000 02687nam a22005535i 4500
001 978-3-540-69784-8
003 DE-He213
005 20160624101833.0
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 _aQA313
072 7 _aPBWR
_2bicssc
072 7 _aMAT034000
_2bisacsh
082 0 4 _a515.39
_223
082 0 4 _a515.48
_223
100 1 _aBornemann, Folkmar.
_eauthor.
245 1 0 _aHomogenization in Time of Singularly Perturbed Mechanical Systems
_h[electronic resource] /
_cby Folkmar Bornemann.
260 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c1998.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_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 _aMathematics.
650 0 _aChemistry
_xMathematics.
650 0 _aDifferentiable dynamical systems.
650 0 _aNumerical analysis.
650 0 _aPhysics.
650 0 _aEngineering.
650 1 4 _aMathematics.
650 2 4 _aDynamical Systems and Ergodic Theory.
650 2 4 _aComplexity.
650 2 4 _aNumerical Analysis.
650 2 4 _aMath. Applications in Chemistry.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783540644477
786 _dSpringer
830 0 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1687
856 4 0 _uhttp://dx.doi.org/10.1007/BFb0092091
942 _2EBK1829
_cEBK
999 _c31123
_d31123