| 书目名称 | Computing Qualitatively Correct Approximations of Balance Laws |
| 副标题 | Exponential-Fit, Wel |
| 编辑 | Laurent Gosse |
| 视频video | |
| 概述 | Surveys both analytical and numerical aspects of hyperbolic balance laws (including the recent theory of viscosity solutions for systems).Numerous derivations of both well-balanced and asymptotic-pres |
| 丛书名称 | SEMA SIMAI Springer Series |
| 图书封面 |  |
| 描述 | Substantial effort has been drawn for years onto the development of (possibly high-order) numerical techniques for the scalar homogeneous conservation law, an equation which is strongly dissipative in L1 thanks to shock wave formation. Such a dissipation property is generally lost when considering hyperbolic systems of conservation laws, or simply inhomogeneous scalar balance laws involving accretive or space-dependent source terms, because of complex wave interactions. An overall weaker dissipation can reveal intrinsic numerical weaknesses through specific nonlinear mechanisms: Hugoniot curves being deformed by local averaging steps in Godunov-type schemes, low-order errors propagating along expanding characteristics after having hit a discontinuity, exponential amplification of truncation errors in the presence of accretive source terms... This book aims at presenting rigorous derivations of different, sometimes called well-balanced, numerical schemes which succeed in reconciling high accuracy with a stronger robustness even in the aforementioned accretive contexts. It is divided into two parts: one dealing with hyperbolic systems of balance laws, such as arising from quasi-one d |
| 出版日期 | Book 2013 |
| 关键词 | Asymptotic-Preserving and Well-Balanced schemes; Diffusive approximations of kinetic equations; Hyperb |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-88-470-2892-0 |
| isbn_softcover | 978-88-470-5855-2 |
| isbn_ebook | 978-88-470-2892-0Series ISSN 2199-3041 Series E-ISSN 2199-305X |
| issn_series | 2199-3041 |
| copyright | Springer-Verlag Italia 2013 |
发表于 2025-3-21 18:32:01
