Numerical Bifurcation Analysis for Reaction-Diffusion Equations
(Sprache: Englisch)
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....
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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 understanding of numerical bifurcation analysis and the necessary tools for investigating nonlinear phenomena in reaction-diffusion equations.
Klappentext zu „Numerical Bifurcation Analysis for Reaction-Diffusion Equations “
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.
Inhaltsverzeichnis zu „Numerical Bifurcation Analysis for Reaction-Diffusion Equations “
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.
Bibliographische Angaben
- Autor: Zhen Mei
- 2000, 414 Seiten, 58 Schwarz-Weiß-Abbildungen, Maße: 15,9 x 24,1 cm, Gebunden, Englisch
- Verlag: Springer
- ISBN-10: 3540672966
- ISBN-13: 9783540672968
- Erscheinungsdatum: 21.06.2000
Sprache:
Englisch
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