Error Estimates for Well-Balanced Schemes on Simple Balance Laws : One-Dimensional Position-Dependent Models

Language: English

Published by Palgrave Macmillan, 2015

3319247840 / 9783319247847

Series: Book 62 of 155 - SpringerBriefs in Mathematics

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Seller: AHA-BUCH GmbH, Einbeck, GermanyAHA-BUCH GmbH

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nach der Bestellung gedruckt Neuware - Printed after ordering - 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.

Seller Inventory # 9783319247847

Title
Error Estimates for Well-Balanced Schemes on Simple Balance Laws : One-Dimensional Position-Dependent Models
Author
Laurent Gosse
Publisher
Palgrave Macmillan
Publication year
2015
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
3319247840
ISBN 13
9783319247847
Item weight
207 grams
Dimensions
235x155x8 mm
Series
Book 62 of 155: SpringerBriefs in Mathematics

AHA-BUCH GmbH

Einbeck, Germany

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