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Multiscale Methods: Averaging and Homogenization

Pavliotis, Grigorios A. and Stuart, Andrew M. (2008) Multiscale Methods: Averaging and Homogenization. Texts in Applied Mathematics. Vol.53. Springer , New York. ISBN 978-0-387-73829-1.

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This introduction to multiscale methods gives readers a broad overview of the many uses and applications of the methods. The book begins by setting the theoretical foundations of the subject area, and moves on to develop a unified approach to the simplification of a wide range of problems which possess multiple scales, via perturbation expansions; differential equations and stochastic processes are studied in one unified framework. The book concludes with an overview of a range of theoretical tools used to justify the simplified models derived via the perturbation expansions. The presentation of the material is particularly suited to the range of mathematicians, scientists and engineers who want to exploit multiscale methods in applications. Extensive use of examples shows how to apply multiscale methods to solving a variety of problems. Exercises then enable readers to build their own skills and put them into practice. Extensions and generalizations of the results presented in the book, as well as references to the literature, are provided in the Discussion and Bibliography section at the end of each chapter. All of the twenty-one chapters are supplemented with exercises.

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Additional Information:© 2008 Springer. GP has received financial support from the EPSRC, and AMS has received financial support from the EPSRC and from the U.S. Office of Naval Research during the writing of this book. This funded research has helped shape much of the material presented in the book, and the authors are grateful for the financial support.
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Engineering and Physical Sciences Research Council (EPSRC)UNSPECIFIED
Office of Naval Research (ONR)UNSPECIFIED
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Andrew StuartB3
Series Name:Texts in Applied Mathematics
Record Number:CaltechAUTHORS:20161110-162102417
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:71923
Deposited By: Linda Taddeo
Deposited On:16 Nov 2016 00:44
Last Modified:11 Nov 2021 04:53

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