Anti-Gaussian quadrature formulae based on the zeros of Stieltjes polynomials-Reference-Cited by-同舟云学术

Anti-Gaussian quadrature formulae based on the zeros of Stieltjes polynomials

Published:2017-08-08 Issue:1 Volume:58 Page:179-198
ISSN:0006-3835
Container-title:BIT Numerical Mathematics
language:en
Short-container-title:Bit Numer Math

Author:

Notaris Sotirios E.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics,Computer Networks and Communications,Software

Link

http://link.springer.com/article/10.1007/s10543-017-0672-y/fulltext.html

Reference20 articles.

1. Allaway, Wm.R.: The Identification of a Class of Orthogonal Polynomial Sets. Ph.D. Thesis, Department of Mathematical and Statistical Sciences, University of Alberta, Edmonton (1972)

2. Calvetti, D., Reichel, L.: Symmetric Gauss–Lobatto and modified anti-Gauss rules. BIT 43, 541–554 (2003)

3. Chihara, T.S.: An Introduction to Orthogonal Polynomials. Mathematics and its Applications. Gordon and Breach, New York (1978)

4. Clenshaw, C.W., Curtis, A.R.: A method for numerical integration on an automatic computer. Numer. Math. 2, 197–205 (1960)

5. Djukić, D. Lj., Reichel, L., Spalević, M.M., Tomanović, J.D.: Internality of generalized averaged Gauss rules and their truncations for Bernstein–Szegö weights. Electron. Trans. Numer. Anal. 45, 405–419 (2016)

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. Averaged Nyström interpolants for the solution of Fredholm integral equations of the second kind;Applied Mathematics and Computation;2024-04

2. Averaged cubature schemes on the real positive semiaxis;Numerical Algorithms;2022-09-29

3. Anti-Gaussian quadrature formulae of Chebyshev type;Mathematics of Computation;2022-08-03

4. Calculation on singular integral with Cauchy kernel of anti-Gaussian quadrature formulae;International Conference on Computer Graphics, Artificial Intelligence, and Data Processing (ICCAID 2021);2022-03-18

5. Solution of second kind Fredholm integral equations by means of Gauss and anti-Gauss quadrature rules;Numerische Mathematik;2020-11-18