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Numerical Bifurcation Analysis for Reaction-Diffusion Equations (Springer Series in Computational Mathematics, 28) - Softcover

 
9783642086694: Numerical Bifurcation Analysis for Reaction-Diffusion Equations (Springer Series in Computational Mathematics, 28)

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This monograph is the first to provide readers with numerical tools for a systematic analysis of bifurcation problems in reaction-diffusion equations. Many examples and figures illustrate analysis of bifurcation scenario and implementation of numerical schemes. Readers will gain a thorough understanding of numerical bifurcation analysis and the necessary tools for investigating nonlinear phenomena in reaction-diffusion equations.

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  • PublisherSpringer
  • Publication date2010
  • ISBN 10 3642086691
  • ISBN 13 9783642086694
  • BindingPaperback
  • LanguageEnglish
  • Number of pages428

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9783540672968: Numerical Bifurcation Analysis for Reaction-Diffusion Equations (Springer Series in Computational Mathematics, 28)

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Paperback. Condition: Very Good. A copy that has been read, but is in excellent condition. Pages are intact and not marred by notes or highlighting. The spine remains undamaged. This monograph is the first to provide readers with numerical tools for a systematic analysis of bifurcation problems in reaction-diffusion equations. Many examples and figures illustrate analysis of bifurcation scenario and implementation of numerical schemes. Readers will gain a thorough understanding of numerical bifurcation analysis and the necessary tools for investigating nonlinear phenomena in reaction-diffusion equations. Seller Inventory # RWARE0000062218

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Soft cover. Condition: Good. No Jacket. Springer, 2010. Oversize paperback. Some creasing to spine & covers, sticker to back cover, clean pages. Good. book. Seller Inventory # HVY-16293

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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This monograph is the first to provide readers with numerical tools for a systematic analysis of bifurcation problems in reaction-diffusion equations. Many examples and figures illustrate analysis of bifurcation scenario and implementation of numerical schemes. Readers will gain a thorough understanding of numerical bifurcation analysis and the necessary tools for investigating nonlinear phenomena in reaction-diffusion equations. 432 pp. Englisch. Seller Inventory # 9783642086694

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ISBN 10: 3642086691 ISBN 13: 9783642086694
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Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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 and mode interactions of a dass of reaction-diffusion equations. This is realized with a combination of three mathematical approaches: numerical methods for con tinuation of solution curves and for detection and computation of bifurcation points; effective low dimensional modeling of bifurcation scenario and long time dynamics of reaction-diffusion equations; analysis of bifurcation sce nario, mode-interactions and impact of boundary conditions. Seller Inventory # 9783642086694

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Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. First monograph on numerical aspects of bifurcation theoryThis monograph is the first to provide readers with numerical tools for a systematic analysis of bifurcation problems in reaction-diffusion equations. Many examples and figures illustrate anal. Seller Inventory # 5047702

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