Note on a classical conservative method for scalar hyper- bolic equations

Yong Hun Lee; Sang Dong Kim

doi:10.5666/KMJ.2016.56.4.1179

Note on a classical conservative method for scalar hyper- bolic equations

Yong Hun Lee
, Sang Dong Kim^*

^*Corresponding author for this work

Department of Mathematics

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

1 Scopus citations

Abstract

We provide a combination of the forward Euler method and the trapezoidal quadrature rule leads to a two-step conservative numerical method which possesses TV- stable property together with consistency.

Original language	English
Pages (from-to)	1179-1189
Number of pages	11
Journal	Kyungpook Mathematical Journal
Volume	56
Issue number	4
DOIs	https://doi.org/10.5666/KMJ.2016.56.4.1179
State	Published - 2016

Keywords

Conservative methods
Euler Method
Taylor expansion
Trapezoidal rule
Upwind method

Quacquarelli Symonds(QS) Subject Topics

Mathematics

Access to Document

10.5666/KMJ.2016.56.4.1179

Cite this

@article{3f05faafcc1c4bdcb94f7e16595d42ef,

title = "Note on a classical conservative method for scalar hyper- bolic equations",

abstract = "We provide a combination of the forward Euler method and the trapezoidal quadrature rule leads to a two-step conservative numerical method which possesses TV- stable property together with consistency.",

keywords = "Conservative methods, Euler Method, Taylor expansion, Trapezoidal rule, Upwind method",

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

note = "Publisher Copyright: {\textcopyright} 2016, Kyungpook Mathematical Journal.",

year = "2016",

doi = "10.5666/KMJ.2016.56.4.1179",

language = "English",

volume = "56",

pages = "1179--1189",

journal = "Kyungpook Mathematical Journal",

issn = "1225-6951",

number = "4",

}

TY - JOUR

T1 - Note on a classical conservative method for scalar hyper- bolic equations

AU - Lee, Yong Hun

AU - Kim, Sang Dong

PY - 2016

Y1 - 2016

N2 - We provide a combination of the forward Euler method and the trapezoidal quadrature rule leads to a two-step conservative numerical method which possesses TV- stable property together with consistency.

AB - We provide a combination of the forward Euler method and the trapezoidal quadrature rule leads to a two-step conservative numerical method which possesses TV- stable property together with consistency.

KW - Conservative methods

KW - Euler Method

KW - Taylor expansion

KW - Trapezoidal rule

KW - Upwind method

UR - https://www.scopus.com/pages/publications/85014892795

U2 - 10.5666/KMJ.2016.56.4.1179

DO - 10.5666/KMJ.2016.56.4.1179

M3 - Journal article

AN - SCOPUS:85014892795

SN - 1225-6951

VL - 56

SP - 1179

EP - 1189

JO - Kyungpook Mathematical Journal

JF - Kyungpook Mathematical Journal

IS - 4

ER -

Note on a classical conservative method for scalar hyper- bolic equations

Abstract

Keywords

Quacquarelli Symonds(QS) Subject Topics

Access to Document

Other files and links

Fingerprint

Cite this