| 书目名称 | Numerical Bifurcation Analysis for Reaction-Diffusion Equations |
| 编辑 | Zhen Mei |
| 视频video | |
| 概述 | First monograph on numerical aspects of bifurcation theory.Includes supplementary material: |
| 丛书名称 | Springer Series in Computational Mathematics |
| 图书封面 |  |
| 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 |
| 关键词 | 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 |
发表于 2025-3-21 19:57:01
