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Homogenization in Time of Singularly Perturbed Mechanical Systems
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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
Links to Related Works
Subject References:
Analysis (Mathematics)
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Chemometrics
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Dynamical Systems
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Dynamical systems and ergodic theory
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Dynamics
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Ergodic theory
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Integral Equations
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Mathematical analysis
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Numerical Analysis
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Statistical Physics
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Authors:
Bornemann, Folkmar 1967-
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Bornemann, Folkmar, 1967-
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Corporate Authors:
SpringerLink (Online service)
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Series:
Lecture Notes in Mathematics
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Classification:
515
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