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001 978-3-540-69784-8
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007 cr nn 008mamaa
008 121227s1998 gw | s |||| 0|eng d
020 _a9783540697848
_9978-3-540-69784-8
024 7 _a10.1007/BFb0092091
_2doi
050 4 _aQA299.6-433
072 7 _aPBK
_2bicssc
072 7 _aMAT034000
_2bisacsh
072 7 _aPBK
_2thema
082 0 4 _a515
_223
100 1 _aBornemann, Folkmar.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aHomogenization in Time of Singularly Perturbed Mechanical Systems
_h[electronic resource] /
_cby Folkmar Bornemann.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg :
_bImprint: Springer,
_c1998.
300 _aXIV, 158 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1687
505 0 _aHomogenization of natural mechanical systems with a strong constraining potential -- Applications -- Adiabatic results in quantum theory and quantum-classical coupling.
520 _aThis 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.
650 0 _aGlobal analysis (Mathematics).
650 0 _aIntegral equations.
650 0 _aDifferentiable dynamical systems.
650 0 _aNumerical analysis.
650 0 _aChemistry
_xMathematics.
650 1 4 _aAnalysis.
_0http://scigraph.springernature.com/things/product-market-codes/M12007
650 2 4 _aIntegral Equations.
_0http://scigraph.springernature.com/things/product-market-codes/M12090
650 2 4 _aDynamical Systems and Ergodic Theory.
_0http://scigraph.springernature.com/things/product-market-codes/M1204X
650 2 4 _aComplex Systems.
_0http://scigraph.springernature.com/things/product-market-codes/P33000
650 2 4 _aNumerical Analysis.
_0http://scigraph.springernature.com/things/product-market-codes/M14050
650 2 4 _aMath. Applications in Chemistry.
_0http://scigraph.springernature.com/things/product-market-codes/C17004
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783662165577
776 0 8 _iPrinted edition:
_z9783540644477
830 0 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1687
856 4 0 _uhttps://doi.org/10.1007/BFb0092091
912 _aZDB-2-SMA
912 _aZDB-2-LNM
912 _aZDB-2-BAE
999 _c10531
_d10531