Téléchargez le livre : Error Estimates for Well-Balanced Schemes on Simple Balance Laws

Error Estimates for Well-Balanced Schemes on Simple Balance Laws

One-Dimensional Position-Dependent Models de

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Éditeur :

Springer


Collection :

SpringerBriefs in Mathematics

Paru le : 2015-10-23

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Description

This monograph presents, in an attractive and self-contained form, techniques based on the L1 stability theory derived at the end of the 1990s by A. Bressan, T.-P. Liu and T. Yang that yield original error estimates for so-called well-balanced numerical schemes solving 1D hyperbolic systems of balance laws. Rigorous error estimates are presented for both scalar balance laws and a position-dependent relaxation system, in inertial approximation. Such estimates shed light on why those algorithms based on source terms handled like "local scatterers" can outperform other, more standard, numerical schemes. Two-dimensional Riemann problems for the linear wave equation are also solved, with discussion of the issues raised relating to the treatment of 2D balance laws. All of the material provided in this book is highly relevant for the understanding of well-balanced schemes and will contribute to future improvements.
Pages
110 pages
Collection
SpringerBriefs in Mathematics
Parution
2015-10-23
Marque
Springer
EAN papier
9783319247847
EAN PDF
9783319247854
Informations sur l'ebook
Nombre pages copiables
1
Nombre pages imprimables
11
Taille du fichier
3246 Ko
Prix
52,74 €
EAN EPUB
9783319247854
Informations sur l'ebook
Nombre pages copiables
1
Nombre pages imprimables
11
Taille du fichier
2458 Ko
Prix
52,74 €

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