Erratum: Multidimensional Sum-Up Rounding for Elliptic Control Systems

IF 2.8 2区数学 Q1 MATHEMATICS, APPLIED

SIAM Journal on Numerical Analysis Pub Date : 2024-12-17 DOI:10.1137/24m1674169

Paul Manns, Christian Kirches

引用次数: 0

Abstract

SIAM Journal on Numerical Analysis, Volume 62, Issue 6, Page 2782-2783, December 2024.
Abstract. We correct a mistake in the paper [P. Manns and C. Kirches, SIAM J. Numer. Anal., 58 (2020), pp. 3427–3447]. The grid refinement strategy in Definition 4.3 needs to ensure that the order of the (sets of) grid cells that are successively refined is preserved over all grid iterations. This was only partially reflected in Definition 4.3, and we correct it here.

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SIAM 数值分析期刊》第 62 卷第 6 期第 2782-2783 页，2024 年 12 月。摘要。我们纠正了论文 [P. Manns and C. Kirches, SIAM J. Numer. Anal., 58 (2020), pp.］定义 4.3 中的网格细化策略需要确保在所有网格迭代中，被连续细化的网格单元（集）的顺序得到保留。定义 4.3 仅部分反映了这一点，我们在此予以修正。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

SIAM Journal on Numerical Analysis 数学-应用数学

CiteScore

4.80

自引率

6.90%

发文量

110

审稿时长

4-8 weeks

期刊介绍： SIAM Journal on Numerical Analysis (SINUM) contains research articles on the development and analysis of numerical methods. Topics include the rigorous study of convergence of algorithms, their accuracy, their stability, and their computational complexity. Also included are results in mathematical analysis that contribute to algorithm analysis, and computational results that demonstrate algorithm behavior and applicability.