Multiscale Analysis And Nonlinear Dynamics

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Multiscale Analysis and Nonlinear Dynamics

Author : Misha Meyer Pesenson
Publisher : John Wiley & Sons
ISBN 13 : 352767165X
Total Pages : 307 pages
Book Rating : 4.5/5 (276 download)

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Book Synopsis Multiscale Analysis and Nonlinear Dynamics by : Misha Meyer Pesenson

Download or read book Multiscale Analysis and Nonlinear Dynamics written by Misha Meyer Pesenson and published by John Wiley & Sons. This book was released on 2013-09-13 with total page 307 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since modeling multiscale phenomena in systems biology and neuroscience is a highly interdisciplinary task, the editor of the book invited experts in bio-engineering, chemistry, cardiology, neuroscience, computer science, and applied mathematics, to provide their perspectives. Each chapter is a window into the current state of the art in the areas of research discussed and the book is intended for advanced researchers interested in recent developments in these fields. While multiscale analysis is the major integrating theme of the book, its subtitle does not call for bridging the scales from genes to behavior, but rather stresses the unifying perspective offered by the concepts referred to in the title. It is believed that the interdisciplinary approach adopted here will be beneficial for all the above mentioned fields.

Information Theory and Stochastics for Multiscale Nonlinear Systems

Author : Andrew Majda
Publisher : American Mathematical Soc.
ISBN 13 : 9780821869864
Total Pages : 152 pages
Book Rating : 4.8/5 (698 download)

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Book Synopsis Information Theory and Stochastics for Multiscale Nonlinear Systems by : Andrew Majda

Download or read book Information Theory and Stochastics for Multiscale Nonlinear Systems written by Andrew Majda and published by American Mathematical Soc.. This book was released on with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Analysis, Modeling and Simulation of Multiscale Problems

Author : Alexander Mielke
Publisher : Springer Science & Business Media
ISBN 13 : 3540356576
Total Pages : 704 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Analysis, Modeling and Simulation of Multiscale Problems by : Alexander Mielke

Download or read book Analysis, Modeling and Simulation of Multiscale Problems written by Alexander Mielke and published by Springer Science & Business Media. This book was released on 2006-10-14 with total page 704 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book reports recent mathematical developments in the Programme "Analysis, Modeling and Simulation of Multiscale Problems", which started as a German research initiative in 2006. Multiscale problems occur in many fields of science, such as microstructures in materials, sharp-interface models, many-particle systems and motions on different spatial and temporal scales in quantum mechanics or in molecular dynamics. The book presents current mathematical foundations of modeling, and proposes efficient numerical treatment.

Information Theory and Stochastics for Multiscale Nonlinear Systems

Author : Andrew Majda
Publisher : American Mathematical Soc.
ISBN 13 : 0821838431
Total Pages : 145 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Information Theory and Stochastics for Multiscale Nonlinear Systems by : Andrew Majda

Download or read book Information Theory and Stochastics for Multiscale Nonlinear Systems written by Andrew Majda and published by American Mathematical Soc.. This book was released on 2005 with total page 145 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Medical Diagnostic Techniques and Procedures

Author : M. R. S. Reddy
Publisher : Alpha Science Int'l Ltd.
ISBN 13 : 9788173193507
Total Pages : 524 pages
Book Rating : 4.1/5 (935 download)

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Book Synopsis Medical Diagnostic Techniques and Procedures by : M. R. S. Reddy

Download or read book Medical Diagnostic Techniques and Procedures written by M. R. S. Reddy and published by Alpha Science Int'l Ltd.. This book was released on 2000-01-30 with total page 524 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on important and evolving aspects of medical diagnostic techniques and procedures such as bioelectric phenomenon, medical imaging, biomedical signal processing, biomechanical techniques, microcirculatory techniques, optical techniques and modelling, and biomedical instrumentation covering sophisticated to low cost ideally suited for mass screening in rural areas.

Multiscale Multibody Dynamics

Author : Jielong Wang
Publisher : Springer Nature
ISBN 13 : 9811984417
Total Pages : 367 pages
Book Rating : 4.8/5 (119 download)

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Book Synopsis Multiscale Multibody Dynamics by : Jielong Wang

Download or read book Multiscale Multibody Dynamics written by Jielong Wang and published by Springer Nature. This book was released on 2023-03-24 with total page 367 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a novel theory of multibody dynamics with distinct features, including unified continuum theory, multiscale modeling technology of multibody system, and motion formalism implementation. All these features together with the introductions of fundamental concepts of vector, dual vector, tensor, dual tensor, recursive descriptions of joints, and the higher-order implicit solvers formulate the scope of the book’s content. In this book, a multibody system is defined as a set consisted of flexible and rigid bodies which are connected by any kinds of joints or constraints to achieve the desired motion. Generally, the motion of multibody system includes the translation and rotation; it is more efficient to describe the motion by using the dual vector or dual tensor directly instead of defining two types of variables, the translation and rotation separately. Furthermore, this book addresses the detail of motion formalism and its finite element implementation of the solid, shell-like, and beam-like structures. It also introduces the fundamental concepts of mechanics, such as the definition of vector, dual vector, tensor, and dual tensor, briefly. Without following the Einstein summation convention, the first- and second-order tensor operations in this book are depicted by linear algebraic operation symbols of row array, column array, and two-dimensional matrix, making these operations easier to understand. In addition, for the integral of governing equations of motion, a set of ordinary differential equations for the finite element-based discrete system, the book discussed the implementation of implicit solvers in detail and introduced the well-developed RADAU IIA algorithms based on post-error estimation to make the contents of the book complete. The intended readers of this book are senior engineers and graduate students in related engineering fields.

Multiscale Analysis of Deformation and Failure of Materials

Author : Jinghong Fan
Publisher : John Wiley & Sons
ISBN 13 : 111995648X
Total Pages : 510 pages
Book Rating : 4.1/5 (199 download)

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Book Synopsis Multiscale Analysis of Deformation and Failure of Materials by : Jinghong Fan

Download or read book Multiscale Analysis of Deformation and Failure of Materials written by Jinghong Fan and published by John Wiley & Sons. This book was released on 2011-06-28 with total page 510 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presenting cutting-edge research and development within multiscale modeling techniques and frameworks, Multiscale Analysis of Deformation and Failure of Materials systematically describes the background, principles and methods within this exciting new & interdisciplinary field. The author’s approach emphasizes the principles and methods of atomistic simulation and its transition to the nano and sub-micron scale of a continuum, which is technically important for nanotechnology and biotechnology. He also pays close attention to multiscale analysis across the micro/meso/macroscopy of a continuum, which has a broad scope of applications encompassing different disciplines and practices, and is an essential extension of mesomechanics. Of equal interest to engineers, scientists, academics and students, Multiscale Analysis of Deformation and Failure of Materials is a multidisciplinary text relevant to those working in the areas of materials science, solid and computational mechanics, bioengineering and biomaterials, and aerospace, automotive, civil, and environmental engineering. Provides a deep understanding of multiscale analysis and its implementation Shows in detail how multiscale models can be developed from practical problems and how to use the multiscale methods and software to carry out simulations Discusses two interlinked categories of multiscale analysis; analysis spanning from the atomistic to the micro-continuum scales, and analysis across the micro/meso/macro scale of continuum.

Dynamics of Nonlinear Systems

Author : Vladimir Hlavacek
Publisher : CRC Press
ISBN 13 : 9782881241116
Total Pages : 328 pages
Book Rating : 4.2/5 (411 download)

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Book Synopsis Dynamics of Nonlinear Systems by : Vladimir Hlavacek

Download or read book Dynamics of Nonlinear Systems written by Vladimir Hlavacek and published by CRC Press. This book was released on 1986 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Nonlinear Structures & Systems, Volume 1

Author : Gaetan Kerschen
Publisher : Springer Nature
ISBN 13 : 3030771350
Total Pages : 215 pages
Book Rating : 4.0/5 (37 download)

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Book Synopsis Nonlinear Structures & Systems, Volume 1 by : Gaetan Kerschen

Download or read book Nonlinear Structures & Systems, Volume 1 written by Gaetan Kerschen and published by Springer Nature. This book was released on 2021-11-16 with total page 215 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Qualitative and Quantitative Analysis of Nonlinear Systems

Author : Michael Z. Zgurovsky
Publisher : Springer
ISBN 13 : 3319598406
Total Pages : 240 pages
Book Rating : 4.3/5 (195 download)

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Book Synopsis Qualitative and Quantitative Analysis of Nonlinear Systems by : Michael Z. Zgurovsky

Download or read book Qualitative and Quantitative Analysis of Nonlinear Systems written by Michael Z. Zgurovsky and published by Springer. This book was released on 2017-07-11 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: Here, the authors present modern methods of analysis for nonlinear systems which may occur in fields such as physics, chemistry, biology, or economics. They concentrate on the following topics, specific for such systems: (a) constructive existence results and regularity theorems for all weak solutions; (b) convergence results for solutions and their approximations; (c) uniform global behavior of solutions in time; and (d) pointwise behavior of solutions for autonomous problems with possible gaps by the phase variables. The general methodology for the investigation of dissipative dynamical systems with several applications including nonlinear parabolic equations of divergent form, nonlinear stochastic equations of parabolic type, unilateral problems, nonlinear PDEs on Riemannian manifolds with or without boundary, contact problems as well as particular examples is established. As such, the book is addressed to a wide circle of mathematical, mechanical and engineering readers.

Global Analysis of Nonlinear Dynamics

Author : Jian-Qiao Sun
Publisher : Springer Science & Business Media
ISBN 13 : 146143128X
Total Pages : 297 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Global Analysis of Nonlinear Dynamics by : Jian-Qiao Sun

Download or read book Global Analysis of Nonlinear Dynamics written by Jian-Qiao Sun and published by Springer Science & Business Media. This book was released on 2012-05-01 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt: Global Analysis of Nonlinear Dynamics collects chapters on recent developments in global analysis of non-linear dynamical systems with a particular emphasis on cell mapping methods developed by Professor C.S. Hsu of the University of California, Berkeley. This collection of contributions prepared by a diverse group of internationally recognized researchers is intended to stimulate interests in global analysis of complex and high-dimensional nonlinear dynamical systems, whose global properties are largely unexplored at this time.

Nonlinear Dynamics, Volume 1

Author : Gaetan Kerschen
Publisher : Springer
ISBN 13 : 3319297392
Total Pages : 423 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis Nonlinear Dynamics, Volume 1 by : Gaetan Kerschen

Download or read book Nonlinear Dynamics, Volume 1 written by Gaetan Kerschen and published by Springer. This book was released on 2016-04-22 with total page 423 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear Dynamics, Volume 1. Proceedings of the 34th IMAC, A Conference and Exposition on Dynamics of Multiphysical Systems: From Active Materials to Vibroacoustics, 2016, the fi rst volume of ten from the Conference, brings together contributions to this important area of research and engineering. Th e collection presents early fi ndings and case studies on fundamental and applied aspects of Structural Dynamics, including papers on: • Nonlinear Oscillations • Nonlinear Modal Analysis • Nonlinear System Identifi cation • Nonlinear Modeling & Simulation • Nonlinearity in Practice • Nonlinearity in Multi-Physics Systems • Nonlinear Modes and Modal Interactions

Multiscale Analysis of Complex Time Series

Author : Jianbo Gao
Publisher : John Wiley & Sons
ISBN 13 : 0470191643
Total Pages : 368 pages
Book Rating : 4.4/5 (71 download)

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Book Synopsis Multiscale Analysis of Complex Time Series by : Jianbo Gao

Download or read book Multiscale Analysis of Complex Time Series written by Jianbo Gao and published by John Wiley & Sons. This book was released on 2007-12-04 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: The only integrative approach to chaos and random fractal theory Chaos and random fractal theory are two of the most important theories developed for data analysis. Until now, there has been no single book that encompasses all of the basic concepts necessary for researchers to fully understand the ever-expanding literature and apply novel methods to effectively solve their signal processing problems. Multiscale Analysis of Complex Time Series fills this pressing need by presenting chaos and random fractal theory in a unified manner. Adopting a data-driven approach, the book covers: DNA sequence analysis EEG analysis Heart rate variability analysis Neural information processing Network traffic modeling Economic time series analysis And more Additionally, the book illustrates almost every concept presented through applications and a dedicated Web site is available with source codes written in various languages, including Java, Fortran, C, and MATLAB, together with some simulated and experimental data. The only modern treatment of signal processing with chaos and random fractals unified, this is an essential book for researchers and graduate students in electrical engineering, computer science, bioengineering, and many other fields.

Simulating Normal and Arrhythmic Dynamics: From Sub-Cellular to Tissue and Organ Level

Author : Hans Dierckx
Publisher : Frontiers Media SA
ISBN 13 : 2889630676
Total Pages : 276 pages
Book Rating : 4.8/5 (896 download)

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Book Synopsis Simulating Normal and Arrhythmic Dynamics: From Sub-Cellular to Tissue and Organ Level by : Hans Dierckx

Download or read book Simulating Normal and Arrhythmic Dynamics: From Sub-Cellular to Tissue and Organ Level written by Hans Dierckx and published by Frontiers Media SA. This book was released on 2019-10-04 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Recent Advances in Mathematics and Technology

Author : Serge Dos Santos
Publisher : Springer Nature
ISBN 13 : 3030352021
Total Pages : 190 pages
Book Rating : 4.0/5 (33 download)

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Book Synopsis Recent Advances in Mathematics and Technology by : Serge Dos Santos

Download or read book Recent Advances in Mathematics and Technology written by Serge Dos Santos and published by Springer Nature. This book was released on 2020-02-21 with total page 190 pages. Available in PDF, EPUB and Kindle. Book excerpt: The chapters in this volume are based on talks given at the inaugural Technology, Engineering and Mathematics Conference (TEM18), held from March 26 to 27, 2018 in Kenitra, Morocco. Advances in mathematical modeling, optimization, numerical analysis, signal processing, and computer science are presented by leading experts in these fields. There is a particular emphasis on stochastic analysis, machine learning algorithms, and deep learning models, which are highly relevant to the state-of-the-art in augmented, virtual, and mixed realities. Topics include: Harmonic analysis Big data analytics and applications Biomathematics Computer engineering and applications Economics and financial engineering Medical imaging and non-destructive testing This volume is ideal for engineers and researchers working in technological fields that need to be modeled and simulated using the tools of modern mathematics.

Nonequilibrium Statistical Physics of Small Systems

Author : Rainer Klages
Publisher : John Wiley & Sons
ISBN 13 : 3527658726
Total Pages : 402 pages
Book Rating : 4.5/5 (276 download)

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Book Synopsis Nonequilibrium Statistical Physics of Small Systems by : Rainer Klages

Download or read book Nonequilibrium Statistical Physics of Small Systems written by Rainer Klages and published by John Wiley & Sons. This book was released on 2013-03-15 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a comprehensive picture of nonequilibrium phenomena in nanoscale systems. Written by internationally recognized experts in the field, this book strikes a balance between theory and experiment, and includes in-depth introductions to nonequilibrium fluctuation relations, nonlinear dynamics and transport, single molecule experiments, and molecular diffusion in nanopores. The authors explore the application of these concepts to nano- and biosystems by cross-linking key methods and ideas from nonequilibrium statistical physics, thermodynamics, stochastic theory, and dynamical systems. By providing an up-to-date survey of small systems physics, the text serves as both a valuable reference for experienced researchers and as an ideal starting point for graduate-level students entering this newly emerging research field.

Multiscale Modelling and Simulation

Author : Sabine Attinger
Publisher : Springer Science & Business Media
ISBN 13 : 9783540211808
Total Pages : 304 pages
Book Rating : 4.2/5 (118 download)

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Book Synopsis Multiscale Modelling and Simulation by : Sabine Attinger

Download or read book Multiscale Modelling and Simulation written by Sabine Attinger and published by Springer Science & Business Media. This book was released on 2004-07-12 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.