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＜E-Book＞
Singular Phenomena and Scaling in Mathematical Models / edited by Michael Griebel

Edition	1st ed. 2014.
Publisher	(Cham : Springer International Publishing : Imprint: Springer)
Year	2014
Language	English
Size	VIII, 434 p. 86 illus., 58 illus. in color : online resource
Authors	Griebel, Michael editor SpringerLink (Online service)
Subjects	LCSH:Mathematics -- Data processing  All Subject Search FREE:Computational Science and Engineering FREE:Computational Mathematics and Numerical Analysis
Notes	Preface -- Area A – Scaling Limits of Diffusion Processes and Singular Spaces -- Area B – Multiple Scales in Mathematical Models of Materials Science and Biology -- Area C – Numerics for Multiscale Models and Singular Phenomena 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 HTTP:URL=https://doi.org/10.1007/978-3-319-00786-1

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