| 期刊全稱 | A Primer for a Secret Shortcut to PDEs of Mathematical Physics | | 影響因子2023 | Des McGhee,Rainer Picard,Marcus Waurick | | 視頻video | http://file.papertrans.cn/142/141878/141878.mp4 | | 發(fā)行地址 | Presents a way of solving PDEs with very little theory.Provides required background knowledge in the appendix.Appeals to students and researchers alike | | 學科分類 | Frontiers in Mathematics | | 圖書封面 |  | | 影響因子 | .?This book presents a concise introduction to a unified Hilbert space approach to the mathematical modelling.?.of physical phenomena which has been developed over recent years by Picard and his co-workers. The main focus is on time-dependent partial differential equations with a particular structure in the Hilbert space setting that ensures well-posedness and causality, two essential properties of any reasonable model in mathematical physics or engineering.However, the application of the theory to other types of equations is also demonstrated. By means of illustrative examples, from the straightforward to the more complex, the authors show that many of the classical models in mathematical physics as well as more recent models of novel materials and interactions are covered, or can be restructured to be covered, by this unified Hilbert space approach..The reader should require only a basic foundation in the theory of Hilbert spaces and operators therein. For convenience, however, some of the more technical background requirements are covered in detail in two appendices The theory is kept as elementary as possible, making the material suitable for a senior undergraduate or master’s | | Pindex | Book 2020 |
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