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- catalog abstract "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.".
- catalog contributor b11382708.
- catalog created "c1998.".
- catalog date "1998".
- catalog date "c1998.".
- catalog dateCopyrighted "c1998.".
- catalog description "From the contents: Introduction -- Homogenization of Natural Mechanical Systems -- Applications -- Adiabatic Results in Quantum Theory -- Appendices.".
- catalog description "Includes bibliographical references (p. [145]-149) and index.".
- catalog description "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.".
- catalog extent "xii, 156 p. :".
- catalog identifier "3540644474 (softcover : alk. paper)".
- catalog isPartOf "Lecture notes in mathematics (Springer-Verlag) ; 1687.".
- catalog isPartOf "Lecture notes in mathematics, 0075-8434 ; 1687".
- catalog issued "1998".
- catalog issued "c1998.".
- catalog language "eng".
- catalog publisher "Berlin ; New York : Springer-Verlag,".
- catalog subject "510 s 515/.352 21".
- catalog subject "Chemistry Mathematics.".
- catalog subject "Differentiable dynamical systems.".
- catalog subject "Engineering.".
- catalog subject "Homogenization (Differential equations)".
- catalog subject "Mathematics.".
- catalog subject "Numerical analysis.".
- catalog subject "Physics.".
- catalog subject "QA3 .L28 no. 1687 QA614.8".
- catalog tableOfContents "From the contents: Introduction -- Homogenization of Natural Mechanical Systems -- Applications -- Adiabatic Results in Quantum Theory -- Appendices.".
- catalog title "Homogenization in time of singularly perturbed mechanical systems / Folkmar Bornemann.".
- catalog type "text".