Analysis, Modeling and Simulation of Multiscale Problems (eBook)

Exponential Estimates in Averaging and Homogenisation.- Multiscale Problems in Solidification Processes.- Multiscale Modeling of Epitaxial Growth: From Discrete-Continuum to Continuum Equations.- On Asymptotic Limits of Cahn-Hilliard Systems with Elastic Misfit.- Simulations of Complex Microstructure Formations.- Multiple Scales in Phase Separating Systems with Elastic Misfit.- A General Theory for Elastic Phase Transitions in Crystals.- Relaxation and the Computation of Effective Energies and Microstructures in Solid Mechanics.- Derivation of Elastic Theories for Thin Sheets and the Constraint of Incompressibility.- Domain Walls and Vortices in Thin Ferromagnetic Films.- Wavelet-Based Multiscale Methods for Electronic Structure Calculations.- Multi-Scale Modeling of Quantum Semiconductor Devices.- Electronic States in Semiconductor Nanostructures and Upscaling to Semi-Classical Models.- Shape Optimization of Biomorphic Ceramics with Microstructures by Homogenization Modeling.- Discrete Free Energy Functionals for Elastic Materials with Phase Change.- Continuum Descriptions for the Dynamics in Discrete Lattices: Derivation and Justification.- Wave Trains, Solitons and Modulation Theory in FPU Chains.- On the Effect of Correlations, Fluctuations and Collisions in Ostwald Ripening.- Radiative Friction for Charges Interacting with the Radiation Field: Classical Many-Particle Systems.- Numerical Integrators for Highly Oscillatory Hamiltonian Systems: A Review.- Energy Level Crossings in Molecular Dynamics.- Motion of Electrons in Adiabatically Perturbed Periodic Structures.- Graph Algorithms for Dynamical Systems.- Conditional Averaging for Diffusive Fast-Slow Systems: A Sketch for Derivation.