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Nonlinear Dynamical Systems and Chaos
Symmetries in dynamical systems, "KAM theory and other perturbation theories", "Infinite dimensional systems", "Time series analysis" and "Numerical continuation and bifurcation analysis" were the main topics of the December 1995 Dynamical Systems Conference held in Groningen in honour of Johann Bernoulli. They now form the core of this work which seeks to present the state of the art in various branches of the theory of dynamical systems. A number of articles have a survey character whereas others deal with recent results in current research. It contains interesting material for all members of the dynamical systems community, ranging from geometric and analytic aspects from a mathematical point of view to applications in various sciences.
The Symmetry Perspective
The framework of ‘symmetry’ provides an important route between the abstract theory and experimental observations. The book applies symmetry methods to dynamical systems, focusing on bifurcation and chaos theory. Its exposition is organized around a wide variety of relevant applications. From the reviews: "[The] rich collection of examples makes the book...extremely useful for motivation and for spreading the ideas to a large Community."--MATHEMATICAL REVIEWS
Newton Methods for Nonlinear Problems
This book deals with the efficient numerical solution of challenging nonlinear problems in science and engineering, both in finite dimension (algebraic systems) and in infinite dimension (ordinary and partial differential equations). Its focus is on local and global Newton methods for direct problems or Gauss-Newton methods for inverse problems. The term 'affine invariance' means that the presented algorithms and their convergence analysis are invariant under one out of four subclasses of affine transformations of the problem to be solved. Compared to traditional textbooks, the distinguishing affine invariance approach leads to shorter theorems and proofs and permits the construction of fully adaptive algorithms. Lots of numerical illustrations, comparison tables, and exercises make the text useful in computational mathematics classes. At the same time, the book opens many directions for possible future research.
Adaptive Numerical Solution of PDEs
This book deals with the general topic “Numerical solution of partial differential equations (PDEs)” with a focus on adaptivity of discretizations in space and time. By and large, introductory textbooks like “Numerical Analysis in Modern Scientific Computing” by Deuflhard and Hohmann should suffice as a prerequisite. The emphasis lies on elliptic and parabolic systems. Hyperbolic conservation laws are treated only on an elementary level excluding turbulence. Numerical Analysis is clearly understood as part of Scientific Computing. The focus is on the efficiency of algorithms, i.e. speed, reliability, and robustness, which directly leads to the concept of adaptivity in algorithms. The...
From Nano to Space
This book shows how modern Applied Mathematics influences everyday life. It features contributors from universities, research institutions and industry, who combine research and review papers to present a survey of current research. More than 20 contributions are divided into scales: nano, micro, macro, space and real life. In addition, coverage includes engaging and informative case studies as well as complex graphics and illustrations, many of them in color.
Internationalization, Design and Global Development
This volume constitutes the refereed proceedings of the 4th International Conference on Internationalization, Design and Global Development, IDGD 2011, held in Orlando, FL, USA, in July 2011 in the framework of the 14th International Conference on Human-Computer Interaction, HCII 2011. The 71 revised papers presented were carefully reviewed and selected from numerous submissions. The papers accepted for presentation thoroughly cover the entire field of internationalization, design and global development and address the following major topics: Cultural and cross-cultural design, culture and usability, design, emotion, trust and aesthetics, cultural issues in business and industry, culture, communication and society.
Biomechanics and Medicine in Swimming IX
The IXth International World Symposium on Biomechanics and Medicine in Swimming was held in Saint-Etienne in France from June 21 - 23 2002, under the auspices of the World Commission of Sport Biomechanics and the Steering Group of Biomechanics and Medicine in Swimming. The main conference organisers were the Laboratoire de Physiologie of the Medical Faculty and Service d'Exploration Fonctionnelle Cardio-Respiratoire et Médecine du Sport of Saint-Etienne Hospital. The conference was a joint effort with several other organisations as well. The Department of Physical Education of the University of Saint-Etienne, the City of Saint-Etienne, the Conseil Général de la Loire, the Conseil régional Rhône-Alpes, the Association des Chercheurs en Activités Physiques et Sportives, the French Swimming Federation, the INSERM, the Ministry of Foreign Affairs, the Société de la Loire de Médecine du Sport and the société française de Médecine du Sport were the main public sponsors of the Symposium.
