Some numerical algorithms to evaluate Hadamard finite-part integrals (Q1919500)
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: Some numerical algorithms to evaluate Hadamard finite-part integrals |
scientific article; zbMATH DE number 908430
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some numerical algorithms to evaluate Hadamard finite-part integrals |
scientific article; zbMATH DE number 908430 |
Statements
Some numerical algorithms to evaluate Hadamard finite-part integrals (English)
0 references
25 March 1997
0 references
The authors present some numerical algorithms for the evaluation of Hadamard finite part integrals of type \[ \int^1_{-1} \bigl[f(x)/(x-t)^2\bigr] v^{\alpha, \beta} (x)dx,\;|t|<1, \] where \(v^{\alpha, \beta}(x)\) is a Jacobi weight. For each one they obtain error bounds and study the convergence. Numerical examples are considered.
0 references
quadrature
0 references
numerical examples
0 references
algorithms
0 references
Hadamard finite part integrals
0 references
error bounds
0 references
convergence
0 references
0 references
0 references
0 references
