Near-minimal cubature formulae on the disk-Reference-Cited by-同舟云学术

Near-minimal cubature formulae on the disk

Published:2017-12-08 Issue:1 Volume:39 Page:297-314
ISSN:0272-4979
Container-title:IMA Journal of Numerical Analysis
language:en
Short-container-title:

Author:

Benouahmane Brahim¹,Annie Cuyt²,Yaman Irem³

Affiliation:

1. Département de Mathématiques, Université Hassan II, Yasmina, Mohammadia, Morocco

2. Department of Mathematics and Computer Science, Royal Flemish Academy of Belgium for Science and the Arts, University of Antwerp, Middelheimlaan, Antwerpen, Belgium

3. Department of Mathematics, Gebze Institute of Technology, Çayirova Campus, Gebze Kocaeli, Turkey

Publisher

Oxford University Press (OUP)

Subject

Applied Mathematics,Computational Mathematics,General Mathematics

Link

http://academic.oup.com/imajna/article-pdf/39/1/297/27580012/drx069.pdf

Reference25 articles.

1. Formeln zur numerischen Integration über Kreisbereiche.;Albrecht;ZAMM Z. Angew. Math. Mech.,1960

2. Multivariate orthogonal polynomials, homogeneous Padé approximants and Gaussian cubature.;Benouahmane;Numer. Algorithms,2000

3. Padé-Type Approximation and General Orthogonal Polynomials

4. Construction of fully symmetric cubature formulae of degree 4k-3 for fully symmetric planar regions.;Cools;J. Comp. Appl. Math.,1987

5. Construction of symmetric cubature formulae with the number of knots (almost) equal to Möller’s lower bound.;Cools;Numerical Integration III, (Oberwolfach, 1987),1988

Cited by 2 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. Schemes for cubature over the unit disk found via numerical optimization;Journal of Computational and Applied Mathematics;2022-06

2. Construction and application of provable positive and exact cubature formulas;IMA Journal of Numerical Analysis;2022-05-20