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Singular Phenomena and Scaling in Mathematical Models

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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.

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Titel: Singular Phenomena and Scaling in Mathematical Models
Autoren/Herausgeber: Michael Griebel (Hrsg.)
Ausgabe: Softcover reprint of the original 1st ed. 2014

ISBN/EAN: 9783319375885

Seitenzahl: 434
Format: 23,5 x 15,5 cm
Produktform: Taschenbuch/Softcover
Gewicht: 676 g
Sprache: Englisch

Michael Griebel is Editor-in-Chief of the journal Numerische Mathematik, and is in the LNCSE Editorial Board. He is also co-editor with Marc Alexander Schweitzer of several LNCSE volumes on Meshfree Methods for Partial Differential Equations, which have been published regularly every two year.

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