| 書目名稱 | Partial Differential Equations in Action | | 副標(biāo)題 | From Modelling to Th | | 編輯 | Sandro Salsa | | 視頻video | http://file.papertrans.cn/742/741520/741520.mp4 | | 概述 | Includes supplementary material: | | 叢書名稱 | Universitext | | 圖書封面 |  | | 描述 | ..The main purpose is on the one hand to train the students to appreciate the interplay between theory and modelling in problems arising in the applied sciences; on the other hand to give them a solid theoretical background for numerical methods, such as finite elements. Accordingly, this textbook is divided into two parts. The first one has a rather elementary character with the goal of developing and studying basic problems from the macro-areas of diffusion, propagation and transport, waves and vibrations. Ideas and connections with concrete aspects are emphasized whenever possible, in order to provide intuition and feeling for the subject. For this part, a knowledge of advanced calculus and ordinary differential equations is required. Also, the repeated use of the method of separation of variables assumes some basic results from the theory of Fourier series, which are summarized in an appendix....The main topic of the second part is the development of Hilbert space methods for the variational formulation and analysis of linear boundary and initial-boundary value problemsemph{. }%. Given the abstract nature of these chapters, an effort has been made to provide intuition and motiv | | 出版日期 | Textbook 20091st edition | | 關(guān)鍵詞 | Boundary value problem; PDR; Sobolev space; applications; methods; ordinary differential equation; partial | | 版次 | 1 | | doi | https://doi.org/10.1007/978-88-470-0752-9 | | isbn_softcover | 978-88-470-0751-2 | | isbn_ebook | 978-88-470-0752-9Series ISSN 0172-5939 Series E-ISSN 2191-6675 | | issn_series | 0172-5939 | | copyright | Springer-Verlag Milan 2009 |
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