Singular phenomena and scaling in mathematical models

著者

    • Griebel, Michael

書誌事項

Singular phenomena and scaling in mathematical models

Michael Griebel, editor

Springer, c2014

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注記

Includes bibliographical references

内容説明・目次

内容説明

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.

目次

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.

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