Scholarlink

<p>The practical estimate of error of Gaussain quadrature rules on the semicircle is an important problem in scientific computing. To estimate this error anti-Gaussian and averaged quadrature rules on the semicircle are introduced by Milosavljević et al. (Numer. Algor. <b>99</b>, 2173–2197 <CitationRef CitationID="CR9">2025</CitationRef>). In order to obtain a better estimate of the error of such Gaussain quadrature rules, in this paper we introduce the generalized averaged Gaussian quadrature rules on the semicircle. Two representations of such quadrature rules and some of their properties are included. In addition, the applications are demonstrated through numerical examples.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Generalized averaged Gaussian quadrature rules on the semicircle

  • 期刊论文

  • 发表日期：

    2025年10月15日

查看全文
  • Marija P. Stanić,
  • Tatjana V. Tomović Mladenović,
  • Aleksandra S. Milosavljević

摘要

The practical estimate of error of Gaussain quadrature rules on the semicircle is an important problem in scientific computing. To estimate this error anti-Gaussian and averaged quadrature rules on the semicircle are introduced by Milosavljević et al. (Numer. Algor. 99, 2173–2197 2025). In order to obtain a better estimate of the error of such Gaussain quadrature rules, in this paper we introduce the generalized averaged Gaussian quadrature rules on the semicircle. Two representations of such quadrature rules and some of their properties are included. In addition, the applications are demonstrated through numerical examples.