Algorithms for Hyperbolic Systems and Applications

Name: Algorithms for Hyperbolic Systems and Applications
Brand: VDM Verlag
SKU: 9783639279870
Price: 303.75 RON
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Autor: Richard R. Naidoo

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Editura: VDM Verlag

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Recent second and third order finite difference schemes for the computation of weak solution of hype...

Informații despre carte

Autor

Richard R. Naidoo

Limbă

engleză

Legare

Carte - Carte broșată

Publicat

2010

Pagini

148

EAN

9783639279870

ISBN

3639279875

Enbook ID

06835183

Editura

VDM Verlag

Greutate

227

Dimensiuni

152 x 229 x 9

Descriere completă

Recent second and third order finite difference schemes for the computation of weak solution of hyperbolic conservation laws are modified resulting in methods for stiff or non-stiff systems. The modified schemes also fall in the class of central schemes, all of which can be viewed as based on the well-known Lax-Friedrichs (LxF) schemes. The schemes are Riemann-solver free high resolution schemes and therefore not tied to any Eigen- structure of the problem. They can be implemented in a straight forward manner as black-box solvers for general conservation laws and related equations governing the evolution of large gradient phenomena. Their capabilities for both short-time and long-time scheme integrations are assessed. These modified schemes yields results similar to those of splitting, Lax-Wendroff MacCormack, ENO and the Riemann solver schemes. Numerical studies performed on relaxation systems indicate the accuracy and robustness of the modified schemes. In addition, their application to the plasma fluid equations constitutes a novel approach to the numerical integration of such systems.

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Algorithms for Hyperbolic Systems and Applications

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