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Wavelets, Multiscale Systems and Hypercomplex Analysis

Author : Daniel Alpay
Publisher : Springer Science & Business Media
Page : 197 pages
File Size : 43,30 MB
Release : 2006-08-06
Category : Mathematics
ISBN : 3764375884

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This volume contains a selection of papers on the topics of Clifford analysis and wavelets and multiscale analysis, the latter being understood in a very wide sense. The theory of wavelets is mathematically rich and has many practical applications. Most of the articles have been written on invitation and they provide a unique collection of material, particularly relating to Clifford analysis and the theory of wavelets.

Control and Optimization of Multiscale Process Systems

Author : Panagiotis D. Christofides
Publisher : Springer Science & Business Media
Page : 247 pages
File Size : 16,39 MB
Release : 2008-10-28
Category : Science
ISBN : 0817647937

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This book—the first of its kind—presents general methods for feedback controller synthesis and optimization of multiscale systems, illustrating their application to thin-film growth, sputtering processes, and catalytic systems of industrial interest. The authors demonstrate the advantages of the methods presented for control and optimization through extensive simulations. Included in the work are new techniques for feedback controller design and optimization of multiscale process systems that are not included in other books. The book also contains a rich collection of new research topics and references to significant recent work.

Complex Engineered Systems

Author : Dan Braha
Publisher : Springer
Page : 396 pages
File Size : 11,61 MB
Release : 2007-06-24
Category : Science
ISBN : 3540328343

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This book sheds light on the large-scale engineering systems that shape and guide our everyday lives. It does this by bringing together the latest research and practice defining the emerging field of Complex Engineered Systems. Understanding, designing, building and controlling such complex systems is going to be a central challenge for engineers in the coming decades. This book is a step toward addressing that challenge.

Information Theory and Stochastics for Multiscale Nonlinear Systems

Author : Andrew Majda
Publisher : American Mathematical Soc.
Page : 145 pages
File Size : 25,73 MB
Release : 2005
Category : Mathematics
ISBN : 0821838431

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This book introduces mathematicians to the fascinating mathematical interplay between ideas from stochastics and information theory and practical issues in studying complex multiscale nonlinear systems. It emphasizes the serendipity between modern applied mathematics and applications where rigorous analysis, the development of qualitative and/or asymptotic models, and numerical modeling all interact to explain complex phenomena. After a brief introduction to the emerging issues in multiscale modeling, the book has three main chapters. The first chapter is an introduction to information theory with novel applications to statistical mechanics, predictability, and Jupiter's Red Spot for geophysical flows. The second chapter discusses new mathematical issues regarding fluctuation-dissipation theorems for complex nonlinear systems including information flow, various approximations, and illustrates applications to various mathematical models. The third chapter discusses stochastic modeling of complex nonlinear systems. After a general discussion, a new elementary model, motivated by issues in climate dynamics, is utilized to develop a self-contained example of stochastic mode reduction. Based on A. Majda's Aisenstadt lectures at the University of Montreal, the book is appropriate for both pure and applied mathematics graduate students, postdocs and faculty, as well as interested researchers in other scientific disciplines. No background in geophysical flows is required. About the authors: Andrew Majda is a member of the National Academy of Sciences and has received numerous honors and awards, including the National Academy of Science Prize in Applied Mathematics, the John von Neumann Prize of the Society of Industrial and Applied Mathematics, the Gibbs Prize of the American Mathematical Society, and the Medal of the College de France. In the past several years at the Courant Institute, Majda and a multi-disciplinary faculty have created the Center for Atmosphere Ocean Science to promote cross-disciplinary research with modern applied mathematics in climate modeling and prediction. R.V. Abramov is a young researcher; he received his PhD in 2002. M. J. Grote received his Ph.D. under Joseph B. Keller at Stanford University in 1995.

Principles of Multiscale Modeling

Author : Weinan E
Publisher : Cambridge University Press
Page : 485 pages
File Size : 30,58 MB
Release : 2011-07-07
Category : Mathematics
ISBN : 1107096545

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A systematic discussion of the fundamental principles, written by a leading contributor to the field.

Multi-scale Phenomena in Complex Fluids

Author : Thomas Y. Hou
Publisher : World Scientific
Page : 379 pages
File Size : 45,24 MB
Release : 2009
Category : Science
ISBN : 9814273252

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Multi-Scale Phenomena in Complex Fluids is a collection of lecture notes delivered during the ªrst two series of mini-courses from "Shanghai Summer School on Analysis and Numerics in Modern Sciences," which was held in 2004 and 2006 at Fudan University, Shanghai, China. This review volume of 5 chapters, covering various fields in complex fluids, places emphasis on multi-scale modeling, analyses and simulations. It will be of special interest to researchers and graduate students who want to work in the field of complex fluids.

Multiscale Modelling and Simulation

Author : Sabine Attinger
Publisher : Springer Science & Business Media
Page : 304 pages
File Size : 11,83 MB
Release : 2004-07-12
Category : Mathematics
ISBN : 9783540211808

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In August 2003, ETHZ Computational Laboratory (CoLab), together with the Swiss Center for Scientific Computing in Manno and the Università della Svizzera Italiana (USI), organized the Summer School in "Multiscale Modelling and Simulation" in Lugano, Switzerland. This summer school brought together experts in different disciplines to exchange ideas on how to link methodologies on different scales. Relevant examples of practical interest include: structural analysis of materials, flow through porous media, turbulent transport in high Reynolds number flows, large-scale molecular dynamic simulations, ab-initio physics and chemistry, and a multitude of others. Though multiple scale models are not new, the topic has recently taken on a new sense of urgency. A number of hybrid approaches are now created in which ideas coming from distinct disciplines or modelling approaches are unified to produce new and computationally efficient techniques.

Information Theory and Stochastics for Multiscale Nonlinear Systems

Author : Andrew Majda
Publisher :
Page : 133 pages
File Size : 42,19 MB
Release : 2005
Category : Information theory in mathematics
ISBN : 9781470438692

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This book introduces mathematicians to the fascinating emerging mathematical interplay between ideas from stochastics and information theory and important practical issues in studying complex multiscale nonlinear systems. It emphasizes the serendipity between modern applied mathematics and applications where rigorous analysis, the development of qualitative and/or asymptotic models, and numerical modeling all interact to explain complex phenomena. After a brief introduction to the emerging issues in multiscale modeling, the book has three main chapters. The first chapter is an introduction to.

Complex Systems and Self-organization Modelling

Author : Cyrille Bertelle
Publisher : Springer Science & Business Media
Page : 233 pages
File Size : 29,49 MB
Release : 2008-12-03
Category : Technology & Engineering
ISBN : 3540880739

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This book, the outcome of a workshop meeting within ESM 2006, explores the use of emergent computing and self-organization modeling within various applications of complex systems.