Principles of Multiscale Modeling by Weinan E

Principles of Multiscale Modeling by Weinan E

Physical phenomena can be modeled at varying degrees of complexity and at different scales. Multiscale modeling provides a framework, based on fundamental principles, for constructing mathematical and computational models of such phenomena, by examining the connection between models at different scales. This book, by a leading contributor to the field, is the first to provide a unified treatment of the subject, covering, in a systematic way, the general principles of multiscale models, algorithms and analysis. After discussing the basic techniques and introducing the fundamental physical models, the author focuses on the two most typical applications of multiscale modeling: capturing macroscale behavior and resolving local events. The treatment is complemented by chapters that deal with more specific problems. Throughout, the author strikes a balance between precision and accessibility, providing sufficient detail to enable the reader to understand the underlying principles without allowing technicalities to get in the way.

'[This] book can be considered as the standard work in this research field and is a rich source for this topic … It is a valuable book and serves as a useful tool for newcomers and researchers working on these problems … highly recommended' Willi-Hans Steeb, Zentralblatt MATH

Weinan E's research is concerned with developing and exploring the mathematical framework and computational algorithms needed to address problems that arise in the study of various scientific and engineering disciplines, ranging from mechanics to materials science to chemistry. He has held positions at New York University, the Institute for Advanced Study in Princeton, Peking University, and Princeton University, where he currently is Professor in the Department of Mathematics and in the Program in Applied and Computational Mathematics. His research has been recognised by numerous awards, including the 2003 Collatz Prize of ICIAM, and the 2009 Ralph E. Kleinman Prize, from SIAM.

SKU	Unavailable
ISBN 13	9781107096547
ISBN 10	1107096545
Title	Principles of Multiscale Modeling
Author	Weinan E
Condition	Unavailable
Binding Type	Hardback
Publisher	Cambridge University Press
Year published	2011-07-07
Number of pages	488
Cover note	Book picture is for illustrative purposes only, actual binding, cover or edition may vary.