View : 102 Download: 0

Solving singular integral equations using Gaussian quadrature and overdetermined system

Title
Solving singular integral equations using Gaussian quadrature and overdetermined system
Authors
Kim S.
Ewha Authors
김선영
SCOPUS Author ID
김선영scopus
Issue Date
1998
Journal Title
Computers and Mathematics with Applications
ISSN
0898-1221JCR Link
Citation
vol. 35, no. 10, pp. 63 - 71
Indexed
SCI; SCIE; SCOPUS WOS scopus
Abstract
Gauss-Chebyshev quadrature and collocation at the zeros of the Chebyshev polynomial of the first kind Tn(x), and second kind Un(x) leads to an overdetermined system of linear algebraic equations. The size of the coefficient matrix for the overdetermined system depends on the degrees of Chebyshev polynomials used. We show that we can get more accurate solution using T4n+4(x), than other Tn(x). The regularization method using Generalized Singular Value Decomposition is described and compared to Gauss-Newton method for solving the overdetermined system of equations. Computational tests show that GSVD with an appropriate choice of regularization parameter gives better solution in solving singular integral equations. © 1998 Elsevier Science Ltd. All rights reserved.
Appears in Collections:
자연과학대학 > 수학전공 > Journal papers
Files in This Item:
There are no files associated with this item.
Export
RIS (EndNote)
XLS (Excel)
XML


qrcode

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.

BROWSE