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- catalog abstract ""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."--Jacket.".
- catalog contributor b11786757.
- catalog created "c2000.".
- catalog date "2000".
- catalog date "c2000.".
- catalog dateCopyrighted "c2000.".
- catalog description ""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."--Jacket.".
- catalog description "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. 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. Mode Interaction on a Homotopy of BCs.".
- catalog description "Includes bibliographical references (p. [395]-410) and index.".
- catalog extent "xiv, 414 p. :".
- catalog identifier "3540672966 (acid-free paper)".
- catalog identifier "9783662041772 (ebk.)".
- catalog isPartOf "Springer series in computational mathematics ; 28.".
- catalog isPartOf "Springer series in computational mathematics, 0179-3632 ; 28".
- catalog issued "2000".
- catalog issued "c2000.".
- catalog language "eng".
- catalog publisher "Berlin ; New York : Springer,".
- catalog subject "515/.353 21".
- catalog subject "Bifurcation theory.".
- catalog subject "QA901 .M45 2000".
- catalog subject "Reaction-diffusion equations Numerical solutions.".
- catalog tableOfContents "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. 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. Mode Interaction on a Homotopy of BCs.".
- catalog title "Numerical bifurcation analysis for reaction-diffusion equations / Zhen Mei.".
- catalog type "text".