| 書(shū)目名稱(chēng) | Numerical Bifurcation Analysis for Reaction-Diffusion Equations |
| 編輯 | Zhen Mei |
| 視頻video | http://file.papertrans.cn/669/668965/668965.mp4 |
| 概述 | First monograph on numerical aspects of bifurcation theory.Includes supplementary material: |
| 叢書(shū)名稱(chēng) | Springer Series in Computational Mathematics |
| 圖書(shū)封面 |  |
| 描述 | Reaction-diffusion equations are typical mathematical models in biology, chemistry and physics. These equations often depend on various parame- ters, e. g. temperature, catalyst and diffusion rate, etc. Moreover, they form normally a nonlinear dissipative system, coupled by reaction among differ- ent substances. The number and stability of solutions of a reaction-diffusion system may change abruptly with variation of the control parameters. Cor- respondingly we see formation of patterns in the system, for example, an onset of convection and waves in the chemical reactions. This kind of phe- nomena is called bifurcation. Nonlinearity in the system makes bifurcation take place constantly in reaction-diffusion processes. Bifurcation in turn in- duces uncertainty in outcome of reactions. Thus analyzing bifurcations is essential for understanding mechanism of pattern formation and nonlinear dynamics of a reaction-diffusion process. However, an analytical bifurcation analysis is possible only for exceptional cases. This book is devoted to nu- merical analysis of bifurcation problems in reaction-diffusion equations. The aim is to pursue a systematic investigation of generic bifurcations a |
| 出版日期 | Book 2000 |
| 關(guān)鍵詞 | Numerics; Numerik; Reaktion-Diffusionsgleichungen; Verzweigung; bifurcation; calculus; differential equati |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-662-04177-2 |
| isbn_softcover | 978-3-642-08669-4 |
| isbn_ebook | 978-3-662-04177-2Series ISSN 0179-3632 Series E-ISSN 2198-3712 |
| issn_series | 0179-3632 |
| copyright | Springer-Verlag Berlin Heidelberg 2000 |
|Archiver|手機(jī)版|小黑屋|
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