Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS

Remote Access
Green Open Access
Mathematics of Computation
Mathematics of Computation
ISSN 1088-6842(online) ISSN 0025-5718(print)


Cubic splines and approximate solution of singular integral equations

Authors: Erica Jen and R. P. Srivastav
Journal: Math. Comp. 37 (1981), 417-423
MSC: Primary 65R20; Secondary 41A15, 45E05
MathSciNet review: 628705
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: Of concern here is the numerical solution of singular integral equations of Cauchy type; i.e., equations involving principal value integrals. The unknown function is expressed as the product of an appropriate weight function and a cubic spline. The problem is reduced to a system of linear algebraic equations which is solved for the approximate values of the function at the knots. An estimate is provided for the maximum error of the approximate solution. Numerical results from the spline method are compared with those obtained using other methods.

References [Enhancements On Off] (What's this?)

Similar Articles

Retrieve articles in Mathematics of Computation with MSC: 65R20, 41A15, 45E05

Retrieve articles in all journals with MSC: 65R20, 41A15, 45E05

Additional Information

PII: S 0025-5718(1981)0628705-4
Keywords: Spline approximation, numerical solution of singular integral equations
Article copyright: © Copyright 1981 American Mathematical Society

Comments: Email Webmaster

© Copyright , American Mathematical Society
Contact Us · Sitemap · Privacy Statement

Connect with us Facebook Twitter Google+ LinkedIn Instagram RSS feeds Blogs YouTube Podcasts Wikipedia