Finite Difference Computing with PDEs: A Modern Software Approach (Texts in Computational Science and Engineering)
暫譯: 有限差分計算與偏微分方程:現代軟體方法(計算科學與工程系列)
Hans Petter Langtangen, Svein Linge
- 出版商: Springer
- 出版日期: 2017-07-07
- 售價: $2,610
- 貴賓價: 9.5 折 $2,480
- 語言: 英文
- 頁數: 507
- 裝訂: Hardcover
- ISBN: 3319554557
- ISBN-13: 9783319554556
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商品描述
This book is open access under a CC BY 4.0 license.
This easy-to-read book introduces the basics of solving partial differential equations by means of finite difference methods. Unlike many of the traditional academic works on the topic, this book was written for practitioners. Accordingly, it especially addresses: the construction of finite difference schemes, formulation and implementation of algorithms, verification of implementations, analyses of physical behavior as implied by the numerical solutions, and how to apply the methods and software to solve problems in the fields of physics and biology.
商品描述(中文翻譯)
本書在 CC BY 4.0 授權下開放存取。
這本易讀的書籍介紹了通過有限差分法解決偏微分方程的基本概念。與許多傳統的學術著作不同,本書是為實務工作者撰寫的。因此,它特別針對以下內容:有限差分方案的構建、演算法的制定與實現、實現的驗證、數值解所暗示的物理行為分析,以及如何應用這些方法和軟體來解決物理學和生物學領域中的問題。