| 书目名称 | Partial Differential Equations in Action |
| 副标题 | From Modelling to Th |
| 编辑 | Sandro Salsa,Gianmaria Verzini |
| 视频video | |
| 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 |
| 丛书名称 | UNITEXT |
| 图书封面 |  |
| 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 |
| 关键词 | 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 |
发表于 2025-3-21 16:11:54
