双曲守恒定律的上风双紧凑方案

IF 0.5 4区数学 Q3 MATHEMATICS

Doklady Mathematics Pub Date : 2024-07-17 DOI:10.1134/s1064562424702089

M. D. Bragin

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引用次数: 0

摘要

摘要首次提出了空间三阶近似的上风双紧凑方案。通过 Runge-Kutta 时间步进，获得了任意完全离散双紧凑方案的过渡因子公式。研究了一阶时间方案的稳定性和单调性，分析了三阶时间方案的耗散和分散特性。证明了新方案与居中方案相比的优势。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

Upwind Bicompact Schemes for Hyperbolic Conservation Laws

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Upwind Bicompact Schemes for Hyperbolic Conservation Laws

Abstract

Upwind bicompact schemes of third-order approximation in space are presented for the first time. A formula is obtained for the transition factor of an arbitrary fully discrete bicompact scheme with Runge–Kutta time stepping. Stability and monotonicity of a scheme of first order in time are investigated, and the dissipative and dispersion properties of a scheme of third order in time are analyzed. Advantages of the new schemes over their centered counterparts are demonstrated.

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来源期刊

Doklady Mathematics 数学-数学

CiteScore

1.00

自引率

16.70%

发文量

审稿时长

3-6 weeks

期刊介绍： Doklady Mathematics is a journal of the Presidium of the Russian Academy of Sciences. It contains English translations of papers published in Doklady Akademii Nauk (Proceedings of the Russian Academy of Sciences), which was founded in 1933 and is published 36 times a year. Doklady Mathematics includes the materials from the following areas: mathematics, mathematical physics, computer science, control theory, and computers. It publishes brief scientific reports on previously unpublished significant new research in mathematics and its applications. The main contributors to the journal are Members of the RAS, Corresponding Members of the RAS, and scientists from the former Soviet Union and other foreign countries. Among the contributors are the outstanding Russian mathematicians.