Research Catalog
Methods and applications of singular perturbations : boundary layers and multiple timescale dynamics
- Title
- Methods and applications of singular perturbations : boundary layers and multiple timescale dynamics / Ferdinand Verhulst.
- Author
- Verhulst, F. (Ferdinand), 1939-
- Publication
- New York : Springer, [2005], ©2005.
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| Status | Format | Access | Call Number | Item Location |
|---|---|---|---|---|
| Text | Request in advance | QA379 .V47 2005 | Off-site |
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Details
- Description
- xv, 324 pages : illustrations; 25 cm.
- Summary
- "Perturbation theory is the main focus of this workbook. In a systematic introductory manner this book delineates boundary layer theory for ordinary and partial differential equations, multi-timescale phenomena for nonlinear oscillations, diffusion and nonlinear wave equations. The book provides analysis of simple examples in the context of the general theory, as well as a final discussion of the more advanced problems. Precise estimates and excursions into the theoretical background make this workbook valuable to both the applied sciences and mathematics fields. As a bonus in its last chapter the book includes a collection of rare and useful pieces of literature, among them a summary of the Perturbation Theory of Matrices." "Detailed illustrations, examples and exercises as well as a clear explanation of the underlying theory makes this workbook ideal for senior undergraduate and beginning graduate students in applied mathematics as well as science and engineering fields."--BOOK JACKET.
- Series Statement
- Texts in applied mathematics ; 50
- Uniform Title
- Texts in applied mathematics ; 50.
- Subject
- Bibliography (note)
- Includes bibliographical references (p. [309]-320) and index.
- Contents
- 1. Introduction -- 2. Basic material -- 3. Approximation of integrals -- 4. Boundary layer behaviour -- 5. Two-point boundary value problems -- 6. Nonlinear boundary value problems -- 7. Elliptic boundary value problems -- 8. Boundary layers in time -- 9. Evolution equations with boundary layers -- 10. The continuation method -- 11. Averaging and timescales -- 12. Advanced averaging -- 13. Averaging for evolution equations -- 14. Wave equations on unbounded domains -- 15. Appendices -- Answers to odd-numbered exercises.
- ISBN
- 0387229663 (acid-free paper)
- LCCN
- 2005042479
- 9780387229669
- OCLC
- ocm57475894
- SCSB-5215560
- Owning Institutions
- Columbia University Libraries