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Singular Phenomena and Scaling in Mathematical Models by Michael Griebel
  

Singular Phenomena and Scaling in Mathematical Models

Synopsis

Singular Phenomena and Scaling in Mathematical Models by Michael Griebel

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.

About the Author

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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Book Info

Publication date

23rd August 2016

Author

Michael Griebel

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    recommendations

Publisher

Springer International Publishing AG

Format

Paperback
434 pages

Categories

Maths for scientists
Numerical analysis

ISBN

9783319375885

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