Evaluation of Certain Finite Part Integrals. ISRN Applied Mathematics No. 2011 (2011), pp.1-21.
https://search.emarefa.net/detail/BIM-481680
American Medical Association (AMA)
Ashour, Samir A.& Ahmed, Hany M.. An Algorithm for the Numerical Evaluation of Certain Finite Part Integrals. ISRN Applied Mathematics. 2011. Vol. 2011, no. 2011, pp.1-21.
https://search.emarefa.net/detail/BIM-481680
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-481680
