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  • Book
  • © 1998

Homogenization in Time of Singularly Perturbed Mechanical Systems

Part of the book series: Lecture Notes in Mathematics (LNM, volume 1687)

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Table of contents (4 chapters)

  1. Front Matter

    Pages I-XII
  2. Introduction

    • Folkmar Bornemann
    Pages 1-16
  3. Applications

    • Folkmar Bornemann
    Pages 73-88
  4. Back Matter

    Pages 115-156

About this book

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.

Keywords

  • dynamical systems
  • elimination of fast scales
  • homogenization
  • mechanical system
  • mechanics
  • model
  • molecular dynamics
  • numerical simulation
  • perturbation
  • simulation
  • singular perturbation
  • weak convergence

Bibliographic Information

Buying options

eBook USD 29.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 39.00
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions