Singular Phenomena and Scaling in Mathematical Models
Editors: Griebel, Michael (Ed.)
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- About this book
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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.
- About the authors
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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.
- Table of contents (18 chapters)
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Ricci Bounds for Euclidean and Spherical Cones
Pages 3-23
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A Monotone Approximation to the Wasserstein Diffusion
Pages 25-48
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Adapted Function Spaces for Dispersive Equations
Pages 49-67
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A Note on Metastable Behaviour in the Zero-Range Process
Pages 69-90
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Convergence of the Two-Point Function of the Stationary TASEP
Pages 91-110
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Table of contents (18 chapters)
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Bibliographic Information
- Bibliographic Information
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- Book Title
- Singular Phenomena and Scaling in Mathematical Models
- Editors
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- Michael Griebel
- Copyright
- 2014
- Publisher
- Springer International Publishing
- Copyright Holder
- Springer International Publishing Switzerland
- eBook ISBN
- 978-3-319-00786-1
- DOI
- 10.1007/978-3-319-00786-1
- Hardcover ISBN
- 978-3-319-00785-4
- Softcover ISBN
- 978-3-319-37588-5
- Edition Number
- 1
- Number of Pages
- VIII, 434
- Number of Illustrations
- 28 b/w illustrations, 58 illustrations in colour
- Topics
