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Numerical Bifurcation Analysis for Reaction-Diffusion Equations

Author: Zhen Mei
Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 2000.
Series: Springer series in computational mathematics, 28.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
This book provides the readers numerical tools for a systematic analysis of bifurcation problems in reaction- diffusion equations. Emphasis is put on combination of numerical analysis with bifurcation theory and application to reaction-diffusion equations. Many examples and figures are used to illustrate analysis of bifurcation scenario and implementation of numerical schemes. The reader will have a thorough  Read more...
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Details

Genre/Form: Electronic books
Additional Physical Format: Print version:
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Zhen Mei
ISBN: 9783662041772 3662041774
OCLC Number: 851382178
Description: 1 online resource (xiv, 414 pages).
Contents: 1. Reaction-Diffusion Equations --
2. Continuation Methods --
3. Detecting and Computing Bifurcation Points --
4. Branch Switching at Simple Bifurcation Points --
5. Bifurcation Problems with Symmetry --
6. Liapunov-Schmidt Method --
7. Center Manifold Theory --
8. A Bifurcation Function for Homoclinic Orbits --
9. One-Dimensional Reaction-Diffusion Equations --
10. Reaction-Diffusion Equations on a Square --
11. Normal Forms for Hopf Bifurcations --
12. Steady/Steady State Mode Interactions --
13. Hopf/Steady State Mode Interactions --
14. Homotopy of Boundary Conditions --
15. Bifurcations along a Homotopy of BCs --
16. A Mode Interaction on a Homotopy of BCs --
List of Figures --
List of Tables.
Series Title: Springer series in computational mathematics, 28.
Responsibility: by Zhen Mei.

Abstract:

This monograph is the first to provide readers with numerical tools for a systematic analysis of bifurcation problems in reaction-diffusion equations. Readers will gain a thorough understanding of  Read more...

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