【2015新书】 Error Estimates for Well-Balanced Schemes on Simple Balance Laws: One-Dimensional Position-Dependent Models

Book 图书名称： Error Estimates for Well-Balanced Schemes on Simple Balance Laws: One-Dimensional Position-Dependent Models
Author 作者： Debora Amadori, Laurent Gosse
Publisher 出版社： Springer
Page 页数： 110
Publishing Date 出版时间： Nov 24, 2015
Language 语言： English
Size 大小： 3 MB
Format 格式： pdf 文字版
ISBN: 3319247840, 9783319247847
Edition: 第1版 搜索过论坛，没有该文档


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.

== Table of contents ==
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