Franklin

Homogenization in Time of Singularly Perturbed Mechanical Systems [electronic resource] / by Folkmar Bornemann.

Author/Creator:
Bornemann, Folkmar. author., Author,
Publication:
Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1998.
Format/Description:
Book
1 online resource (XIV, 158 pages)
Series:
Lecture Notes in Mathematics, 0075-8434 ; 1687
Lecture Notes in Mathematics, 0075-8434 ; 1687
Contained In:
Springer eBooks
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Subjects:
Global analysis (Mathematics).
Integral equations.
Differentiable dynamical systems.
Numerical analysis.
Chemistry -- Mathematics.
Local subjects:
Analysis. (search)
Integral Equations. (search)
Dynamical Systems and Ergodic Theory. (search)
Complex Systems. (search)
Numerical Analysis. (search)
Math. Applications in Chemistry. (search)
System Details:
text file PDF
Summary:
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.
Contents:
Homogenization of natural mechanical systems with a strong constraining potential
Applications
Adiabatic results in quantum theory and quantum-classical coupling.
Contributor:
SpringerLink (Online service)
Other format:
Printed edition:
Printed edition:
ISBN:
9783540697848
Publisher Number:
10.1007/BFb0092091 doi
Access Restriction:
Restricted for use by site license.