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Gauss Quadrature Error Estimation

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Login Help Contact Us About Access You are not currently logged in. Access your personal account or get JSTOR access through gauss legendre quadrature error estimate your library or other institution: login Log in to your personal account gauss hermite quadrature example or through your institution. If You Use a Screen ReaderThis content is available through Read Online (Free) program,

Gaussian Quadrature Error Proof

which relies on page scans. Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader. http://www.ams.org/mcom/1968-22-101/S0025-5718-1968-0223094-5/S0025-5718-1968-0223094-5.pdf Mathematics of Computation Vol. 22, No. 101, Jan., 1968 Error Estimates for ... Error Estimates for Gauss Quadrature Formulas for Analytic Functions M. M. Chawla and M. K. Jain Mathematics of Computation Vol. 22, No. 101 (Jan., 1968), pp. 82-90 Published by: American Mathematical Society DOI: 10.2307/2004765 Stable URL: http://www.jstor.org/stable/2004765 Page Count: 9 Read Online (Free) Download ($34.00) Subscribe ($19.50) https://www.jstor.org/stable/2004765 Cite this Item Cite This Item Copy Citation Export Citation Export to RefWorks Export a RIS file (For EndNote, ProCite, Reference Manager, Zotero…) Export a Text file (For BibTex) Note: Always review your references and make any necessary corrections before using. Pay attention to names, capitalization, and dates. × Close Overlay Journal Info Mathematics of Computation Description: This journal, begun in 1943 as Mathematical Tables and Other Aids to Computation, publishes original articles on all aspects of numerical mathematics, book reviews, mathematical tables, and technical notes. It is devoted to advances in numeri cal analysis, the application of computational methods, high speed calculating, and other aids to computation. Moving Wall Moving Wall: 5 years (What is the moving wall?) Moving Wall The "moving wall" represents the time period between the last issue available in JSTOR and the most recently published issue of a journal. Moving walls are generally represented in years. In rare instances, a publisher has elected to have a "zero" moving wall, so their current issues are available in JSTOR shortly after publication. Note: In calcu

institution loginHelpJournalsBooksRegisterJournalsBooksRegisterSign inHelpcloseSign in using your ScienceDirect credentialsUsernamePasswordRemember meForgotten username or password?Sign in via your institutionOpenAthens loginOther institution login Download full text in PDF Article Article + other articles in this http://www.sciencedirect.com/science/article/pii/0377042785900366 issue Loading... Export You have selected 1 citation for export. Help Direct export Save to Mendeley Save to RefWorks Export file Format RIS (for EndNote, ReferenceManager, ProCite) BibTeX Text Content Citation Only Citation and Abstract Export Advanced search Close This document does not have an outline. JavaScript is disabled on your browser. Please enable JavaScript to use gaussian quadrature all the features on this page. Journal of Computational and Applied Mathematics Volumes 12–13, May 1985, Pages 425-431 Practical error estimation in numerical integration Author links open the overlay panel. Numbers correspond to the affiliation list which can be exposed by using the show more link. Opens overlay Dirk P. Laurie Department of Mathematics and Applied Mathematics, Potchefstroom gauss quadrature error University for C.H.E., 1900 Vanderbijlpark, Republic of South AfricaSouth Africa Received 17 May 1984, Available online 28 March 2002 Show more doi:10.1016/0377-0427(85)90036-6 Get rights and content Under an Elsevier user license Open Archive AbstractTheoretical error estimates for quadrature rules involve quantities that are usually difficult if not impossible to obtain in practice. Various heuristics to obtain computable error estimates are compared by calculating their performance profiles on the Lyness family of integrands. Two sets of tests are used, corresponding to adaptive and single-rule quadrature. In the single rule case, Gaussian quadrature with error estimate provided by dropping one point from the formula performs best. In the adaptive case, the best heuristic is non-linear extrapolation based on Gaussian quadrature. Keywords Quadrature; adaptive; error estimate; nested rules; extrapolation Download full text in PDF References [1] C. de Boor CADRE: an algorithm for numerical quadrature J.R. Rice (Ed.), Mathematical Software, Academic Press, New York (1971) [2] P.J. Davis, P. Rabinowitz Methods of Numerical Integration Academic Press, New York (1975) [3] A.S. Kronrod Nodes and

 

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