Name
Title | ||
|---|---|---|
Numerical solution of systems of Cauchy singular integral equations with constant coefficients. |
Abstract | ||
|---|---|---|
This paper deals with the numerical solution of a class of systems of Cauchy singular integral equations with constant coefficients. The proposed procedure consists of two basic steps: the first one is to consider a modified problem equivalent to the original one under suitable conditions, the second one is to approximate its solution by means of a vector of polynomial functions. Such array is constructed by applying a quadrature type method, based on Gaussian rules, that leads to solve a determined and well conditioned linear system. The convergence and stability of the method are proved in weighted L2 spaces. Some numerical tests are also shown. |
Year | DOI | Venue |
|---|---|---|
2012 | 10.1016/j.amc.2012.08.022 | Applied Mathematics and Computation |
Keywords | Field | DocType |
Cauchy singular integral equation,Quadrature method,Lagrange interpolation | Nyström method,Cauchy problem,Mathematical optimization,Singular integral,Mathematical analysis,Singular solution,Numerical integration,Cauchy's integral formula,Cauchy's integral theorem,Cauchy's convergence test,Mathematics | Journal |
Volume | Issue | ISSN |
219 | 4 | 0096-3003 |
Citations | PageRank | References |
6 | 0.73 | 1 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| M. C. De Bonis | 1 | 17 | 5.60 |
| C. Laurita | 2 | 11 | 3.29 |