书目名称 | Methods of Mathematical Modelling |
副标题 | Continuous Systems a |
编辑 | Thomas Witelski,Mark Bowen |
视频video | |
概述 | Provides a self-contained and accessible introduction to mathematical modelling using ordinary and partial differential equations.Presents key approaches for formulating models and solution techniques |
丛书名称 | Springer Undergraduate Mathematics Series |
图书封面 |  |
描述 | .This book presents mathematical modelling and the integrated process of formulating sets of equations to describe real-world problems. It describes methods for obtaining solutions of challenging differential equations stemming from problems in areas such as chemical reactions, population dynamics, mechanical systems, and fluid mechanics..Chapters 1 to 4 cover essential topics in ordinary differential equations, transport equations and the calculus of variations that are important for formulating models. Chapters 5 to 11 then develop more advanced techniques including similarity solutions, matched asymptotic expansions, multiple scale analysis, long-wave models, and fast/slow dynamical systems..Methods of Mathematical Modelling. will be useful for advanced undergraduate or beginning graduate students in applied mathematics, engineering and other applied sciences.. |
出版日期 | Textbook 2015 |
关键词 | Asymptotic Analysis; Calculus of Variations; Mathematical Modelling; Multiple Scale Analysis; Nonlinear |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-319-23042-9 |
isbn_softcover | 978-3-319-23041-2 |
isbn_ebook | 978-3-319-23042-9Series ISSN 1615-2085 Series E-ISSN 2197-4144 |
issn_series | 1615-2085 |
copyright | Springer Nature Switzerland AG 2015 |