| 书目名称 | Numerical Methods for Singularly Perturbed Differential Equations | | 副标题 | Convection-Diffusion | | 编辑 | Hans-Görg Roos,Martin Stynes,Lutz Tobiska | | 视频video | | | 丛书名称 | Springer Series in Computational Mathematics | | 图书封面 |  | | 描述 | The analysis of singular perturbed differential equations began early in this century, when approximate solutions were constructed from asymptotic ex pansions. (Preliminary attempts appear in the nineteenth century [vD94].) This technique has flourished since the mid-1960s. Its principal ideas and methods are described in several textbooks. Nevertheless, asymptotic ex pansions may be impossible to construct or may fail to simplify the given problem; then numerical approximations are often the only option. The systematic study of numerical methods for singular perturbation problems started somewhat later - in the 1970s. While the research frontier has been steadily pushed back, the exposition of new developments in the analysis of numerical methods has been neglected. Perhaps the only example of a textbook that concentrates on this analysis is [DMS80], which collects various results for ordinary differential equations, but many methods and techniques that are relevant today (especially for partial differential equa tions) were developed after 1980.Thus contemporary researchers must comb the literature to acquaint themselves with earlier work. Our purposes in writing this introduc | | 出版日期 | Book 19961st edition | | 关键词 | Boundary value problem; Grenzschichten; Navier-Stokes-Gleichungen; Navier-stokes equations; Singular per | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-662-03206-0 | | isbn_ebook | 978-3-662-03206-0Series ISSN 0179-3632 Series E-ISSN 2198-3712 | | issn_series | 0179-3632 | | copyright | Springer-Verlag Berlin Heidelberg 1996 |
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发表于 2025-3-21 19:39:02
