Lecture Notes in Mathematics

Bornemann, Folkmar

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.

Details

Published by: Springer

Publication Date: 1998-06-18

Format: Paperback

ISBN-13: 9783540644477

DOI: 10.1007/BFb0092091

Dimensions: 235cm x155cm

Pages: 158