On Error Bounds for Gaussian Cubature

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 1962 English Publisher:Society for Industrial & Applied Mathematics (SIAM)Journal:SIAM Review, volume 4, pages 25-39 (issn: 0036-1445, eissn: 1095-7200,

Copyright policy )

Authors: Ahlin, A. C.;

doi: 10.1137/1004004

On Error Bounds for Gaussian Cubature

- Summary
- Subjects
- Metrics

Abstract

NUMERICAL INTEGRATION IS THE PROCESS of approximating the value of a definite integral from a set of numerical values of the integrand. When applied to the computation of a double integral of a function of two independent variables, the process is sometimes called "mechanical cubature". One of the earliest investigations of the problem of mechanical cubature was made by Appel [2] in a paper in which he proposed formulas for the rectangle and the rectangular parallelopipedon. Appel presented no error analysis. Appel's approach was to assume that the integrand is of the form

Keywords

Numerical integration

Impact byBIP!

	selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	14
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Average
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Top 10%
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Average