ANALYSIS, MODELING, AND SIMULATION OF MULTISCALE PROBLEMS
Exponential Estimates in Averaging and Homogenisation 1 Multiscale Problems in Solidification Processes 21 Multiscale Modeling of Epitaxial Growth: From Discrete-Continuum to Continuum Equations 65 On Asymptotic Limits of Cahn-Hilliard Systems with Elastic Misfit 87 Simulations of Complex Microstructure Formations 113 Multiple Scales in Phase Separating Systems with Elastic Misfit 153 A General Theory for Elastic Phase Transitions in Crystals 179 Relaxation and the Computation of Effective Energies and Microstructures in Solid Mechanics 197 Derivation of Elastic Theories for Thin Sheets and the Constraint of Incompressibility 225 Domain Walls and Vortices in Thin Ferromagnetic Films 249 Wavelet-Based Multiscale Methods for Electronic Structure Calculations 299 Multi-Scale Modeling of Quantum Semiconductor Devices 331 Electronic States in Semiconductor Nanostructures and Upscaling to Semi-Classical Models 365 Shape Optimization of Biomorphic Ceramics with Microstructures by Homogenization Modeling 395 Discrete Free Energy Functionals for Elastic Materials with Phase Change 425 Continuum Descriptions for the Dynamics in Discrete Lattices: Derivation and Justification 435 Wave Trains, Solitons and Modulation Theory in FPU Chains 467 On the Effect of Correlations, Fluctuations and Collisions in Ostwald Ripening 501 Radiative Friction for Charges Interacting with the Radiation Field: Classical Many-Particle Systems 531 Numerical Integrators for Highly Oscillatory Hamiltonian Systems: a Review 553 Energy Level Crossings in Molecular Dynamics 577