Model Reduction and Coarse-Graining Approaches for Multiscale Phenomena, Alexander N. Gorban; Nikolas Kazantzis; I. G. Kevr

Автор: Pavliotis
Название: Multiscale Methods
ISBN: 0387738282 ISBN-13(EAN): 9780387738284
Издательство: Springer
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Цена: 65210.00 T
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Описание: The book is meant to be an introduction, aimed primarily towards graduate students. Part I of the book (theoretical foundations) and Part III of the book (proving theorems concerning simplified versions of the models that are studied in Part II) are necessarily terse and present the wide range of applications of the ideas, and illustrate their unity. The subject matter in these set of notes has, for the most part, been known for several decades. However, the particular presentation of the material here is particularly suited to the pedagogical goal of communicating the subject area to the wide range of mathematicians, scientists and engineers who are currently engaged in the use of these tools to tackle the enormous range of applications that require them.Extensions and generalizations of the results presented in these notes, as well as references to the literature, are given in the Discussion and Bibliography section, at the end of each chapter. With the exception of Chapter 1, all chapters are supplemented with exercises.

Автор: Xia Liang
Название: Multiscale Structural Topology Optimization
ISBN: 1785481002 ISBN-13(EAN): 9781785481000
Издательство: Elsevier Science
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Цена: 77470.00 T
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Описание: Multiscale Structural Topology Optimization discusses the development of a multiscale design framework for topology optimization of multiscale nonlinear structures. With the intention to alleviate the heavy computational burden of the design framework, the authors present a POD-based adaptive surrogate model for the RVE solutions at the microscopic scale and make a step further towards the design of multiscale elastoviscoplastic structures. . Various optimization methods for structural size, shape, and topology designs have been developed and widely employed in engineering applications. Topology optimization has been recognized as one of the most effective tools for least weight and performance design, especially in aeronautics and aerospace engineering. . This book focuses on the simultaneous design of both macroscopic structure and microscopic materials. In this model, the material microstructures are optimized in response to the macroscopic solution, which results in the nonlinearity of the equilibrium problem of the interface of the two scales. The authors include a reduce database model from a set of numerical experiments in the space of effective strain.

Автор: Bj?rn Engquist; Olof Runborg; Yen-Hsi R. Tsai
Название: Numerical Analysis of Multiscale Computations
ISBN: 3642269702 ISBN-13(EAN): 9783642269707
Издательство: Springer
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Цена: 93160.00 T
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Описание: It covers fundamental mathematical theory, numerical algorithms as well as practical computational advice for analysing single and multiphysics models containing a variety of scales in time and space.

Автор: Adrian Muntean; Jens D. M. Rademacher; Antonios Za
Название: Macroscopic and Large Scale Phenomena: Coarse Graining, Mean Field Limits and Ergodicity
ISBN: 3319268821 ISBN-13(EAN): 9783319268828
Издательство: Springer
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Цена: 95770.00 T
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Описание: They review recent developments in the study of homoclinic pointsfor certain discrete dynamical systems, relating to particle systems viaergodic properties of lattices configurations.

Автор: Sagaut Pierre
Название: Multiscale and Multiresolution Approaches in Turbulence
ISBN: 1848169868 ISBN-13(EAN): 9781848169869
Издательство: World Scientific Publishing
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Цена: 147840.00 T
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Описание: Aims to provide the reader with a general presentation of multiscale/multiresolution approaches in turbulent flow simulations. In this book, all modern approaches (LES, hybrid RANS/LES, DES, SAS) are discussed and recast in a global comprehensive framework.

Автор: Thomas E. Ouldridge
Название: Coarse-Grained Modelling of DNA and DNA Self-Assembly
ISBN: 3642436528 ISBN-13(EAN): 9783642436529
Издательство: Springer
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Цена: 87060.00 T
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Описание: This book presents and demonstrates a coarse-grained model of DNA, simulating DNA tweezers, an iconic nanodevice, and a two-footed DNA walker - it represents the first time that coarse-grained modelling has been applied to dynamic DNA nanotechnology.