| 书目名称 | Layer-Adapted Meshes for Reaction-Convection-Diffusion Problems |
| 编辑 | Torsten Linß |
| 视频video | |
| 概述 | Includes supplementary material: |
| 丛书名称 | Lecture Notes in Mathematics |
| 图书封面 |  |
| 描述 | This is a book on numerical methods for singular perturbation problems – in part- ular, stationary reaction-convection-diffusion problems exhibiting layer behaviour. More precisely, it is devoted to the construction and analysis of layer-adapted meshes underlying these numerical methods. Numerical methods for singularly perturbed differential equations have been studied since the early 1970s and the research frontier has been constantly - panding since. A comprehensive exposition of the state of the art in the analysis of numerical methods for singular perturbation problems is [141] which was p- lished in 2008. As that monograph covers a big variety of numerical methods, it only contains a rather short introduction to layer-adapted meshes, while the present book is exclusively dedicated to that subject. An early important contribution towards the optimisation of numerical methods by means of special meshes was made by N.S. Bakhvalov [18] in 1969. His paper spawned a lively discussion in the literature with a number of further meshes - ing proposed and applied to various singular perturbation problems. However, in the mid 1980s, this development stalled, but was enlivened again by G |
| 出版日期 | Book 2010 |
| 关键词 | boundary layers; convection-diffusion; numerical analysis; numerical methods for differential equations |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-642-05134-0 |
| isbn_softcover | 978-3-642-05133-3 |
| isbn_ebook | 978-3-642-05134-0Series ISSN 0075-8434 Series E-ISSN 1617-9692 |
| issn_series | 0075-8434 |
| copyright | Springer-Verlag Berlin Heidelberg 2010 |
发表于 2025-3-21 19:02:30
