The numerical treatment of Love's integral equation having very small parameter (Q654739)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: The numerical treatment of Love's integral equation having very small parameter |
scientific article; zbMATH DE number 5991195
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The numerical treatment of Love's integral equation having very small parameter |
scientific article; zbMATH DE number 5991195 |
Statements
The numerical treatment of Love's integral equation having very small parameter (English)
0 references
21 December 2011
0 references
The author investigates the numerical solution of Love's integral equation \[ f(y)+ {1\over\pi}\int_{-1}^1{c\over{(x-y)^2+c^2}}f(x)\text{d}x=1, |y|\leq 1, 0\leq c\in\mathbb{R} \] with the parameter \(c\) using a stable and convergent method based on the paper of \textit{M. C. De Bonis} and \textit{P. Pastore} [``A quadrature formula for integrals of highly oscillatory functions'', Rend. Circ. Mat. Palermo (2), Suppl., 82, 279--303 (2010)].
0 references
Love's integral equation
0 references
system of Fredholm integral equations
0 references
Nyström method
0 references
Gaussian quadrature rule
0 references
condition number
0 references
Toeplitz matrix
0 references
0 references
0 references
