| 書目名稱 | Partial Differential Equations in Action | | 副標(biāo)題 | From Modelling to Th | | 編輯 | Sandro Salsa,Gianmaria Verzini | | 視頻video | http://file.papertrans.cn/742/741521/741521.mp4 | | 概述 | The book takes an intriguing mixed approach to partial differential equations, shining a modern light on a classic topic.Many motivations and examples enlighten the interplay between modelling and the | | 叢書名稱 | UNITEXT | | 圖書封面 |  | | 描述 | .This work is an updated version of a book 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 for 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 the second part, chapters 6 to 10 concentrate on the development of Hilbert spaces methods for the variational formulation and the analysis of (mainly) linear boundary and initial-boundary value problems, while?Chapter 11 deals with vector-valued conservation laws, extending the theory developed in Chapter 4. The main differences with respect to the previous editions are: a new section on reaction diffusion models for population dynamics in a heterogeneous environment; several? | | 出版日期 | Textbook 2022Latest edition | | 關(guān)鍵詞 | Mathematical Modelling; Diffusion; Propagation and Transport; Waves and Vibrations; Weak solutions | | 版次 | 4 | | doi | https://doi.org/10.1007/978-3-031-21853-8 | | isbn_softcover | 978-3-031-21852-1 | | isbn_ebook | 978-3-031-21853-8Series ISSN 2038-5714 Series E-ISSN 2532-3318 | | issn_series | 2038-5714 | | copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
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