書目名稱 | Numerical Methods for Singularly Perturbed Differential Equations |
副標(biāo)題 | Convection-Diffusion |
編輯 | Hans-G?rg Roos,Martin Stynes,Lutz Tobiska |
視頻video | http://file.papertrans.cn/670/669092/669092.mp4 |
叢書名稱 | Springer Series in Computational Mathematics |
圖書封面 |  |
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 |
關(guān)鍵詞 | 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 |