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Titlebook: Numerical Solution of Time-Dependent Advection-Diffusion-Reaction Equations; Willem Hundsdorfer,Jan Verwer Book 2003 Springer-Verlag Berli

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發(fā)表于 2025-3-21 19:51:16 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書目名稱Numerical Solution of Time-Dependent Advection-Diffusion-Reaction Equations
編輯Willem Hundsdorfer,Jan Verwer
視頻videohttp://file.papertrans.cn/670/669219/669219.mp4
概述Monograph on topic with strong importance for applications.Includes supplementary material:
叢書名稱Springer Series in Computational Mathematics
圖書封面Titlebook: Numerical Solution of Time-Dependent Advection-Diffusion-Reaction Equations; Willem Hundsdorfer,Jan Verwer Book 2003 Springer-Verlag Berli
描述This book deals with numerical methods for solving partial differential equa- tions (PDEs) coupling advection, diffusion and reaction terms, with a focus on time-dependency. A combined treatment is presented of methods for hy- perbolic problems, thereby emphasizing the one-way wave equation, meth- ods for parabolic problems and methods for stiff and non-stiff ordinary dif- ferential equations (ODEs). With regard to time-dependency we have at- tempted to present the algorithms and the discussion of their properties for the three different types of differential equations in a unified way by using semi-discretizations, i. e. , the method of lines, whereby the PDE is trans- formed into an ODE by a suitable spatial discretization. In addition, for hy- perbolic problems we also discuss discretizations that use information based on characteristics. Due to this combination of methods, this book differs substantially from more specialized textbooks that deal exclusively with nu- merical methods for either PDEs or ODEs. We treat integration methods suitable for both classes of problems. This combined treatment offers a clear advantage. On the one hand, in the field of numerical ODEs highly v
出版日期Book 2003
關(guān)鍵詞Evolution Equations; Numerical Integration; Numerical Mathematics; Partial Differential Equations; Trans
版次1
doihttps://doi.org/10.1007/978-3-662-09017-6
isbn_softcover978-3-642-05707-6
isbn_ebook978-3-662-09017-6Series ISSN 0179-3632 Series E-ISSN 2198-3712
issn_series 0179-3632
copyrightSpringer-Verlag Berlin Heidelberg 2003
The information of publication is updating

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Willem Hundsdorfer,Jan Verwerurban growth contribute?to the understanding of such patterns of the built environment,?it is the complex web?of dynamic?geographies that?include?authoritarian governance, early mobility (pre-tourism) policy, and other such?adminstrative tools?that?have determined?the roles of coastal communities in
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etal vulnerabilities. In recent years, The Chilean National Forestry Corporation (CONAF) has developed the concept of ., through its . program. Nature bathing draws from validated programs that have been found to strengthen the immune system and reduce anxiety, depression, and stress, all of which m
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Basic Concepts and Discretizations, to discuss important basic concepts and discretizations for ordinary differential equations and for advection and diffusion equations in one spatial dimension. More advanced material will be treated in later chapters.
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Time Integration Methods,istep methods. In this chapter we give examples of methods which are of interest in the discretization of time-dependent PDEs. We will confine ourselves to methods having a low to moderate order. Further we pay attention to properties of specific interest to PDEs, namely the positivity property and
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