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Analysis, Modeling and Simulation of Multiscale Problems

Edited by Alexander Mielke ()

in Springer Books from Springer

Date: 2006
ISBN: 978-3-540-35657-8
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Chapters in this book:

Exponential Estimates in Averaging and Homogenisation
Karsten Matthies
Multiscale Problems in Solidification Processes
Christof Eck, Harald Garcke and Björn Stinner
Multiscale Modeling of Epitaxial Growth: From Discrete-Continuum to Continuum Equations
Lev Balykov, Vladimir Chalupecky, Christof Eck, Heike Emmerich, Ganeshram Krishnamoorthy, Andreas Rätz and Axel Voigt
On Asymptotic Limits of Cahn-Hilliard Systems with Elastic Misfit
Harald Garcke and David Jung Chul Kwak
Simulations of Complex Microstructure Formations
Britta Nestler and Frank Wendler
Multiple Scales in Phase Separating Systems with Elastic Misfit
Harald Garcke, Martin Lenz, Barbara Niethammer, Martin Rumpf and Ulrich Weikard
A General Theory for Elastic Phase Transitions in Crystals
Steffen Arnrich, Thomas Blesgen and Stephan Luckhaus
Relaxation and the Computation of Effective Energies and Microstructures in Solid Mechanics
Sören Bartels, Carsten Carstensen, Sergio Conti, Klaus Hackl, Ulrich Hoppe and Antonio Orlando
Derivation of Elastic Theories for Thin Sheets and the Constraint of Incompressibility
Sergio Conti and Georg Dolzmann
Domain Walls and Vortices in Thin Ferromagnetic Films
Matthias Kurzke, Christof Melcher and Roger Moser
Wavelet-Based Multiscale Methods for Electronic Structure Calculations
Heinz-Jürgen Flad, Wolfgang Hackbusch, Hongjun Luo and Dietmar Kolb
Multi-Scale Modeling of Quantum Semiconductor Devices
Anton Arnold and Ansgar Jüngel
Electronic States in Semiconductor Nanostructures and Upscaling to Semi-Classical Models
Thomas Koprucki, Hans-Christoph Kaiser and Jürgen Fuhrmann
Shape Optimization of Biomorphic Ceramics with Microstructures by Homogenization Modeling
Ronald H. W. Hoppe and Svetozara I. Petrova
Discrete Free Energy Functionals for Elastic Materials with Phase Change
Thomas Blesgen, Stephan Luckhaus and Luca Mugnai
Continuum Descriptions for the Dynamics in Discrete Lattices: Derivation and Justification
Johannes Giannoulis, Michael Herrmann and Alexander Mielke
Wave Trains, Solitons and Modulation Theory in FPU Chains
Wolfgang Dreyer, Michael Herrmann and Jens D. M. Rademacher
On the Effect of Correlations, Fluctuations and Collisions in Ostwald Ripening
Barbara Niethammer, Felix Otto and Juan J. L. Velázquez
Radiative Friction for Charges Interacting with the Radiation Field: Classical Many-Particle Systems
Sebastian Bauer and Markus Kunze
Numerical Integrators for Highly Oscillatory Hamiltonian Systems: A Review
David Cohen, Tobias Jahnke, Katina Lorenz and Christian Lubich
Energy Level Crossings in Molecular Dynamics
Folkmar Bornemann, Caroline Lasser and Torben Swart
Motion of Electrons in Adiabatically Perturbed Periodic Structures
Gianluca Panati, Herbert Spohn and Stefan Teufel
Graph Algorithms for Dynamical Systems
Michael Dellnitz, Mirko Hessel- von Molo, Philipp Metzner, Robert Preis and Christof Schütte
Conditional Averaging for Diffusive Fast-Slow Systems: A Sketch for Derivation
Jessika Walter and Christof Schütte

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DOI: 10.1007/3-540-35657-6

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