书目名称 | Two-Scale Approach to Oscillatory Singularly Perturbed Transport Equations |
编辑 | Emmanuel Frénod |
视频video | |
概述 | Provides a very affordable approach to the homogenization theory.Gives a complete vision - from theory to numerics - of consequences of strong oscillations in transport phenomena.Contains several appl |
丛书名称 | Lecture Notes in Mathematics |
图书封面 |  |
描述 | This book presents the classical results of the two-scale convergence theory and explains – using several figures – why it works. It then shows how to use this theory to homogenize ordinary differential equations with oscillating coefficients as well as oscillatory singularly perturbed ordinary differential equations. In addition, it explores the homogenization of hyperbolic partial differential equations with oscillating coefficients and linear oscillatory singularly perturbed hyperbolic partial differential equations. Further, it introduces readers to the two-scale numerical methods that can be built from the previous approaches to solve oscillatory singularly perturbed transport equations (ODE and hyperbolic PDE) and demonstrates how they can be used efficiently. This book appeals to master’s and PhD students interested in homogenization and numerics, as well as to the Iter community.. . |
出版日期 | Book 2017 |
关键词 | Homogenization; Singular perturbation; Oscillations; Transport phenomena; Plasma |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-319-64668-8 |
isbn_softcover | 978-3-319-64667-1 |
isbn_ebook | 978-3-319-64668-8Series ISSN 0075-8434 Series E-ISSN 1617-9692 |
issn_series | 0075-8434 |
copyright | Springer International Publishing AG 2017 |