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Frontiers of Engineering Reports on Leading-Edge Engineering from the 2004 NAE Symposium on Frontiers of Engineering (2005) / Chapter Skim
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MULTISCALE MODELING
Introduction--Grant S. Heffelfinger and Dimitrios Maroudas
Pages 65-68

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From page 67...
... by establishing rigorous links between widely different theoretical formalisms and computational methods that capture a very broad range of space and time scales -- from electronic, molecular, and mesoscopic or microstructural scales to continuum or macroscopic scales. The core capabilities of multiscale modeling and simulation include computational quantum mechanics, statistical mechanics, and continuum mechanics combined with applied and computational mathematics, such as numerical analysis, nonlinear analysis of dynamic systems, optimization, and control theory.
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From page 68...
... Presentations address recent advances in the theoretical, mathematical, and computer science underpinnings of multiscale modeling, as well as computational science challenges, such as tera- and petascale computing, advanced visualization, and enabling technologies.
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Key Terms

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  • multiple length
  • control theory
  • specific applications

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  • computational quantum
  • theoretical formalisms
  • mechanics combined
  • recent advances

  • significant challenge
  • petascale computing
  • enabling technologies
  • simulation methods
  • computational science

  • computational mathematics
  • span multiple
  • nonlinear analysis
  • simulation links
  • computational methods

  • macroscopic scales
  • rigorous links
  • science challenges
  • macroscopic responses
  • statistical mechanics


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