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Singular Phenomena and Scaling in Mathematical Models

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....

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor Corporativo: SpringerLink (Online service)
Otros Autores: Griebel, Michael (Editor )
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cham : Springer International Publishing : Imprint: Springer, 2014.
Edición:1st ed. 2014.
Temas:
Acceso en línea:Texto Completo

MARC

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245 1 0 |a Singular Phenomena and Scaling in Mathematical Models  |h [electronic resource] /  |c edited by Michael Griebel. 
250 |a 1st ed. 2014. 
264 1 |a Cham :  |b Springer International Publishing :  |b Imprint: Springer,  |c 2014. 
300 |a VIII, 434 p. 86 illus., 58 illus. in color.  |b online resource. 
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505 0 |a 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. 
520 |a 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. 
650 0 |a Mathematics-Data processing. 
650 1 4 |a Computational Science and Engineering. 
650 2 4 |a Computational Mathematics and Numerical Analysis. 
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