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Analysis, modeling and simulation of multiscale problems

Author: Alexander Mielke
Publisher: Berlin ; New York : Springer, ©2006.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Database:WorldCat
Summary:
The field of multiscale problems occurs in many fields of science, such as microstructures in materials, sharp-interface models, and others. Reporting on the mathematical developments in the DFG Priority programme, this book provides the state-of-the-art on the mathematical foundations of the modeling and the numerical treatment of such problems.
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Analysis, modeling and simulation of multiscale problems.
Berlin : Springer, 2006
(OCoLC)71747740
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Alexander Mielke
ISBN: 3540356568 9783540356561 3540356576 9783540356578
OCLC Number: 77584380
Description: 1 online resource (xvii, 697 pages) : illustrations (some color)
Contents: 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.
Responsibility: Alexander Mielke, editor.
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Abstract:

The field of multiscale problems occurs in many fields of science, such as microstructures in materials, sharp-interface models, and others. Reporting on the mathematical developments in the DFG  Read more...

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