Multiscale Methods: Bridging the Scales in Science and Engineering

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Jacob Fish (Rosalind and John J Redfern Chaired Professor of Engineering, Director of Multiscale Science and Engineering Center, Rensselaer Polytechnic Institute)

Multiscale Methods

Bridging the Scales in Science and Engineering

Jacob Fish (Rosalind and John J Redfern Chaired Professor of Engineering, Director of Multiscale Science and Engineering Center, Rensselaer Polytechnic Institute)

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English

Oxford University Press
15 October 2009

Applied mathematics; Mathematical modelling; Mensuration & systems of measurement; Nanotechnology

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 the transfer 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 error estimation 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), biological systems, 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.

Edited by: Jacob Fish (Rosalind and John J Redfern Chaired Professor of Engineering Director of Multiscale Science and Engineering Center Rensselaer Polytechnic Institute)
Imprint: Oxford University Press
Country of Publication: United Kingdom
Dimensions: Height: 240mm, Width: 160mm, Spine: 40mm
Weight: 1.056kg
ISBN: 9780199233854
ISBN 10: 0199233853
Pages: 624
Publication Date: 15 October 2009
Audience: Adult education , Tertiary & Higher Education
Format: Hardback
Publisher's Status: Active

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.