Homogenization in time of singularly perturbed mechanical systems
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Word Count
39,000 words, Guess
Page Count
156 pages
Identifiers
- Open LibraryOL360262M
- ISBN-103540644474
- OCLC Control Number504027041
- OCLC Control Number39052263
- Library of Congress Control Number98020309
and 2 more
- Goodreads4093623
- LibraryThing8725314
Classifications
- DDC510 s
- LCCQA3 .L28 no. 1687
- LCCQA614.8 .L28 no. 1687
and 1 more
- DDC515/.352
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.
Subjects
Series Statement
- Lecture notes in mathematics,
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