Multiscale methods : averaging and homogenization

• Main Authors: Pavliotis, Grigorios A., Stuart, A. M.
• Format: Book
• Language: English
• Published: Springer 2017
• Subjects: Multiscale methods : averaging and homogenization ; Differential equations ; Differential equations, Partial; 515.35
• Online Access: http://repository.vnu.edu.vn/handle/VNU_123/27670
• Institution: Vietnam National University, Hanoi

"This introduction to multiscale methods gives readers a broad overview of their many uses and applications. 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 solve 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. With the exception of Chapter One, all of the 21 chapters are supplemented with exercises."--Jacket.