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Michael Griebel 
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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Содержание

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.

Об авторе

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.
язык английский ● Формат PDF ● страницы 434 ● ISBN 9783319007861 ● Размер файла 8.1 MB ● редактор Michael Griebel ● издатель Springer International Publishing ● город Cham ● Страна CH ● опубликованный 2013 ● Загружаемые 24 месяцы ● валюта EUR ● Код товара 2854698 ● Защита от копирования Социальный DRM

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