Analysis Modeling And Simulation Of Multiscale Problems

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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.

Multiscale Modeling and Analysis for Materials Simulation

Author : Weizhu Bao
Publisher : World Scientific
ISBN 13 : 9814360899
Total Pages : 285 pages
Book Rating : 4.8/5 (143 download)

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Book Synopsis Multiscale Modeling and Analysis for Materials Simulation by : Weizhu Bao

Download or read book Multiscale Modeling and Analysis for Materials Simulation written by Weizhu Bao and published by World Scientific. This book was released on 2012 with total page 285 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Institute for Mathematical Sciences at the National University of Singapore hosted a two-month research program on "Mathematical Theory and Numerical Methods for Computational Materials Simulation and Design" from 1 July to 31 August 2009. As an important part of the program, tutorials and special lectures were given by leading experts in the fields for participating graduate students and junior researchers. This invaluable volume collects four expanded lecture notes with self-contained tutorials. They cover a number of aspects on multiscale modeling, analysis and simulations for problems arising from materials science including some critical components in computational prediction of materials properties such as the multiscale properties of complex materials, properties of defects, interfaces and material microstructures under different conditions, critical issues in developing efficient numerical methods and analytic frameworks for complex and multiscale materials models. This volume serves to inspire graduate students and researchers who choose to embark into original research work in these fields.

Multiscale Modeling and Simulation in Science

Author : Björn Engquist
Publisher : Springer Science & Business Media
ISBN 13 : 3540888578
Total Pages : 332 pages
Book Rating : 4.5/5 (48 download)

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Book Synopsis Multiscale Modeling and Simulation in Science by : Björn Engquist

Download or read book Multiscale Modeling and Simulation in Science written by Björn Engquist and published by Springer Science & Business Media. This book was released on 2009-02-11 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt: Most problems in science involve many scales in time and space. An example is turbulent ?ow where the important large scale quantities of lift and drag of a wing depend on the behavior of the small vortices in the boundarylayer. Another example is chemical reactions with concentrations of the species varying over seconds and hours while the time scale of the oscillations of the chemical bonds is of the order of femtoseconds. A third example from structural mechanics is the stress and strain in a solid beam which is well described by macroscopic equations but at the tip of a crack modeling details on a microscale are needed. A common dif?culty with the simulation of these problems and many others in physics, chemistry and biology is that an attempt to represent all scales will lead to an enormous computational problem with unacceptably long computation times and large memory requirements. On the other hand, if the discretization at a coarse level ignoresthe?nescale informationthenthesolutionwillnotbephysicallymeaningful. The in?uence of the ?ne scales must be incorporated into the model. This volume is the result of a Summer School on Multiscale Modeling and S- ulation in Science held at Boso ¤n, Lidingo ¤ outside Stockholm, Sweden, in June 2007. Sixty PhD students from applied mathematics, the sciences and engineering parti- pated in the summer school.

Multiscale Modeling for Process Safety Applications

Author : Arnab Chakrabarty
Publisher : Butterworth-Heinemann
ISBN 13 : 0123972833
Total Pages : 446 pages
Book Rating : 4.1/5 (239 download)

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Book Synopsis Multiscale Modeling for Process Safety Applications by : Arnab Chakrabarty

Download or read book Multiscale Modeling for Process Safety Applications written by Arnab Chakrabarty and published by Butterworth-Heinemann. This book was released on 2015-11-29 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt: Multiscale Modeling for Process Safety Applications is a new reference demonstrating the implementation of multiscale modeling techniques on process safety applications. It is a valuable resource for readers interested in theoretical simulations and/or computer simulations of hazardous scenarios. As multi-scale modeling is a computational technique for solving problems involving multiple scales, such as how a flammable vapor cloud might behave if ignited, this book provides information on the fundamental topics of toxic, fire, and air explosion modeling, as well as modeling jet and pool fires using computational fluid dynamics. The book goes on to cover nanomaterial toxicity, QPSR analysis on relation of chemical structure to flash point, molecular structure and burning velocity, first principle studies of reactive chemicals, water and air reactive chemicals, and dust explosions. Chemical and process safety professionals, as well as faculty and graduate researchers, will benefit from the detailed coverage provided in this book. - Provides the only comprehensive source addressing the use of multiscale modeling in the context of process safety - Bridges multiscale modeling with process safety, enabling the reader to understand mapping between problem detail and effective usage of resources - Presents an overall picture of addressing safety problems in all levels of modeling and the latest approaches to each in the field - Features worked out examples, case studies, and a question bank to aid understanding and involvement for the reader

Principles of Multiscale Modeling

Author : Weinan E
Publisher : Cambridge University Press
ISBN 13 : 1107096545
Total Pages : 485 pages
Book Rating : 4.1/5 (7 download)

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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 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.

Multiscale Modeling and Simulation of Composite Materials and Structures

Author : Young Kwon
Publisher : Springer Science & Business Media
ISBN 13 : 0387363181
Total Pages : 634 pages
Book Rating : 4.3/5 (873 download)

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Book Synopsis Multiscale Modeling and Simulation of Composite Materials and Structures by : Young Kwon

Download or read book Multiscale Modeling and Simulation of Composite Materials and Structures written by Young Kwon and published by Springer Science & Business Media. This book was released on 2007-12-04 with total page 634 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the state-of-the-art in multiscale modeling and simulation techniques for composite materials and structures. It focuses on the structural and functional properties of engineering composites and the sustainable high performance of components and structures. The multiscale techniques can be also applied to nanocomposites which are important application areas in nanotechnology. There are few books available on this topic.

Multiscale Materials Modeling for Nanomechanics

Author : Christopher R. Weinberger
Publisher : Springer
ISBN 13 : 3319334808
Total Pages : 554 pages
Book Rating : 4.3/5 (193 download)

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Book Synopsis Multiscale Materials Modeling for Nanomechanics by : Christopher R. Weinberger

Download or read book Multiscale Materials Modeling for Nanomechanics written by Christopher R. Weinberger and published by Springer. This book was released on 2016-08-30 with total page 554 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a unique combination of chapters that together provide a practical introduction to multiscale modeling applied to nanoscale materials mechanics. The goal of this book is to present a balanced treatment of both the theory of the methodology, as well as some practical aspects of conducting the simulations and models. The first half of the book covers some fundamental modeling and simulation techniques ranging from ab-inito methods to the continuum scale. Included in this set of methods are several different concurrent multiscale methods for bridging time and length scales applicable to mechanics at the nanoscale regime. The second half of the book presents a range of case studies from a varied selection of research groups focusing either on a the application of multiscale modeling to a specific nanomaterial, or novel analysis techniques aimed at exploring nanomechanics. Readers are also directed to helpful sites and other resources throughout the book where the simulation codes and methodologies discussed herein can be accessed. Emphasis on the practicality of the detailed techniques is especially felt in the latter half of the book, which is dedicated to specific examples to study nanomechanics and multiscale materials behavior. An instructive avenue for learning how to effectively apply these simulation tools to solve nanomechanics problems is to study previous endeavors. Therefore, each chapter is written by a unique team of experts who have used multiscale materials modeling to solve a practical nanomechanics problem. These chapters provide an extensive picture of the multiscale materials landscape from problem statement through the final results and outlook, providing readers with a roadmap for incorporating these techniques into their own research.

Practical Multiscaling

Author : Jacob Fish
Publisher : John Wiley & Sons
ISBN 13 : 1118534859
Total Pages : 420 pages
Book Rating : 4.1/5 (185 download)

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Book Synopsis Practical Multiscaling by : Jacob Fish

Download or read book Practical Multiscaling written by Jacob Fish and published by John Wiley & Sons. This book was released on 2013-09-03 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: Practical Multiscaling covers fundamental modelling techniques aimed at bridging diverse temporal and spatial scales ranging from the atomic level to a full-scale product level. It focuses on practical multiscale methods that account for fine-scale (material) details but do not require their precise resolution. The text material evolved from over 20 years of teaching experience at Rensselaer and Columbia University, as well as from practical experience gained in the application of multiscale software. This book comprehensively covers theory and implementation, providing a detailed exposition of the state-of-the-art multiscale theories and their insertion into conventional (single-scale) finite element code architecture. The robustness and design aspects of multiscale methods are also emphasised, which is accomplished via four building blocks: upscaling of information, systematic reduction of information, characterization of information utilizing experimental data, and material optimization. To ensure the reader gains hands-on experience, a companion website hosting a lite version of the multiscale design software (MDS-Lite) is available. Key features: Combines fundamental theory and practical methods of multiscale modelling Covers the state-of-the-art multiscale theories and examines their practical usability in design Covers applications of multiscale methods Accompanied by a continuously updated website hosting the multiscale design software Illustrated with colour images Practical Multiscaling is an ideal textbook for graduate students studying multiscale science and engineering. It is also a must-have reference for government laboratories, researchers and practitioners in civil, aerospace, pharmaceutical, electronics, and automotive industries, and commercial software vendors.

Analysis, Modeling and Simulation of Multiscale Problems

Author : Alexander Mielke
Publisher : Springer
ISBN 13 : 9783540826057
Total Pages : 697 pages
Book Rating : 4.8/5 (26 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. This book was released on 2009-09-02 with total page 697 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.

Multiscale Problems: Theory, Numerical Approximation And Applications

Author : Alain Damlamian
Publisher : World Scientific
ISBN 13 : 9814458120
Total Pages : 314 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Multiscale Problems: Theory, Numerical Approximation And Applications by : Alain Damlamian

Download or read book Multiscale Problems: Theory, Numerical Approximation And Applications written by Alain Damlamian and published by World Scientific. This book was released on 2011-10-13 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: The focus of this is on the latest developments related to the analysis of problems in which several scales are presented. After a theoretical presentation of the theory of homogenization in the periodic case, the other contributions address a wide range of applications in the fields of elasticity (asymptotic behavior of nonlinear elastic thin structures, modeling of junction of a periodic family of rods with a plate) and fluid mechanics (stationary Navier-Stokes equations in porous media). Other applications concern the modeling of new composites (electromagnetic and piezoelectric materials) and imperfect transmission problems. A detailed approach of numerical finite element methods is also investigated.

Handbook of Optoelectronic Device Modeling and Simulation

Author : Joachim Piprek
Publisher : CRC Press
ISBN 13 : 1498749577
Total Pages : 887 pages
Book Rating : 4.4/5 (987 download)

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Book Synopsis Handbook of Optoelectronic Device Modeling and Simulation by : Joachim Piprek

Download or read book Handbook of Optoelectronic Device Modeling and Simulation written by Joachim Piprek and published by CRC Press. This book was released on 2017-10-12 with total page 887 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provides a comprehensive survey of fundamental concepts and methods for optoelectronic device modeling and simulation. Gives a broad overview of concepts with concise explanations illustrated by real results. Compares different levels of modeling, from simple analytical models to complex numerical models. Discusses practical methods of model validation. Includes an overview of numerical techniques.

Stochastic Processes, Multiscale Modeling, and Numerical Methods for Computational Cellular Biology

Author : David Holcman
Publisher : Springer
ISBN 13 : 3319626272
Total Pages : 377 pages
Book Rating : 4.3/5 (196 download)

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Book Synopsis Stochastic Processes, Multiscale Modeling, and Numerical Methods for Computational Cellular Biology by : David Holcman

Download or read book Stochastic Processes, Multiscale Modeling, and Numerical Methods for Computational Cellular Biology written by David Holcman and published by Springer. This book was released on 2017-10-04 with total page 377 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on the modeling and mathematical analysis of stochastic dynamical systems along with their simulations. The collected chapters will review fundamental and current topics and approaches to dynamical systems in cellular biology. This text aims to develop improved mathematical and computational methods with which to study biological processes. At the scale of a single cell, stochasticity becomes important due to low copy numbers of biological molecules, such as mRNA and proteins that take part in biochemical reactions driving cellular processes. When trying to describe such biological processes, the traditional deterministic models are often inadequate, precisely because of these low copy numbers. This book presents stochastic models, which are necessary to account for small particle numbers and extrinsic noise sources. The complexity of these models depend upon whether the biochemical reactions are diffusion-limited or reaction-limited. In the former case, one needs to adopt the framework of stochastic reaction-diffusion models, while in the latter, one can describe the processes by adopting the framework of Markov jump processes and stochastic differential equations. Stochastic Processes, Multiscale Modeling, and Numerical Methods for Computational Cellular Biology will appeal to graduate students and researchers in the fields of applied mathematics, biophysics, and cellular biology.

Multiscale Modeling

Author : Marco A.R. Ferreira
Publisher : Springer Science & Business Media
ISBN 13 : 0387708979
Total Pages : 243 pages
Book Rating : 4.3/5 (877 download)

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Book Synopsis Multiscale Modeling by : Marco A.R. Ferreira

Download or read book Multiscale Modeling written by Marco A.R. Ferreira and published by Springer Science & Business Media. This book was released on 2007-07-27 with total page 243 pages. Available in PDF, EPUB and Kindle. Book excerpt: This highly useful book contains methodology for the analysis of data that arise from multiscale processes. It brings together a number of recent developments and makes them accessible to a wider audience. Taking a Bayesian approach allows for full accounting of uncertainty, and also addresses the delicate issue of uncertainty at multiple scales. These methods can handle different amounts of prior knowledge at different scales, as often occurs in practice.

Multi-scale Phenomena in Complex Fluids

Author : Thomas Y. Hou
Publisher : World Scientific
ISBN 13 : 9814273252
Total Pages : 379 pages
Book Rating : 4.8/5 (142 download)

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Book Synopsis Multi-scale Phenomena in Complex Fluids by : Thomas Y. Hou

Download or read book Multi-scale Phenomena in Complex Fluids written by Thomas Y. Hou and published by World Scientific. This book was released on 2009 with total page 379 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Practical Aspects of Computational Chemistry

Author : Jerzy Leszczynski
Publisher : Springer Science & Business Media
ISBN 13 : 9048126878
Total Pages : 468 pages
Book Rating : 4.0/5 (481 download)

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Book Synopsis Practical Aspects of Computational Chemistry by : Jerzy Leszczynski

Download or read book Practical Aspects of Computational Chemistry written by Jerzy Leszczynski and published by Springer Science & Business Media. This book was released on 2009-10-03 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Practical Aspects of Computational Chemistry" presents contributions on a range of aspects of Computational Chemistry applied to a variety of research fields. The chapters focus on recent theoretical developments which have been used to investigate structures and properties of large systems with minimal computational resources. Studies include those in the gas phase, various solvents, various aspects of computational multiscale modeling, Monte Carlo simulations, chirality, the multiple minima problem for protein folding, the nature of binding in different species and dihydrogen bonds, carbon nanotubes and hydrogen storage, adsorption and decomposition of organophosphorus compounds, X-ray crystallography, proton transfer, structure-activity relationships, a description of the REACH programs of the European Union for chemical regulatory purposes, reactions of nucleic acid bases with endogenous and exogenous reactive oxygen species and different aspects of nucleic acid bases, base pairs and base tetrads.

Mathematical Modeling

Author : Christof Eck
Publisher : Springer
ISBN 13 : 3319551612
Total Pages : 519 pages
Book Rating : 4.3/5 (195 download)

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Book Synopsis Mathematical Modeling by : Christof Eck

Download or read book Mathematical Modeling written by Christof Eck and published by Springer. This book was released on 2017-04-11 with total page 519 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical models are the decisive tool to explain and predict phenomena in the natural and engineering sciences. With this book readers will learn to derive mathematical models which help to understand real world phenomena. At the same time a wealth of important examples for the abstract concepts treated in the curriculum of mathematics degrees are given. An essential feature of this book is that mathematical structures are used as an ordering principle and not the fields of application. Methods from linear algebra, analysis and the theory of ordinary and partial differential equations are thoroughly introduced and applied in the modeling process. Examples of applications in the fields electrical networks, chemical reaction dynamics, population dynamics, fluid dynamics, elasticity theory and crystal growth are treated comprehensively.

Encyclopedia of Bioinformatics and Computational Biology

Author :
Publisher : Elsevier
ISBN 13 : 0128114320
Total Pages : 3421 pages
Book Rating : 4.1/5 (281 download)

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Book Synopsis Encyclopedia of Bioinformatics and Computational Biology by :

Download or read book Encyclopedia of Bioinformatics and Computational Biology written by and published by Elsevier. This book was released on 2018-08-21 with total page 3421 pages. Available in PDF, EPUB and Kindle. Book excerpt: Encyclopedia of Bioinformatics and Computational Biology: ABC of Bioinformatics, Three Volume Set combines elements of computer science, information technology, mathematics, statistics and biotechnology, providing the methodology and in silico solutions to mine biological data and processes. The book covers Theory, Topics and Applications, with a special focus on Integrative –omics and Systems Biology. The theoretical, methodological underpinnings of BCB, including phylogeny are covered, as are more current areas of focus, such as translational bioinformatics, cheminformatics, and environmental informatics. Finally, Applications provide guidance for commonly asked questions. This major reference work spans basic and cutting-edge methodologies authored by leaders in the field, providing an invaluable resource for students, scientists, professionals in research institutes, and a broad swath of researchers in biotechnology and the biomedical and pharmaceutical industries. Brings together information from computer science, information technology, mathematics, statistics and biotechnology Written and reviewed by leading experts in the field, providing a unique and authoritative resource Focuses on the main theoretical and methodological concepts before expanding on specific topics and applications Includes interactive images, multimedia tools and crosslinking to further resources and databases