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Texts in Applied Mathematics

Multiscale Methods

Averaging and Homogenization

Authors: Pavliotis, G A, Stuart, A.

  • Hot area in applied mathematics
  • Authors are leading world experts on multiscale methods
  • Nice overview of theory and application with example and exercises included
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eBook $44.99
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  • ISBN 978-0-387-73829-1
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  • Immediate eBook download after purchase
Hardcover $59.99
price for USA
  • ISBN 978-0-387-73828-4
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  • Usually dispatched within 3 to 5 business days.
Softcover $59.99
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  • ISBN 978-1-4419-2532-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this Textbook

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.

Grigorios Pavliotis is a Lecturer of Mathematics at Imperial College London.

Andrew Stuart is a Professor of Mathematics at Warwick University.

 

 

 

Reviews

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)


Table of contents (21 chapters)

  • Introduction

    Pavliotis, Grigorios A. (et al.)

    Pages 1-10

  • Analysis

    Pavliotis, Grigorios A. (et al.)

    Pages 13-35

  • Probability Theory and Stochastic Processes

    Pavliotis, Grigorios A. (et al.)

    Pages 37-57

  • Ordinary Differential Equations

    Pavliotis, Grigorios A. (et al.)

    Pages 59-72

  • Markov Chains

    Pavliotis, Grigorios A. (et al.)

    Pages 73-84

Buy this book

eBook $44.99
price for USA (gross)
  • ISBN 978-0-387-73829-1
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $59.99
price for USA
  • ISBN 978-0-387-73828-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $59.99
price for USA
  • ISBN 978-1-4419-2532-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Multiscale Methods
Book Subtitle
Averaging and Homogenization
Authors
Series Title
Texts in Applied Mathematics
Series Volume
53
Copyright
2008
Publisher
Springer-Verlag New York
Copyright Holder
Springer-Verlag New York
eBook ISBN
978-0-387-73829-1
DOI
10.1007/978-0-387-73829-1
Hardcover ISBN
978-0-387-73828-4
Softcover ISBN
978-1-4419-2532-9
Series ISSN
0939-2475
Edition Number
1
Number of Pages
XVIII, 310
Topics