
Multiscale Methods
Averaging and Homogenization
Springer (Publisher)
Published on 19. February 2008
Book
Hardback
XVIII, 310 pages
978-0-387-73828-4 (ISBN)
Description
Mathematics is playing an ever more important role in the physical and biological sciences, provoking a blurring of boundaries between scienti?c disciplines and a resurgence of interest in the modern as well as the classical techniques of applied mathematics. This renewal of interest, both in research and teaching, has led to the establishment of the series Texts in Applied Mathematics (TAM). The development of new courses is a natural consequence of a high level of excitement on the research frontier as newer techniques, such as numerical and s- bolic computer systems, dynamical systems, and chaos, mix with and reinforce the traditional methods of applied mathematics. Thus, the purpose of this textbook - ries is to meet the current and future needs of these advances and to encourage the teaching of new couses. TAM will publish textbooks suitable for use in advanced undergraduate and - ginning graduate courses, and will complement the Applied Mathematical Sciences (AMS) series, which will focus on advanced textbooks and research-level mo- graphs. Pasadena, California J.E. Marsden New York, New York L. Sirovich College Park, Maryland S.S. Antman To my parentsA????? and?o?????? and to my brother?????o. Carry Home.????o???. For my children Natalie, Sebastian, and Isobel.
Reviews / Votes
From the reviews:
"The book is devoted to introduce problems in which different scales may appear. The value of the book is that a wide class of problems is presented and consequently different techniques used to attack these problems are shown. The book is divided in three different parts. . it can be used as a handbook for the arguements treated in the sequel." (Fabio Paronetto, Zentralblatt MATH, Vol. 1160, 2009)
More details
Series
Edition
2008 ed.
Language
English
Place of publication
New York
United States
Target group
Professional and scholarly
Illustrations
XVIII, 310 p.
Dimensions
Height: 241 mm
Width: 160 mm
Thickness: 23 mm
Weight
658 gr
ISBN-13
978-0-387-73828-4 (9780387738284)
DOI
10.1007/978-0-387-73829-1
Schweitzer Classification
Other editions
Additional editions

Book
11/2010
Springer
€90.94
Shipment within 15-20 days

E-Book
01/2008
Springer
€90.94
Available for download
Content
Background.- Analysis.- Probability Theory and Stochastic Processes.- Ordinary Differential Equations.- Markov Chains.- Stochastic Differential Equations.- Partial Differential Equations.- Perturbation Expansions.- Invariant Manifolds for ODEs.- Averaging for Markov Chains.- Averaging for ODEs and SDEs.- Homogenization for ODEs and SDEs.- Homogenization for Elliptic PDEs.- Homogenization for Parabolic PDEs.- Averaging for Linear Transport and Parabolic PDEs.- Theory.- Invariant Manifolds for ODEs: The Convergence Theorem.- Averaging for Markov Chains: The Convergence Theorem.- Averaging for SDEs: The Convergence Theorem.- Homogenization for SDEs: The Convergence Theorem.- Homogenization for Elliptic PDEs: The Convergence Theorem.- Homogenization for Elliptic PDEs: The Convergence Theorem.- Averaging for Linear Transport and Parabolic PDEs: The Convergence Theorem.