Book Details

Multiscale Methods : Averaging and Homogenization

Publication year: 2008

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.


Subject: Mathematics and Statistics, Averaging, Computer-Aided Design (CAD), Homogenization, Markov, Methods, Multiscale, Pavliotis, Probability theory, Stuart, calculus, differential equation, partial differential equation, partial differential equations