Singular Phenomena and Scaling in Mathematical Models

Buch | Softcover

VIII, 434 Seiten

2016 | Softcover reprint of the original 1st ed. 2014
Springer International Publishing (Verlag)
978-3-319-37588-5 (ISBN)

Artikel merken

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.

Erscheinungsdatum	29.08.2016
Zusatzinfo	VIII, 434 p. 86 illus., 58 illus. in color.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Mathematik / Informatik ► Informatik
	Mathematik / Informatik ► Mathematik ► Analysis
	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
Schlagworte	Computational Mathematics and Numerical Analysis • computational science and engineering • Mathematical Modelling • mathematics and statistics • Maths for scientists • multiscale methods • Numerical analysis • Numerics • scaling limits • singular phenomena
ISBN-10	3-319-37588-1 / 3319375881
ISBN-13	978-3-319-37588-5 / 9783319375885
Zustand	Neuware