03454nam 22008535 450 991014630160332120250731082528.03-540-69784-510.1007/BFb0092091(CKB)1000000000437326(SSID)ssj0000323820(PQKBManifestationID)12114818(PQKBTitleCode)TC0000323820(PQKBWorkID)10303301(PQKB)11478910(DE-He213)978-3-540-69784-8(MiAaPQ)EBC5595587(Au-PeEL)EBL5595587(OCoLC)1076260481(MiAaPQ)EBC6842047(Au-PeEL)EBL6842047(OCoLC)1294145391(PPN)155181165(EXLCZ)99100000000043732620121227d1998 u| 0engurnn|008mamaatxtccrHomogenization in Time of Singularly Perturbed Mechanical Systems /by Folkmar Bornemann1st ed. 1998.Berlin, Heidelberg :Springer Berlin Heidelberg :Imprint: Springer,1998.1 online resource (XIV, 158 p.) Lecture Notes in Mathematics,1617-9692 ;1687Bibliographic Level Mode of Issuance: Monograph3-540-64447-4 Includes bibliographical references and index.Homogenization of natural mechanical systems with a strong constraining potential -- Applications -- Adiabatic results in quantum theory and quantum-classical coupling.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.Lecture Notes in Mathematics,1617-9692 ;1687Mathematical analysisIntegral equationsDynamicsSystem theoryNumerical analysisChemometricsAnalysisIntegral EquationsDynamical SystemsComplex SystemsNumerical AnalysisMathematical Applications in ChemistryMathematical analysis.Integral equations.Dynamics.System theory.Numerical analysis.Chemometrics.Analysis.Integral Equations.Dynamical Systems.Complex Systems.Numerical Analysis.Mathematical Applications in Chemistry.515.352Bornemann Folkmar1967-62014MiAaPQMiAaPQMiAaPQBOOK9910146301603321Homogenization in time of singularly perturbed mechanical systems78861UNINA