Homogenization in Time of Singularly Perturbed Mechanical Systems: 1687 (Lecture Notes in Mathematics, 1687) - Softcover

Bornemann, Folkmar

 
9783540644477: Homogenization in Time of Singularly Perturbed Mechanical Systems: 1687 (Lecture Notes in Mathematics, 1687)

Synopsis

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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9783662165577: Homogenization in Time of Singularly Perturbed Mechanical Systems

Featured Edition

ISBN 10:  3662165570 ISBN 13:  9783662165577
Publisher: Springer, 2014
Softcover