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Methods and Applications of Singular Perturbations - Ferdinand Verhulst

Methods and Applications of Singular Perturbations

Boundary Layers and Multiple Timescale Dynamics
Buch | Softcover
328 Seiten
2010 | Softcover reprint of hardcover 1st ed. 2005
Springer-Verlag New York Inc.
978-1-4419-1992-2 (ISBN)
CHF 104,80 inkl. MwSt
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Perturbation theory, one of the most intriguing and essential topics in mathematics, and its applications to the natural and engineering sciences is the main focus of this workbook. In a systematic introductory manner, this unique book deliniates 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 makes 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, such as the summary of the Perturbation theory of Matrices.


Detailed illustrations, stimulating 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.

Basic Material.- Approximation of Integrals.- Boundary Layer Behaviour.- Two-Point Boundary Value Problems.- Nonlinear Boundary Value Problems.- Elliptic Boundary Value Problems.- Boundary Layers in Time.- Evolution Equations with Boundary Layers.- The Continuation Method.- Averaging and Timescales.- Advanced Averaging.- Averaging for Evolution Equations.- Wave Equations on Unbounded Domains.

Erscheint lt. Verlag 1.12.2010
Reihe/Serie Texts in Applied Mathematics ; 50
Zusatzinfo XVI, 328 p.
Verlagsort New York, NY
Sprache englisch
Maße 155 x 235 mm
Themenwelt Mathematik / Informatik Informatik Theorie / Studium
Mathematik / Informatik Mathematik Analysis
Mathematik / Informatik Mathematik Angewandte Mathematik
Naturwissenschaften Physik / Astronomie
ISBN-10 1-4419-1992-9 / 1441919929
ISBN-13 978-1-4419-1992-2 / 9781441919922
Zustand Neuware
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