Singular Phenomena and Scaling in Mathematical Models

2014
ISBN: 978-3-319-00785-4
Verlag: Springer International Publishing

Buch, Englisch, 434 Seiten, HC runder Rücken kaschiert, Format (B × H): 160 mm x 241 mm, Gewicht: 7863 g

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.

Zielgruppe

Research

Autoren/Hrsg.

Griebel, Michael

Fachgebiete

• Technische Wissenschaften Technik Allgemein Mathematik für Ingenieure
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle

Inhaltsverzeichnis

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.

Über Autor(innen)

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.