Conservative Upwind Correction Method for Scalar Linear Hyperbolic Equations

Sang Dong Kim; Yong Hun Lee; Byeong Chun Shin

doi:10.5666/KMJ.2021.61.2.309

Conservative Upwind Correction Method for Scalar Linear Hyperbolic Equations

Sang Dong Kim^*
, Yong Hun Lee^*
, Byeong Chun Shin^*

^*Corresponding author for this work

Department of Mathematics

Gyeongbuk Provincial College
University of Wisconsin-Whitewater
Chonnam National University

Research output: Contribution to journal › Journal article › peer-review

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.

Original language	English
Pages (from-to)	309-322
Number of pages	14
Journal	Kyungpook Mathematical Journal
Volume	61
Issue number	2
DOIs	https://doi.org/10.5666/KMJ.2021.61.2.309
State	Published - 2021.06.25

Keywords

conservative method
hyperbolic scalar equation
ODE solver
quadrature rule
upwind method

Quacquarelli Symonds(QS) Subject Topics

Mathematics

Access to Document

10.5666/KMJ.2021.61.2.309

Cite this

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title = "Conservative Upwind Correction Method for Scalar Linear Hyperbolic Equations",

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.",

keywords = "conservative method, hyperbolic scalar equation, ODE solver, quadrature rule, upwind method",

author = "Kim, \{Sang Dong\} and Lee, \{Yong Hun\} and Shin, \{Byeong Chun\}",

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year = "2021",

month = jun,

day = "25",

doi = "10.5666/KMJ.2021.61.2.309",

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T1 - Conservative Upwind Correction Method for Scalar Linear Hyperbolic Equations

AU - Kim, Sang Dong

AU - Lee, Yong Hun

AU - Shin, Byeong Chun

N1 - Publisher Copyright: © Kyungpook Mathematical Journal

PY - 2021/6/25

Y1 - 2021/6/25

N2 - 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.

AB - 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.

KW - conservative method

KW - hyperbolic scalar equation

KW - ODE solver

KW - quadrature rule

KW - upwind method

UR - https://www.scopus.com/pages/publications/85112136992

U2 - 10.5666/KMJ.2021.61.2.309

DO - 10.5666/KMJ.2021.61.2.309

M3 - Journal article

AN - SCOPUS:85112136992

SN - 1225-6951

VL - 61

SP - 309

EP - 322

JO - Kyungpook Mathematical Journal

JF - Kyungpook Mathematical Journal

IS - 2

ER -

Conservative Upwind Correction Method for Scalar Linear Hyperbolic Equations

Abstract

Keywords

Quacquarelli Symonds(QS) Subject Topics

Access to Document

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