Numerical evaluation of Cauchy principal value integrals based on local spline approximation operators (Q5961657)
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: Numerical evaluation of Cauchy principal value integrals based on local spline approximation operators |
scientific article; zbMATH DE number 982524
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Numerical evaluation of Cauchy principal value integrals based on local spline approximation operators |
scientific article; zbMATH DE number 982524 |
Statements
Numerical evaluation of Cauchy principal value integrals based on local spline approximation operators (English)
0 references
1 September 1997
0 references
quadrature formulas
0 references
Cauchy principal value integral
0 references
approximating splines
0 references
convergence
0 references
numerical examples
0 references
0 references
0 references
The author presents a method for generating quadrature formulas for the numerical evaluation of the Cauchy principal value integral NEWLINE\[NEWLINEJ(K,f;\lambda)=\oint_{-1}^1 K(x){f(x)\over x-\lambda}dx\qquad \lambda\in (-1,1),NEWLINE\]NEWLINE \(f\in L_1[-1,1]\), based on approximating splines. Some convergence results and numerical examples are given. New quadrature rules are compared with old ones.
0 references
