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Principles of Multiscale Modeling

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Release : 2011-07-07
Genre : Mathematics
Kind : eBook
Book Rating : 545/5 ( reviews)

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Book Synopsis Principles of Multiscale Modeling by : Weinan E

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

Computational Multiscale Modeling of Fluids and Solids

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Author :
Release : 2008
Genre : Science
Kind : eBook
Book Rating : 165/5 ( reviews)

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Book Synopsis Computational Multiscale Modeling of Fluids and Solids by : Martin Oliver Steinhauser

Download or read book Computational Multiscale Modeling of Fluids and Solids written by Martin Oliver Steinhauser. This book was released on 2008. Available in PDF, EPUB and Kindle. Book excerpt: The idea of the book is to provide a comprehensive overview of computational physics methods and techniques, that are used for materials modeling on different length and time scales. Each chapter first provides an overview of the physical basic principles which are the basis for the numerical and mathematical modeling on the respective length-scale. The book includes the micro-scale, the meso-scale and the macro-scale. The chapters follow this classification. The book will explain in detail many tricks of the trade of some of the most important methods and techniques that are used to simulate materials on the perspective levels of spatial and temporal resolution. Case studies are occasionally included to further illustrate some methods or theoretical considerations. Example applications for all techniques are provided, some of which are from the author’s own contributions to some of the research areas. Methods are explained, if possible, on the basis of the original publications but also references to standard text books established in the various fields are mentioned.

Multiscale Methods

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Release : 2010
Genre : Mathematics
Kind : eBook
Book Rating : 853/5 ( reviews)

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Book Synopsis Multiscale Methods by : Jacob Fish

Download or read book Multiscale Methods written by Jacob Fish. This book was released on 2010. Available in PDF, EPUB and Kindle. Book excerpt: Small scale features and processes occurring at nanometer and femtosecond scales have a profound impact on what happens at a larger scale and over an extensive period of time. The primary objective of this volume is to reflect the state-of-the-art in multiscale mathematics, modeling, and simulations and to address the following barriers: What is the information that needs to be transferred from one model or scale to another and what physical principles must be satisfied during thetransfer of information? What are the optimal ways to achieve such transfer of information? How can variability of physical parameters at multiple scales be quantified and how can it be accounted for to ensure design robustness?The multiscale approaches in space and time presented in this volume are grouped into two main categories: information-passing and concurrent. In the concurrent approaches various scales are simultaneously resolved, whereas in the information-passing methods the fine scale is modeled and its gross response is infused into the continuum scale. The issue of reliability of multiscale modeling and simulation tools which focus on a hierarchy of multiscale models and an a posteriori model of errorestimation including uncertainty quantification, is discussed in several chapters. Component software that can be effectively combined to address a wide range of multiscale simulations is also described. Applications range from advanced materials to nanoelectromechanical systems (NEMS), biologicalsystems, and nanoporous catalysts where physical phenomena operates across 12 orders of magnitude in time scales and 10 orders of magnitude in spatial scales.This volume is a valuable reference book for scientists, engineers and graduate students practicing in traditional engineering and science disciplines as well as in emerging fields of nanotechnology, biotechnology, microelectronics and energy.

Computational Multiscale Modeling of Fluids and Solids

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Author :
Release : 2016-11-29
Genre : Science
Kind : eBook
Book Rating : 247/5 ( reviews)

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Book Synopsis Computational Multiscale Modeling of Fluids and Solids by : Martin Oliver Steinhauser

Download or read book Computational Multiscale Modeling of Fluids and Solids written by Martin Oliver Steinhauser. This book was released on 2016-11-29. Available in PDF, EPUB and Kindle. Book excerpt: The idea of the book is to provide a comprehensive overview of computational physics methods and techniques, that are used for materials modeling on different length and time scales. Each chapter first provides an overview of the basic physical principles which are the basis for the numerical and mathematical modeling on the respective length-scale. The book includes the micro-scale, the meso-scale and the macro-scale, and the chapters follow this classification. The book explains in detail many tricks of the trade of some of the most important methods and techniques that are used to simulate materials on the perspective levels of spatial and temporal resolution. Case studies are included to further illustrate some methods or theoretical considerations. Example applications for all techniques are provided, some of which are from the author’s own contributions to some of the research areas. The second edition has been expanded by new sections in computational models on meso/macroscopic scales for ocean and atmosphere dynamics. Numerous applications in environmental physics and geophysics had been added.

Multiscale Modeling

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Author :
Release : 2010-12-09
Genre : Science
Kind : eBook
Book Rating : 400/5 ( reviews)

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Book Synopsis Multiscale Modeling by : Pedro Derosa

Download or read book Multiscale Modeling written by Pedro Derosa. This book was released on 2010-12-09. Available in PDF, EPUB and Kindle. Book excerpt: While the relevant features and properties of nanosystems necessarily depend on nanoscopic details, their performance resides in the macroscopic world. To rationally develop and accurately predict performance of these systems we must tackle problems where multiple length and time scales are coupled. Rather than forcing a single modeling approach to

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