书目名称 | Error Estimates for Well-Balanced Schemes on Simple Balance Laws |
副标题 | One-Dimensional Posi |
编辑 | Debora Amadori,Laurent Gosse |
视频video | http://file.papertrans.cn/315/314923/314923.mp4 |
概述 | Surveys both analytical and numerical aspects of 1D hyperbolic balance laws.Presents a strategy for proving the accuracy of well-balanced numerical schemes.Compares several practical schemes, includin |
丛书名称 | SpringerBriefs in Mathematics |
图书封面 |  |
描述 | .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.. |
出版日期 | Book 2015 |
关键词 | Hyperbolic systems of balance laws; Glimm-Liu-Bressan L1 stability theory; Error estimates for well-ba |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-319-24785-4 |
isbn_softcover | 978-3-319-24784-7 |
isbn_ebook | 978-3-319-24785-4Series ISSN 2191-8198 Series E-ISSN 2191-8201 |
issn_series | 2191-8198 |
copyright | The Author(s) 2015 |