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Analyzing multiscale phenomena using singular perturbation methods : American Mathematical Society short course, January 5-6, 1998, Baltimore, Maryland / Jane Cronin, Robert E. O'Malley, Jr., editors.
- Format:
- Book
- Series:
- Proceedings of symposia in applied mathematics. AMS short course lecture notes ; Volume 56.
- Proceedings of Symposia in Applied Mathematics : AMS Short Course Lecture Notes ; Volume 56
- Language:
- English
- Subjects (All):
- Singular perturbations (Mathematics)--Congresses.
- Singular perturbations (Mathematics).
- Differentiable dynamical systems--Congresses.
- Differentiable dynamical systems.
- Physical Description:
- 1 online resource (201 p.)
- Place of Publication:
- Providence, Rhode Island : American Mathematical Society, 1999.
- Language Note:
- English
- Summary:
- To understand multiscale phenomena, it is essential to employ asymptotic methods to construct approximate solutions and to design effective computational algorithms. This volume consists of articles based on the AMS Short Course in Singular Perturbations held at the annual Joint Mathematics Meetings in Baltimore (MD). Leading experts discussed the following topics which they expand upon in the book: boundary layer theory, matched expansions, multiple scales, geometric theory, computational techniques, and applications in physiology and dynamic metastability. Readers will find that this text offers an up-to-date survey of this important field with numerous references to the current literature, both pure and applied.
- Contents:
- ""Contents""; ""Preface""; ""Figuring out singular perturbations after a first course in ODEs""; ""The method of multiple scales""; ""Computational methods for singularly perturbed systems""; ""An introduction to geometric methods and dynamical systems theory for singular perturbation problems""; ""Analysis of cellular oscillations""; ""Exponential asymptotics and convection-diffusion-reaction models""; ""Index""; ""A""; ""B""; ""C""; ""D""; ""E""; ""F""; ""G""; ""H""; ""I""; ""J""; ""K""; ""L""; ""M""; ""N""; ""O""; ""P""; ""Q""; ""R""; ""S""; ""T""; ""U""; ""V""; ""W""; ""Y""
- Notes:
- 'Lecture notes prepared for the American Mathematical Society short course, Singular Perturbation Concepts of Differential Equations held in Baltimore, Maryland January 5-6, 1998"--T.p. verso.
- Includes bibliographical references at the end of each chapters and index.
- Description based on print version record.
- ISBN:
- 0-8218-9271-1
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