Click Here to Download: https://ouo.io/lfq3hVL Singular Phenomena and Scaling in Mathematical Models By: Michael Griebel Publisher: Springer Print ISBN: 9783319007854, 3319007858 eText ISBN: 9783319007861, 3319007866 Copyright year: 2014 Format: EPUB Available from $ 129.00 USD SKU 9783319007861 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.
