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Analysis, Modeling and Simulation of Multiscale Problems

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Cover of 'Analysis, Modeling and Simulation of Multiscale Problems'

Table of Contents

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    Book Overview
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    Chapter 1 Exponential Estimates in Averaging and Homogenisation
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    Chapter 2 Multiscale Problems in Solidification Processes
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    Chapter 3 Multiscale Modeling of Epitaxial Growth: From Discrete-Continuum to Continuum Equations
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    Chapter 4 On Asymptotic Limits of Cahn-Hilliard Systems with Elastic Misfit
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    Chapter 5 Simulations of Complex Microstructure Formations
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    Chapter 6 Multiple Scales in Phase Separating Systems with Elastic Misfit
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    Chapter 7 A General Theory for Elastic Phase Transitions in Crystals
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    Chapter 8 Relaxation and the Computation of Effective Energies and Microstructures in Solid Mechanics
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    Chapter 9 Derivation of Elastic Theories for Thin Sheets and the Constraint of Incompressibility
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    Chapter 10 Domain Walls and Vortices in Thin Ferromagnetic Films
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    Chapter 11 Wavelet-Based Multiscale Methods for Electronic Structure Calculations
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    Chapter 12 Multi-Scale Modeling of Quantum Semiconductor Devices
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    Chapter 13 Electronic States in Semiconductor Nanostructures and Upscaling to Semi-Classical Models
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    Chapter 14 Shape Optimization of Biomorphic Ceramics with Microstructures by Homogenization Modeling
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    Chapter 15 Discrete Free Energy Functionals for Elastic Materials with Phase Change
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    Chapter 16 Continuum Descriptions for the Dynamics in Discrete Lattices: Derivation and Justification
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    Chapter 17 Wave Trains, Solitons and Modulation Theory in FPU Chains
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    Chapter 18 On the Effect of Correlations, Fluctuations and Collisions in Ostwald Ripening
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    Chapter 19 Radiative Friction for Charges Interacting with the Radiation Field: Classical Many-Particle Systems
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    Chapter 20 Numerical Integrators for Highly Oscillatory Hamiltonian Systems: A Review
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    Chapter 21 Energy Level Crossings in Molecular Dynamics
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    Chapter 22 Motion of Electrons in Adiabatically Perturbed Periodic Structures
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    Chapter 23 Graph Algorithms for Dynamical Systems
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    Chapter 24 Conditional Averaging for Diffusive Fast-Slow Systems: A Sketch for Derivation
Attention for Chapter 20: Numerical Integrators for Highly Oscillatory Hamiltonian Systems: A Review
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Chapter title
Numerical Integrators for Highly Oscillatory Hamiltonian Systems: A Review
Chapter number 20
Book title
Analysis, Modeling and Simulation of Multiscale Problems
Published by
Springer, Berlin, Heidelberg , January 2006
DOI 10.1007/3-540-35657-6_20
Book ISBNs
978-3-54-035656-1, 978-3-54-035657-8

David Cohen, Tobias Jahnke, Katina Lorenz, Christian Lubich, Cohen, David, Jahnke, Tobias, Lorenz, Katina, Lubich, Christian

Mendeley readers

The data shown below were compiled from readership statistics for 23 Mendeley readers of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
United Kingdom 2 9%
Switzerland 1 4%
Unknown 20 87%

Demographic breakdown

Readers by professional status Count As %
Student > Ph. D. Student 9 39%
Researcher 7 30%
Professor 3 13%
Lecturer > Senior Lecturer 1 4%
Student > Master 1 4%
Other 1 4%
Unknown 1 4%
Readers by discipline Count As %
Mathematics 16 70%
Physics and Astronomy 3 13%
Materials Science 1 4%
Unknown 3 13%