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Titlebook: Numerical Methods for Singularly Perturbed Differential Equations; Convection-Diffusion Hans-G?rg Roos,Martin Stynes,Lutz Tobiska Book 1996

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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videohttp://file.papertrans.cn/670/669092/669092.mp4
叢書名稱Springer Series in Computational Mathematics
圖書封面Titlebook: Numerical Methods for Singularly Perturbed Differential Equations; Convection-Diffusion Hans-G?rg Roos,Martin Stynes,Lutz Tobiska Book 1996
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
doihttps://doi.org/10.1007/978-3-662-03206-0
isbn_ebook978-3-662-03206-0Series ISSN 0179-3632 Series E-ISSN 2198-3712
issn_series 0179-3632
copyrightSpringer-Verlag Berlin Heidelberg 1996
The information of publication is updating

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0179-3632 were developed after 1980.Thus contemporary researchers must comb the literature to acquaint themselves with earlier work. Our purposes in writing this introduc978-3-662-03206-0Series ISSN 0179-3632 Series E-ISSN 2198-3712
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Hans-G?rg Roos,Martin Stynes,Lutz Tobiskay. These applications suggest that the theory not only leads to upper bounds that are inefficient but that can also be sub-optimal if their numerical estimation is based on too few model runs. It is concluded that this particular theory, while mathematically attractive, may not be well suited for engineering applications.
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Numerical Methods for Singularly Perturbed Differential EquationsConvection-Diffusion
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Book 19961st edition 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 pro
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Hans-G?rg Roos,Martin Stynes,Lutz Tobiskaes of uncertainty and/or limited sampling. Theories formulated to derive upper probability bounds offer an attractive alternative because first, they avoid postulating the probability laws that are often unknown and second, they substitute numerical optimization for statistical sampling. A critical
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