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Conservative Finite Difference Formulations, Variable Coefficients, Energy Estimates and Artificial Dissipation

Conservative Finite Difference Formulations, Variable Coefficients, Energy Estimates and... 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 http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Journal of Scientific Computing Springer Journals

Conservative Finite Difference Formulations, Variable Coefficients, Energy Estimates and Artificial Dissipation

Journal of Scientific Computing , Volume 29 (3) – Dec 7, 2005

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References (10)

Publisher
Springer Journals
Copyright
Copyright © 2005 by Springer Science+Business Media, Inc.
Subject
Mathematics; Algorithms; Computational Mathematics and Numerical Analysis; Appl.Mathematics/Computational Methods of Engineering; Theoretical, Mathematical and Computational Physics
ISSN
0885-7474
eISSN
1573-7691
DOI
10.1007/s10915-005-9013-4
Publisher site
See Article on Publisher Site

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

Journal

Journal of Scientific ComputingSpringer Journals

Published: Dec 7, 2005

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