Multiscale Methods
Averaging and Homogenization
Published on 19. November 2010
Book
Paperback/Softback
XVIII, 310 pages
978-1-4419-2532-9 (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
1st ed. Softcover of orig. ed. 2008
Language
English
Place of publication
New York
United States
Target group
Professional and scholarly
Research
Illustrations
XVIII, 310 p.
Dimensions
Height: 235 mm
Width: 155 mm
Thickness: 18 mm
Weight
499 gr
ISBN-13
978-1-4419-2532-9 (9781441925329)
DOI
10.1007/978-0-387-73829-1
Schweitzer Classification
Other editions
Additional editions
Book
02/2008
Springer
€90.94
Shipment within 5-7 days
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.