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Homogenization in Time of Singularly Perturbed Mechanical Systems

Homogenization in Time of Singularly Perturbed Mechanical Systems
Catalogue Information
Field name Details
Dewey Class 515
Title Homogenization in Time of Singularly Perturbed Mechanical Systems ([EBook]) / by Folkmar Bornemann.
Author Bornemann, Folkmar , 1967-
Other name(s) SpringerLink (Online service)
Publication Berlin, Heidelberg : Springer , 1998.
Physical Details XIV, 158 pages : online resource.
Series Lecture Notes in Mathematics 0075-8434 ; ; 1687
ISBN 9783540697848
Summary Note 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.:
Contents note Homogenization of natural mechanical systems with a strong constraining potential -- Applications -- Adiabatic results in quantum theory and quantum-classical coupling.
System details note Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site http://dx.doi.org/10.1007/BFb0092091
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