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.
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