Publication Date: 2008
ISBN: 978-0-387-73829-1
Internet Resource: Please Login to download book
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