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A discrete method for the logarithmic-kernel integral equation on an open arc
| Content Provider | Scilit |
|---|---|
| Author | Prössdorf, S. Saranen, J. Sloan, I. H. |
| Copyright Year | 1993 |
| Description | Here we discuss the stability and convergence of a quadrature method for Symm's integral equation on an open smooth arc. The method is an adaptation of an approach considered by Sloan and Burn for closed curves. Before applying the quadrature scheme, we use a cosine substitution to remove the endpoint singularity of the solution. The family of methods includes schemes with any order $O(h^{p}$) of convergence. |
| Related Links | https://www.cambridge.org/core/services/aop-cambridge-core/content/view/AA62BEA2640A15BEEE1045043E3EEA0C/S0334270000009000a.pdf/div-class-title-a-discrete-method-for-the-logarithmic-kernel-integral-equation-on-an-open-arc-div.pdf |
| Ending Page | 418 |
| Page Count | 18 |
| Starting Page | 401 |
| ISSN | 03342700 |
| e-ISSN | 18394078 |
| DOI | 10.1017/s0334270000009000 |
| Journal | The Journal of the Australian Mathematical Society. Series B. Applied Mathematics |
| Issue Number | 4 |
| Volume Number | 34 |
| Language | English |
| Publisher | Cambridge University Press (CUP) |
| Publisher Date | 1993-04-01 |
| Access Restriction | Open |
| Subject Keyword | The Journal of the Australian Mathematical Society. Series B. Applied Mathematics Applied Mathematics Integral Equation |
| Content Type | Text |
| Resource Type | Article |
| Subject | Applied Mathematics |
