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|a 9783540697848
|9 978-3-540-69784-8
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|a 10.1007/BFb0092091
|2 doi
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|a QA299.6-433
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|a 515
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|a Bornemann, Folkmar.
|e author.
|4 aut
|4 http://id.loc.gov/vocabulary/relators/aut
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|a Homogenization in Time of Singularly Perturbed Mechanical Systems
|h [electronic resource] /
|c by Folkmar Bornemann.
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|a 1st ed. 1998.
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|a Berlin, Heidelberg :
|b Springer Berlin Heidelberg :
|b Imprint: Springer,
|c 1998.
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|a XIV, 158 p.
|b online resource.
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|a text
|b txt
|2 rdacontent
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|a computer
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|2 rdamedia
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|a online resource
|b cr
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|a text file
|b PDF
|2 rda
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|a Lecture Notes in Mathematics,
|x 0075-8434 ;
|v 1687
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|a Homogenization of natural mechanical systems with a strong constraining potential -- Applications -- Adiabatic results in quantum theory and quantum-classical coupling.
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|a 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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|a Mathematical analysis.
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|a Analysis (Mathematics).
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|a Integral equations.
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|a Dynamics.
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|a Ergodic theory.
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|a Statistical physics.
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|a Dynamical systems.
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|a Numerical analysis.
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|a Chemometrics.
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|a Analysis.
|0 http://scigraph.springernature.com/things/product-market-codes/M12007
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|a Integral Equations.
|0 http://scigraph.springernature.com/things/product-market-codes/M12090
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|a Dynamical Systems and Ergodic Theory.
|0 http://scigraph.springernature.com/things/product-market-codes/M1204X
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|a Complex Systems.
|0 http://scigraph.springernature.com/things/product-market-codes/P33000
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|a Numerical Analysis.
|0 http://scigraph.springernature.com/things/product-market-codes/M14050
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|a Math. Applications in Chemistry.
|0 http://scigraph.springernature.com/things/product-market-codes/C17004
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|a SpringerLink (Online service)
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|t Springer eBooks
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|i Printed edition:
|z 9783662165577
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|i Printed edition:
|z 9783540644477
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|a Lecture Notes in Mathematics,
|x 0075-8434 ;
|v 1687
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856 |
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|u https://doi.org/10.1007/BFb0092091
|z Full Text via HEAL-Link
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|a ZDB-2-SMA
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|a ZDB-2-LNM
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|a ZDB-2-BAE
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|a Mathematics and Statistics (Springer-11649)
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