最优平均padvac -type近似

IF 0.8 4区数学 Q3 MATHEMATICS, APPLIED

Electronic Transactions on Numerical Analysis Pub Date : 2023-01-01 DOI:10.1553/etna_vol59s145

Dusan Lj. Djukić, Rada M. Mutavdžić Djukić, Lothar Reichel, Miodrag M. Spalević

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引用次数: 1

摘要

PadÃ©型近似是近似给定形式幂级数的有理函数。Boutry[号码。算法，33 (2003)，pp 113“122”构建PadÃ©型近似，对应于Laurie引入的平均高斯正交规则[数学]。Comp.， 65 (1996)， pp. 739 [747]。最近，SpaleviÄ[数学。Comp.， 76 (2007)， pp. 1483[1492]提出了最优平均高斯正交规则，在相同节点数的情况下，该规则比相应的平均高斯规则具有更高的精度。本文定义了与最优平均高斯规则相关的PadÃ©型近似。数值算例说明了它们的性能。

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Optimal averaged Padé-type approximants

PadÃ©-type approximants are rational functions that approximate a given formal power series. Boutry [Numer. Algorithms, 33 (2003), pp 113â122] constructed PadÃ©-type approximants that correspond to the averaged Gauss quadrature rules introduced by Laurie [Math. Comp., 65 (1996), pp. 739â747]. More recently, SpaleviÄ [Math. Comp., 76 (2007), pp. 1483â1492] proposed optimal averaged Gauss quadrature rules, that have higher degree of precision than the corresponding averaged Gauss rules, with the same number of nodes. This paper defines PadÃ©-type approximants associated with optimal averaged Gauss rules. Numerical examples illustrate their performance.

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来源期刊

Electronic Transactions on Numerical Analysis 数学-应用数学

CiteScore

2.10

自引率

7.70%

发文量

审稿时长

6 months

期刊介绍： Electronic Transactions on Numerical Analysis (ETNA) is an electronic journal for the publication of significant new developments in numerical analysis and scientific computing. Papers of the highest quality that deal with the analysis of algorithms for the solution of continuous models and numerical linear algebra are appropriate for ETNA, as are papers of similar quality that discuss implementation and performance of such algorithms. New algorithms for current or new computer architectures are appropriate provided that they are numerically sound. However, the focus of the publication should be on the algorithm rather than on the architecture. The journal is published by the Kent State University Library in conjunction with the Institute of Computational Mathematics at Kent State University, and in cooperation with the Johann Radon Institute for Computational and Applied Mathematics of the Austrian Academy of Sciences (RICAM).