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Singular Phenomena and Scaling in Mathematical Models [electronic resource] / edited by Michael Griebel.

By: Griebel, Michael [editor.].
Contributor(s): SpringerLink (Online service).
Material type: materialTypeLabelBookPublisher: Cham : Springer International Publishing : Imprint: Springer, 2014Description: VIII, 434 p. 86 illus., 58 illus. in color. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9783319007861.Subject(s): Mathematics | Computer science -- Mathematics | Computer science | Mathematics | Computational Science and Engineering | Computational Mathematics and Numerical AnalysisDDC classification: 004 Online resources: Click here to access online
Contents:
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.
In: Springer eBooksSummary: 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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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.

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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