株式会社極東書店トップ ＞ 商品一覧 ＞ Partial Differential Equations : Modeling, Analysis and Numerical Approximation. Softcover reprint of the original 1st ed. 2016.
商品詳細
Partial Differential Equations : Modeling, Analysis and Numerical Approximation. Softcover reprint of the original 1st ed. 2016.
・ISBN 978-3-319-80066-0 paper EUR 59.99
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| 著者・編者 | Le Dret, Herve / Lucquin, Brigitte, |
|---|---|
| シリーズ | International Series of Numerical Mathematics |
| 出版社 | (Birkhauser Verlag AG, SZ) |
| 出版年月 | 2018 |
| ページ数 | 395 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-14284＞ |
解説
This book is devoted to the study of partial differential equation problems both from the theoretical and numerical points of view. After presenting modeling aspects, it develops the theoretical analysis of partial differential equation problems for the three main classes of partial differential equations: elliptic, parabolic and hyperbolic. Several numerical approximation methods adapted to each of these examples are analyzed: finite difference, finite element and finite volumes methods, and they are illustrated using numerical simulation results. Although parts of the book are accessible to Bachelor students in mathematics or engineering, it is primarily aimed at Masters students in applied mathematics or computational engineering. The emphasis is on mathematical detail and rigor for the analysis of both continuous and discrete problems.