书目名称 | Finite Difference Methods on Irregular Networks |
编辑 | Bernd Heinrich |
视频video | |
丛书名称 | International Series of Numerical Mathematics |
图书封面 |  |
描述 | The finite difference and finite element methods are powerful tools for the approximate solution of differential equations governing diverse physical phenomena, and there is extensive literature on these discre tization methods. In the last two decades, some extensions of the finite difference method to irregular networks have been described and applied to solving boundary value problems in science and engineering. For instance, "box integration methods" have been widely used in electro nics. There are several papers on this topic, but a comprehensive study of these methods does not seem to have been attempted. The purpose of this book is to provide a systematic treatment of a generalized finite difference method on irregular networks for solving numerically elliptic boundary value problems. Thus, several disadvan tages of the classical finite difference method can be removed, irregular networks of triangles known from the finite element method can be applied, and advantageous properties of the finite difference approxima tions will be obtained. The book is written for advanced undergraduates and graduates in the area of numerical analysis as well as for mathematically inclined |
出版日期 | Book 1987 |
关键词 | calculus; convergence; differential equation; integral; integration; numerical analysis; science; special f |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-0348-7196-9 |
isbn_softcover | 978-3-0348-7198-3 |
isbn_ebook | 978-3-0348-7196-9Series ISSN 0373-3149 Series E-ISSN 2296-6072 |
issn_series | 0373-3149 |
copyright | Akademie Verlag Berlin 1987 |