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Multiscale Methods: Bridging the Scales in Science and Engineering Hardcover – December 20, 2009

1 customer review
ISBN-13: 978-0199233854 ISBN-10: 0199233853 Edition: 1st

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Multiscale Methods: Bridging the Scales in Science and Engineering + Continuum Mechanics and Thermodynamics: From Fundamental Concepts to Governing Equations + Modeling Materials: Continuum, Atomistic and Multiscale Techniques
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Editorial Reviews

About the Author


Dr Fish is The Rosalind and John J. Redfern Jr. '33 Chaired Professor in Engineering at the Renssalaer Polytechnic Institute and a Fellow of the American Academy of Mechanics, United States Association for Computational Mechanics, and the International Association for Computational Mechanics. He has written over 150 articles and book chapters on the subject of multiscale computational science. Dr. Fish received numerous NSF awards including Young Investigator Award, NASA Langley research grant related to High Speed Civil Transport (HSCT), contracts from Lockheed Missiles & Space Company, Sikorski, ALCOA, Northrop-Grumman, GE, Rolls-Royce, Allison Engines, GM, Chrysler and Ford on various aspects of structural integrity; NSF, AFOSR, ONR, SANDIA and DARPA grants for development of multiscale computational techniques. He is currently directing the National Science Foundation Nanoscale Interdisciplinary Research Teams (NIRT) program at Rensselaer.
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Product Details

  • Hardcover: 450 pages
  • Publisher: Oxford University Press; 1 edition (December 20, 2009)
  • Language: English
  • ISBN-10: 0199233853
  • ISBN-13: 978-0199233854
  • Product Dimensions: 9.3 x 1.6 x 6 inches
  • Shipping Weight: 2.4 pounds (View shipping rates and policies)
  • Average Customer Review: 5.0 out of 5 stars  See all reviews (1 customer review)
  • Amazon Best Sellers Rank: #2,413,311 in Books (See Top 100 in Books)

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1 of 2 people found the following review helpful By Xiaomei Ji on March 11, 2013
Format: Hardcover
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 the transfer of information? What are the optimal ways to achieve such transfer of information? How to quantify variability of physical parameters at multiple scales and how to account for it to ensure design robustness?

Various multiscale approaches in space and time presented in this Volume are grouped into two main categories: information-passing and concurrent.
In the concurrent approaches described in Chapters 4-6, various scales are simultaneously resolved, whereas in the information-passing methods(sometimes referred to as hierarchical or sequential methods), the fine scale is modeled and its gross response is infused into the coarse scale. Chapter 4 focuses on linking continuum and discrete scales, whereas in Chapter 5 attention is restricted to concurrent linking of discrete scales. Mathematical analysis of some of the concurrent methods is given in Chapter 6. The state-of-the-art spatial information-passing method is described in Chapter 1-3 with Chapter 2 devoted to systems with self-similar microstructure, Chapter 3 focuses on reducing computational complexity of information-passing methods, and Chapter 1 on mathematical analysis of some of information-passing methods. Progress in the space-time information-passing methods is featured in Chapters 8 and 9. A unified concurrent-information-passing framework which in principle is not limited by such conditions is provided in Chapter 7.
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Multiscale Methods: Bridging the Scales in Science and Engineering
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