Homogenization in Time of Singularly Perturbed Mechanical Systems

• Κύριος συγγραφέας: Bornemann, Folkmar (Συγγραφέας, http://id.loc.gov/vocabulary/relators/aut)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1998.
• Έκδοση: 1st ed. 1998.
• Σειρά: Lecture Notes in Mathematics, 1687
• Θέματα: Mathematical analysis.; Analysis (Mathematics).; Integral equations.; Dynamics.; Ergodic theory.; Statistical physics.; Dynamical systems.; Numerical analysis.; Chemometrics.; Analysis.; Integral Equations.; Dynamical Systems and Ergodic Theory.; Complex Systems.; Numerical Analysis.; Math. Applications in Chemistry.
• Φυσική περιγραφή: XIV, 158 p. online resource.
• ISBN: 9783540697848
• ISSN: 0075-8434 ;
• DOI: 10.1007/BFb0092091

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.