Numerical Bifurcation Analysis for Reaction-Diffusion Equations / by Zhen Mei.
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 illus...
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Full Text (via Springer) |
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| Main Author: | |
| Format: | eBook |
| Language: | English |
| Published: |
Berlin, Heidelberg :
Springer Berlin Heidelberg,
2000.
|
| Series: | Springer series in computational mathematics ;
28. |
| Subjects: |
MARC
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| 100 | 1 | |a Mei, Zhen. | |
| 245 | 1 | 0 | |a Numerical Bifurcation Analysis for Reaction-Diffusion Equations / |c by Zhen Mei. |
| 260 | |a Berlin, Heidelberg : |b Springer Berlin Heidelberg, |c 2000. | ||
| 300 | |a 1 online resource (xiv, 414 pages) | ||
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| 490 | 1 | |a Springer Series in Computational Mathematics, |x 0179-3632 ; |v 28. | |
| 505 | 0 | |a 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. | |
| 520 | |a 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. | ||
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| 650 | 0 | |a Numerical analysis. | |
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| 650 | 7 | |a Mathematics. |2 fast |0 (OCoLC)fst01012163. | |
| 650 | 7 | |a Numerical analysis. |2 fast |0 (OCoLC)fst01041273. | |
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| 830 | 0 | |a Springer series in computational mathematics ; |v 28. | |
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