Name: Asymptotic Analysis for Periodic Structures (en Inglés)
SKU: 67483013
Price: 104.96 USD
Availability: InStock
Author: A. Bensoussan;J.-L. Lions;G. Papanicolaou
ISBN: 9780821853245

portada Asymptotic Analysis for Periodic Structures (en Inglés)

Asymptotic Analysis for Periodic Structures (en Inglés)

Formato

Libro Físico

Editorial

American Mathematical Society

Autor

A. Bensoussan;J.-L. Lions;G. Papanicolaou

Colección

Chelsea Publications

Año

2011

Idioma

Inglés

N° páginas

392

Encuadernación

Tapa Dura

ISBN13

9780821853245

Asymptotic Analysis for Periodic Structures (en Inglés)

A. Bensoussan;J.-L. Lions;G. Papanicolaou (Autor) · American Mathematical Society · Tapa Dura

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Reseña del libro "Asymptotic Analysis for Periodic Structures (en Inglés)"

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.

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.