| 书目名称 | Numerical Methods and Analysis of Multiscale Problems | | 编辑 | Alexandre L. Madureira | | 视频video | | | 概述 | Offers an introduction to asymptotic analysis techniques and various finite element methods for elliptic problems.Presents numerous case studies on modeling techniques of multiscale PDEs, in one- and | | 丛书名称 | SpringerBriefs in Mathematics | | 图书封面 |  | | 描述 | .This book is about numerical modeling of multiscale problems, and introduces several asymptotic analysis and numerical techniques which are necessary for a proper approximation of equations that depend on different physical scales. Aimed at advanced undergraduate and graduate students in mathematics, engineering and physics – or researchers seeking a no-nonsense approach –, it discusses examples in their simplest possible settings, removing mathematical hurdles that might hinder a clear understanding of the methods..The problems considered are given by singular perturbed reaction advection diffusion equations in one and two-dimensional domains, partial differential equations in domains with rough boundaries, and equations with oscillatory coefficients. This work shows how asymptotic analysis can be used to develop and analyze models and numerical methods that are robust and work well for a wide range of parameters.. | | 出版日期 | Book 2017 | | 关键词 | Asymptotic Analysis; Elliptic Equations; Finite Elements; Multiscale; Singular Perturbed Problems; partia | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-319-50866-5 | | isbn_softcover | 978-3-319-50864-1 | | isbn_ebook | 978-3-319-50866-5Series ISSN 2191-8198 Series E-ISSN 2191-8201 | | issn_series | 2191-8198 | | copyright | The Author(s) 2017 |
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发表于 2025-3-21 16:12:51
