Conservative finite difference formulations, variable coefficients, energy estimates and artificial dissipation

Jan Nordström

doi:10.1007/s10915-005-9013-4

Conservative finite difference formulations, variable coefficients, energy estimates and artificial dissipation

Jan Nordström

Uppsala University

Research output: Contribution to journal › Article › peer-review

108 Citations (Scopus)

Abstract

Artificial dissipation terms for finite difference approximations of linear hyperbolic problems with variable coefficients are determined such that an energy estimate and strict stability is obtained. Both conservative and non-conservative approximations are considered. The dissipation terms are computed such that there is no loss of accuracy.

Original language	English
Pages (from-to)	375-404
Number of pages	30
Journal	Journal of Scientific Computing
Volume	29
Issue number	3
DOIs	https://doi.org/10.1007/s10915-005-9013-4
Publication status	Published - Dec 2006
Externally published	Yes

Keywords

Artificial dissipation
Energy estimate
Finite differences
Stability
Variable coefficients

ASJC Scopus subject areas

Software
Theoretical Computer Science
Numerical Analysis
General Engineering
Computational Theory and Mathematics
Computational Mathematics
Applied Mathematics

Access to Document

10.1007/s10915-005-9013-4

Cite this

@article{bf783fca58814526b645d65b069231e0,

title = "Conservative finite difference formulations, variable coefficients, energy estimates and artificial dissipation",

abstract = "Artificial dissipation terms for finite difference approximations of linear hyperbolic problems with variable coefficients are determined such that an energy estimate and strict stability is obtained. Both conservative and non-conservative approximations are considered. The dissipation terms are computed such that there is no loss of accuracy.",

keywords = "Artificial dissipation, Energy estimate, Finite differences, Stability, Variable coefficients",

author = "Jan Nordstr{\"o}m",

year = "2006",

month = dec,

doi = "10.1007/s10915-005-9013-4",

language = "English",

volume = "29",

pages = "375--404",

journal = "Journal of Scientific Computing",

issn = "0885-7474",

publisher = "Springer New York",

number = "3",

}

TY - JOUR

T1 - Conservative finite difference formulations, variable coefficients, energy estimates and artificial dissipation

AU - Nordström, Jan

PY - 2006/12

Y1 - 2006/12

N2 - Artificial dissipation terms for finite difference approximations of linear hyperbolic problems with variable coefficients are determined such that an energy estimate and strict stability is obtained. Both conservative and non-conservative approximations are considered. The dissipation terms are computed such that there is no loss of accuracy.

AB - Artificial dissipation terms for finite difference approximations of linear hyperbolic problems with variable coefficients are determined such that an energy estimate and strict stability is obtained. Both conservative and non-conservative approximations are considered. The dissipation terms are computed such that there is no loss of accuracy.

KW - Artificial dissipation

KW - Energy estimate

KW - Finite differences

KW - Stability

KW - Variable coefficients

UR - http://www.scopus.com/inward/record.url?scp=33845494937&partnerID=8YFLogxK

U2 - 10.1007/s10915-005-9013-4

DO - 10.1007/s10915-005-9013-4

M3 - Article

AN - SCOPUS:33845494937

SN - 0885-7474

VL - 29

SP - 375

EP - 404

JO - Journal of Scientific Computing

JF - Journal of Scientific Computing

IS - 3

ER -

Conservative finite difference formulations, variable coefficients, energy estimates and artificial dissipation

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this