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ASYMPTOTISCHE ANALYSE FÜR PERIODISCHE STRUKTUREN (AMS CHELSEA von A. Bensoussan NEU-
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eBay-Artikelnr.:204300756442
Artikelmerkmale
- Artikelzustand
- Book Title
- Asymptotic Analysis for Periodic Structures (AMS Chelsea
- Item Height
- 10.5 inches
- ISBN-10
- 0821853244
- Item Length
- 7.5 inches
- Item Width
- 1 inches
- Item Weight
- 1.95 pounds
- ISBN
- 9780821853245
- Publication Year
- 2011
- Series
- Ams Chelsea Publishing Ser.
- Type
- Textbook
- Format
- Hardcover
- Language
- English
- Subject Area
- Mathematics
- Publication Name
- Asymptotic Analysis for Periodic Structures
- Publisher
- American Mathematical Society
- Subject
- Differential Equations / General, Probability & Statistics / General, Differential Equations / Partial
- Number of Pages
- 392 Pages
Über dieses Produkt
Product Identifiers
Publisher
American Mathematical Society
ISBN-10
0821853244
ISBN-13
9780821853245
eBay Product ID (ePID)
111008077
Product Key Features
Number of Pages
392 Pages
Publication Name
Asymptotic Analysis for Periodic Structures
Language
English
Subject
Differential Equations / General, Probability & Statistics / General, Differential Equations / Partial
Publication Year
2011
Type
Textbook
Subject Area
Mathematics
Series
Ams Chelsea Publishing Ser.
Format
Hardcover
Additional Product Features
Intended Audience
Scholarly & Professional
LCCN
2011-029403
Series Volume Number
374
Table Of Content
Preface Introduction Elliptic operators Evolution operators Probabilistic problems and methods High frequency wave propagation in periodic structures Bibliography
Synopsis
This is a reprinting of a book originally published in 1978. At that time it was the first book on the subject of homogenization, which is the asymptotic analysis of partial differential equations with rapidly oscillating coefficients, and as such it sets the stage for what problems to consider and what methods to use, including probabilistic methods. At the time the book was written the use of asymptotic expansions with multiple scales was new, especially their use as a theoretical tool, combined with energy methods and the construction of test functions for analysis with weak convergence methods. Before this book, multiple scale methods were primarily used for non-linear oscillation problems in the applied mathematics community, not for analyzing spatial oscillations as in homogenization. In the current printing a number of minor corrections have been made, and the bibliography was significantly expanded to include some of the most important recent references. This book gives systematic introduction of multiple scale methods for partial differential equations, including their original use for rigorous mathematical analysis in elliptic, parabolic, and hyperbolic problems, and with the use of probabilistic methods when appropriate. The book continues to be interesting and useful to readers of different backgrounds, both from pure and applied mathematics, because of its informal style of introducing the multiple scale methodology and the detailed proofs., Provides a systematic introduction to multiple scale methods for partial differential equations, including their original use for rigorous mathematical analysis in elliptic, parabolic, and hyperbolic problems, and with the use of probabilistic methods when appropriate. It will be useful to both pure and applied mathematicians because of its informal style of introducing the multiple scale methodology and the detailed proofs.
LC Classification Number
QA379.B45 2011
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