Cubature error bounds for analytic functions-Reference-Cited by-同舟云学术

Cubature error bounds for analytic functions

Published:1973 Issue:123 Volume:27 Page:655-668
ISSN:0025-5718
Container-title:Mathematics of Computation
language:en
Short-container-title:Math. Comp.

Author:

Lether F. G.

Abstract

In this paper, two-dimensional cubature error bounds are developed. It is assumed that the function to be integrated is analytic, and that the domain of integration is contained in [ − 1 , 1 ] × [ − 1 , 1 ] [ - 1,1] \times [ - 1,1] . Tables of error constants for several cubature rules and domains of integration are included.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,Computational Mathematics,Algebra and Number Theory

Link

http://www.ams.org/mcom/1973-27-123/S0025-5718-1973-0334464-0/S0025-5718-1973-0334464-0.pdf

Reference21 articles.

1. On error bounds for Gaussian cubature;Ahlin, A. C.;SIAM Rev.,1962

2. An error analysis for numerical multiple integration. I;Barnhill, Robert E.;Math. Comp.,1968

3. An error analysis for numerical multiple integration. III;Barnhill, Robert E.;Math. Comp.,1970

4. On the estimation of errors of Gaussian cubature formulas;Chawla, M. M.;SIAM J. Numer. Anal.,1968

5. Estimating errors of numerical approximation for analytic functions;Chawla, M. M.;Numer. Math.,1970

Cited by 8 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Gaussian cubature: A practitioner’s guide;Mathematical and Computer Modelling;2007-04

2. Design and Performance of an Adaptive Kalman Receiver for Synchronous Data Transmission;IEEE Transactions on Aerospace and Electronic Systems;1979-09

3. Error probability in optical fiber transmission systems;IEEE Transactions on Information Theory;1979-03

4. An algorithm for one-and two-dimensional quadrature rules;Calcolo;1977-12

5. Cubature Error Bounds for a Class of Analytic Functions;SIAM Journal on Numerical Analysis;1976-04