Multiscale Analysis And Nonlinear Dynamics

Author : Misha Meyer Pesenson
Publisher : John Wiley & Sons
ISBN 13 : 352767165X
Total Pages : 307 pages
Book Rating : 4.56/5 ( download)

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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.

Author : Andrew Majda
Publisher : American Mathematical Soc.
ISBN 13 : 9780821869864
Total Pages : 152 pages
Book Rating : 4.68/5 ( download)

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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.

Author : Andrew Majda
Publisher : American Mathematical Soc.
ISBN 13 : 0821838431
Total Pages : 145 pages
Book Rating : 4.33/5 ( download)

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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.

Author : Alexander Mielke
Publisher : Springer Science & Business Media
ISBN 13 : 3540356576
Total Pages : 704 pages
Book Rating : 4.78/5 ( download)

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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.

Author : M. R. S. Reddy
Publisher : Alpha Science Int'l Ltd.
ISBN 13 : 9788173193507
Total Pages : 524 pages
Book Rating : 4.09/5 ( download)

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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.

Author : Jielong Wang
Publisher : Springer Nature
ISBN 13 : 9811984417
Total Pages : 367 pages
Book Rating : 4.19/5 ( download)

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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.

Author : Jian-Qiao Sun
Publisher : Springer Science & Business Media
ISBN 13 : 146143128X
Total Pages : 297 pages
Book Rating : 4.82/5 ( download)

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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.

Author : Jinghong Fan
Publisher : John Wiley & Sons
ISBN 13 : 111995648X
Total Pages : 510 pages
Book Rating : 4.88/5 ( download)

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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.

Author : Vladimir Hlavacek
Publisher : CRC Press
ISBN 13 : 9782881241116
Total Pages : 328 pages
Book Rating : 4.15/5 ( download)

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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:

Author : Weinan E
Publisher : Cambridge University Press
ISBN 13 : 1107096545
Total Pages : 485 pages
Book Rating : 4.47/5 ( download)

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Download or read book Principles of Multiscale Modeling written by Weinan E and published by Cambridge University Press. This book was released on 2011-07-07 with total page 485 pages. Available in PDF, EPUB and Kindle. Book excerpt: A systematic discussion of the fundamental principles, written by a leading contributor to the field.