Principles of verified numerical integration-Reference-Cited by-同舟云学术

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Principles of verified numerical integration

Published:2007-02 Issue:2 Volume:199 Page:317-328
ISSN:0377-0427
Container-title:Journal of Computational and Applied Mathematics
language:en
Short-container-title:Journal of Computational and Applied Mathematics

Author:

Petras Knut

Publisher

Elsevier BV

Subject

Applied Mathematics,Computational Mathematics

Reference28 articles.

1. New methods for high-dimensional verified quadrature;Berz;Reliab. Comput.,1999

2. Quadraturverfahren;Brass,1977

3. The Gaussian quadrature method;Brass;Abh. Braunschweig Wiss. Ges.,1996

4. On the estimation of linear functionals;Brass;Analysis,1987

5. Bounds for norms of Peano Kernels;Brass;East J. Approx.,2003

Cited by 6 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. On the Petras algorithm for verified integration of piecewise analytic functions;Journal of Complexity;2017-04

2. Explicit Error Bound for Modified Numerical Iterated Integration by Means of Sinc Methods;Mathematical Aspects of Computer and Information Sciences;2016

3. ProbReach;Proceedings of the 18th International Conference on Hybrid Systems: Computation and Control;2015-04-14

4. Error estimates with explicit constants for Sinc approximation, Sinc quadrature and Sinc indefinite integration;Numerische Mathematik;2013-03-20

5. 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

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