Numerical Quadrature by Extrapolation with Automatic Result Verification-Reference-Cited by-同舟云学术

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Numerical Quadrature by Extrapolation with Automatic Result Verification

Published:1993 Issue: Volume: Page:143-185
ISSN:0076-5392
Container-title:Mathematics in Science and Engineering
language:
Short-container-title:

Author:

Kelch Rainer

Publisher

Elsevier

Reference43 articles.

1. Handbook of Mathematical Functions;Abramowitz,1965

2. Introduction to Interval Analysis;Alefeld,1983

3. Intervallmathematik, Theorie und Anwendungen;Bauch,1987

4. F.L. Bauer, H. Rutishauser & E. Stiefel New Aspects in Numerical Quadrature, Proc. of SIAM, 15, AMS, 1963

5. PASCAL-SC, Wirkungsvoll programmieren, kontrolliert rechnen;Bohlender,1986

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1. On the properties of Sard kernels and multiple error estimates for bounded linear functionals of bivariate functions with application to non-product cubature;Numerische Mathematik;2012-07-10

2. Computing Interval Enclosures for Definite Integrals by Application of Triple Adaptive Strategies;Computing;2006-08

3. Self-validated Computations for the Probabilities of the Central Bivariate Chi-square Distribution and a BivariateFDistribution. This work partially supported by National Science Foundation grant DMS-9500831;Journal of Statistical Computation and Simulation;2002-01

4. Verified computation of Lamé functions with high accuracy;Computing;1998-03

5. Two adaptive Gauss-Legendre type algorithms for the verified computation of definite integrals;Reliable Computing;1996-09

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