| 书目名称 | High Order Difference Methods for Time Dependent PDE | | 编辑 | Bertil Gustafsson | | 视频video | | | 概述 | Includes supplementary material: | | 丛书名称 | Springer Series in Computational Mathematics | | 图书封面 |  | | 描述 | Many books have been written on ?nite difference methods (FDM), but there are good reasons to write still another one. The main reason is that even if higher order methods have been known for a long time, the analysis of stability, accuracy and effectiveness is missing to a large extent. For example, the de?nition of the formal high order accuracy is based on the assumption that the true solution is smooth, or expressed differently, that the grid is ?ne enough such that all variations in the solution are well resolved. In many applications, this assumption is not ful?lled, and then it is interesting to know if a high order method is still effective. Another problem that needs thorough analysis is the construction of boundary conditions such that both accuracy and stability is upheld. And ?nally, there has been quite a strongdevelopmentduringthe last years, inparticularwhenit comesto verygeneral and stable difference operators for application on initial–boundary value problems. The content of the book is not purely theoretical, neither is it a set of recipes for varioustypesof applications. The idea is to give an overviewof the basic theoryand constructionprinciplesfor differencemet | | 出版日期 | Book 2008 | | 关键词 | Approximation; difference methods; high order; initial-boundary value problems; partial differential equ | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-540-74993-6 | | isbn_softcover | 978-3-642-09439-2 | | isbn_ebook | 978-3-540-74993-6Series ISSN 0179-3632 Series E-ISSN 2198-3712 | | issn_series | 0179-3632 | | copyright | Springer-Verlag Berlin Heidelberg 2008 |
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发表于 2025-3-21 18:14:09
