Comprehensive Interpretation of a Three‐Point Gauss Quadrature with Variable Sampling Points and Its Application to Integration for Discrete Data

Young-Doo Kwon, Soon-Bum Kwon, Bo-Kyung Shim and Hyun-Wook Kwon

Journal of Applied Mathematics, 2013, vol. 2013, issue 1

Abstract: This study examined the characteristics of a variable three‐point Gauss quadrature using a variable set of weighting factors and corresponding optimal sampling points. The major findings were as follows. The one‐point, two‐point, and three‐point Gauss quadratures that adopt the Legendre sampling points and the well‐known Simpson’s 1/3 rule were found to be special cases of the variable three‐point Gauss quadrature. In addition, the three‐point Gauss quadrature may have out‐of‐domain sampling points beyond the domain end points. By applying the quadratically extrapolated integrals and nonlinearity index, the accuracy of the integration could be increased significantly for evenly acquired data, which is popular with modern sophisticated digital data acquisition systems, without using higher‐order extrapolation polynomials.

Date: 2013
References: Add references at CitEc
Citations:

Downloads: (external link)
https://doi.org/10.1155/2013/471731

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2013:y:2013:i:1:n:471731

Access Statistics for this article

More articles in Journal of Applied Mathematics from John Wiley & Sons
Bibliographic data for series maintained by Wiley Content Delivery ().