Conservative Upwind Correction Method for Scalar Linear Hyperbolic Equations

IF 0.6 Q3 MATHEMATICS

Kyungpook Mathematical Journal Pub Date : 2021-01-01 DOI:10.5666/KMJ.2021.61.2.309

Sang Dong Kim, Yong Hun Lee, B. Shin

引用次数: 0

Abstract

A conservative scheme for solving scalar hyperbolic equations is presented using a quadrature rule and an ODE solver. This numerical scheme consists of an upwind part, plus a correction part which is derived by introducing a new variable for the given hyperbolic equation. Furthermore, the stability and accuracy of the derived algorithm is shown with numerous computations.

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标量线性双曲方程的保守逆风修正方法

利用正交规则和ODE求解器，给出了求解标量双曲型方程的一种保守格式。该数值格式由迎风部分和修正部分组成，修正部分是通过对给定的双曲方程引入新变量而得到的。通过大量的计算验证了该算法的稳定性和准确性。

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

Kyungpook Mathematical Journal MATHEMATICS-

CiteScore

1.30

自引率

0.00%

发文量

期刊介绍： Kyungpook Mathematical Journal is an international journal devoted to significant research concerning all aspects of mathematics. The journal has a preference for papers having a broad interest. One volume of the journal is published every year. Each volume until volume 42 consisted of two issues; however, starting from volume 43(2003), each volume consists of four issues. Authors should strive for expository clarity and good literary style. Manuscripts should be prepared as follows. The first page must consist of a short descriptive title, followed by the name(s) and address(es) of the author(s) along with an electronic address if available.