A modified Gaussian quadrature rule for integrals involving poles of any order (Q1072036)
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: A modified Gaussian quadrature rule for integrals involving poles of any order |
scientific article; zbMATH DE number 3942140
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A modified Gaussian quadrature rule for integrals involving poles of any order |
scientific article; zbMATH DE number 3942140 |
Statements
A modified Gaussian quadrature rule for integrals involving poles of any order (English)
0 references
1986
0 references
By applying the theory of completely symmetric functions we derive a Gaussian quadrature rule which generalizes that due to McNamee. A feature of this generalization is the inclusion of an explicit correction term taking account of the presence of poles (of any order) of the integrand close to the integration-interval. A numerical example is provided to illustrate the formulae.
0 references
completely symmetric functions
0 references
Gaussian quadrature rule
0 references
poles
0 references
numerical example
0 references
