Name
Title | ||
|---|---|---|
Nyström method for Fredholm integral equations of the second kind in two variables on a triangle |
Abstract | ||
|---|---|---|
The paper deals with the approximation of the solution of the following bivariate Fredholm integral equationf(y)-@m@!"DK(x,y)f(x)@w~(x)dx=g(y),y@?D,where the domain D is a triangle. The proposed procedure, by a suitable transformation, is essentially the Nystrom method based on the zeros of univariate Jacobi orthogonal polynomials. Convergence, stability and well conditioning of the method are proved. In order to illustrate the efficiency of the proposed method some numerical tests are given. |
Year | DOI | Venue |
|---|---|---|
2013 | 10.1016/j.amc.2013.01.054 | Applied Mathematics and Computation |
Keywords | Field | DocType |
numerical test,fredholm integral equationf,paper deal,nystrom method,suitable transformation,domain d,proposed procedure,following bivariate | Convergence (routing),Nyström method,Mathematical optimization,Orthogonal polynomials,Fredholm integral equation,Mathematical analysis,Integral equation,Bivariate analysis,Univariate,Fredholm theory,Mathematics | Journal |
Volume | Issue | ISSN |
219 | 14 | 0096-3003 |
Citations | PageRank | References |
2 | 0.50 | 5 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Giuseppe Mastroianni | 1 | 35 | 10.38 |
| Gradimir V. Milovanović | 2 | 45 | 11.62 |
| Donatella Occorsio | 3 | 9 | 4.00 |