Name
Title | ||
|---|---|---|
Well-conditioned matrices for numerical treatment of Fredholm integral equations of the second kind |
Abstract | ||
|---|---|---|
In the cases A=[-1, 1] and A=[0, +infinity), with w(x) = (1-x)(alpha)(1+x)(beta), alpha, beta > -1, and w(x) = x(alpha)e-(x beta), alpha> -1, beta>1/2, respectively, in this paper we consider the corresponding Fredholm integral equations of the second kind f(y) + mu integral(A) k(x, y) f(x)w(x)dx = g(y), y is an element of A in the spaces of continuous functions equipped with certain uniform weighted norms. Assuming the continuity of the kernel k(x, y) we use Nystrom methods and prove the stability, the convergence and the well conditioning of the corresponding matrices. The last property is derived only from the continuity of the kernel and not from its special form. Error estimates and numerical tests are also included. Copyright (C) 2009 John Wiley & Sons, Ltd. |
Year | DOI | Venue |
|---|---|---|
2009 | 10.1002/nla.655 | NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS |
Keywords | Field | DocType |
Fredholm integral equation,kernel,Jacobi weight function,generalized Laguerre weight function,Lagrange interpolation,Nystrom interpolation,Gaussian quadrature formula,orthogonal polynomials,truncation,error estimate | Kernel (linear algebra),Lagrange polynomial,Continuous function,Mathematical optimization,Orthogonal polynomials,Fredholm integral equation,Matrix (mathematics),Mathematical analysis,Integral equation,Fredholm theory,Mathematics | Journal |
Volume | Issue | ISSN |
16 | SP11-12 | 1070-5325 |
Citations | PageRank | References |
1 | 0.41 | 3 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Giuseppe Mastroianni | 1 | 35 | 10.38 |
| Gradimir V. Milovanović | 2 | 45 | 11.62 |