Homogenization in Time of Singularly Perturbed Mechanical Systems

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  • Homogenization in Time of Singularly Perturbed Mechanical Systems Book Detail

  • Author : Folkmar Bornemann
  • Release Date : 2006-11-15
  • Publisher : Springer
  • Genre : Mathematics
  • Pages : 166
  • ISBN 13 : 3540697845
  • File Size : 34,34 MB

Homogenization in Time of Singularly Perturbed Mechanical Systems by Folkmar Bornemann PDF Summary

Book Description: This book is about the explicit elimination of fast oscillatory scales in dynamical systems, which is important for efficient computer-simulations and our understanding of model hierarchies. The author presents his new direct method, homogenization in time, based on energy principles and weak convergence techniques. How to use this method is shown in several general cases taken from classical and quantum mechanics. The results are applied to special problems from plasma physics, molecular dynamics and quantum chemistry. Background material from functional analysis is provided and explained to make this book accessible for a general audience of graduate students and researchers.

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Nonsmooth Mechanics

Nonsmooth Mechanics

File Size : 62,62 MB
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Now in its third edition, this standard reference is a comprehensive treatment of nonsmooth mechanical systems refocused to give more prominence to issues conne