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商品詳細
Combined Methods for Elliptic Equations with Singularities, Interfaces and Infinities. Softcover reprint of the original 1st ed. 1998.
・ISBN 978-1-4613-3340-1 paper EUR 49.99
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お気に入り
★★★
| 著者・編者 | Zi Cai Li, |
|---|---|
| シリーズ | Mathematics and Its Applications |
| 出版社 | (Springer-Verlag New York Inc., US) |
| 出版年月 | 2011 |
| ページ数 | 479 pp. |
| 言語 | ENG |
| ニュース番号 | <M25-22831> |
解説
In this book the author sets out to answer two important questions: 1. Which numerical methods may be combined together? 2. How can different numerical methods be matched together? In doing so the author presents a number of useful combinations, for instance, the combination of various FEMs, the combinations of FEM-FDM, REM-FEM, RGM-FDM, etc. The combined methods have many advantages over single methods: high accuracy of solutions, less CPU time, less computer storage, easy coupling with singularities as well as the complicated boundary conditions. Since coupling techniques are essential to combinations, various matching strategies among different methods are carefully discussed. The author provides the matching rules so that optimal convergence, even superconvergence, and optimal stability can be achieved, and also warns of the matching pitfalls to avoid.
Audience: The book is intended for both mathematicians and engineers and may be used as text for advanced students.
Audience: The book is intended for both mathematicians and engineers and may be used as text for advanced students.