书目名称 | Partial Differential Equations in Action | 副标题 | From Modelling to Th | 编辑 | Sandro Salsa | 视频video | | 概述 | Addresses the interplay between theory and modeling in problems arising in the applied sciences.Focuses on ideas and connections to concrete applications, in order to promote readers’ intuition and fe | 丛书名称 | UNITEXT | 图书封面 |  | 描述 | The book is intended as an advanced undergraduate or first-year graduate course for students from various disciplines, including applied mathematics, physics and engineering. It has evolved from courses offered on partial differential equations (PDEs) over the last several years at the Politecnico di Milano. These courses had a twofold purpose: on the one hand, to teach students to appreciate the interplay between theory and modeling in problems arising in the applied sciences, and on the other to provide them with a solid theoretical background in numerical methods, such as finite elements. Accordingly, this textbook is divided into two parts. The first part, chapters 2 to 5, is more elementary in nature and focuses on developing and studying basic problems from the macro-areas of diffusion, propagation and transport, waves and vibrations. In turn the second part, chapters 6 to 11, concentrates on the development of Hilbert spaces methods for the variational formulation and the analysis of (mainly) linear boundary and initial-boundary value problems.The third edition contains a few text and formulas revisions and new exercises.. | 出版日期 | Textbook 20163rd edition | 关键词 | Analysis; Boundary value problems; Hilbert spaces method; Modelling; PDE; partial differential equations | 版次 | 3 | doi | https://doi.org/10.1007/978-3-319-31238-5 | isbn_ebook | 978-3-319-31238-5Series ISSN 2038-5714 Series E-ISSN 2532-3318 | issn_series | 2038-5714 | copyright | Springer International Publishing Switzerland 2016 |
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