| 书目名称 | Numerical Solution of Time-Dependent Advection-Diffusion-Reaction Equations |
| 编辑 | Willem Hundsdorfer,Jan Verwer |
| 视频video | |
| 概述 | Monograph on topic with strong importance for applications.Includes supplementary material: |
| 丛书名称 | Springer Series in Computational Mathematics |
| 图书封面 |  |
| 描述 | This book deals with numerical methods for solving partial differential equa tions (PDEs) coupling advection, diffusion and reaction terms, with a focus on time-dependency. A combined treatment is presented of methods for hy perbolic problems, thereby emphasizing the one-way wave equation, meth ods for parabolic problems and methods for stiff and non-stiff ordinary dif ferential equations (ODEs). With regard to time-dependency we have at tempted to present the algorithms and the discussion of their properties for the three different types of differential equations in a unified way by using semi-discretizations, i. e. , the method of lines, whereby the PDE is trans formed into an ODE by a suitable spatial discretization. In addition, for hy perbolic problems we also discuss discretizations that use information based on characteristics. Due to this combination of methods, this book differs substantially from more specialized textbooks that deal exclusively with nu merical methods for either PDEs or ODEs. We treat integration methods suitable for both classes of problems. This combined treatment offers a clear advantage. On the one hand, in the field of numerical ODEs highly v |
| 出版日期 | Book 2003 |
| 关键词 | Evolution Equations; Numerical Integration; Numerical Mathematics; Partial Differential Equations; Trans |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-662-09017-6 |
| isbn_softcover | 978-3-642-05707-6 |
| isbn_ebook | 978-3-662-09017-6Series ISSN 0179-3632 Series E-ISSN 2198-3712 |
| issn_series | 0179-3632 |
| copyright | Springer-Verlag Berlin Heidelberg 2003 |
发表于 2025-3-21 19:51:16
