Singular Phenomena and Scaling in Mathematical Models

Buch | Hardcover

VIII, 434 Seiten

2013
Springer International Publishing (Verlag)
978-3-319-00785-4 (ISBN)

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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.

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.

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.

Erscheint lt. Verlag	26.11.2013
Zusatzinfo	VIII, 434 p. 86 illus., 58 illus. in color.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Gewicht	824 g
Themenwelt	Mathematik / Informatik ► Informatik
	Mathematik / Informatik ► Mathematik ► Analysis
	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
Schlagworte	Mathematical Modelling • multiscale methods • Numerics • scaling limits • singular phenomena
ISBN-10	3-319-00785-8 / 3319007858
ISBN-13	978-3-319-00785-4 / 9783319007854
Zustand	Neuware