Singular Phenomena and Scaling in Mathematical Models
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Word Count
108,500 words, Guess
Page Count
434 pages
Identifiers
- Open LibraryOL26188361M
- ISBN-139783319007854
- OCLC Control Number841520748
- Library of Congress Control Number2013948877
Classifications
- LCCQA71-90QA71-90
Description
The book integrates theoretical analysis, numerical simulation and modeling approaches for the treatment of singular phenomena. The projects covered focus on actual applied problems, and develop qualitatively new and mathematically challenging methods for various problems from the natural sciences. Ranging from stochastic and geometric analysis over nonlinear analysis and modelling to numerical analysis and scientific computation, the book is divided into the three sections: A) Scaling limits of diffusion processes and singular spaces, B) Multiple scales in mathematical models of materials science and biology and C) Numerics for multiscale models and singular phenomena. Each section addresses the key aspects of multiple scales and model hierarchies, singularities and degeneracies, and scaling laws and self-similarity.
Subjects
Other Editions
- Singular Phenomena and Scaling in Mathematical Models
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