A practical error formula for multivariate rational interpolation and approximation (Q1960247)
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 practical error formula for multivariate rational interpolation and approximation |
scientific article; zbMATH DE number 5799420
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A practical error formula for multivariate rational interpolation and approximation |
scientific article; zbMATH DE number 5799420 |
Statements
A practical error formula for multivariate rational interpolation and approximation (English)
0 references
13 October 2010
0 references
The aim of this paper is to consider exact and approximate multivariate interpolation of a function \(f\) by a rational function and to develop the corresponding error formula. Exact interpolation is through point values for \(f\) and approximate interpolation is through intervals bounding \(f\). The authors make use of an error formula obtained for multivariate polynomial interpolation. Finally, two practical application of the error formula are given: from computational finance and electromagnetism.
0 references
interpolation error
0 references
divided differences
0 references
Newton fundamental polynomials
0 references
finite difference functions
0 references
