Analysis, modeling and simulation of multiscale problems

L etude approfondie de la nature estlasourcelaplusf econde des d ecouvertes math ematiques. J.B.J. Fourier (1768 1830) Recent technological advances allow us to study and manipulate matter on the atomic scale.Thus, the traditionalborders between mechanics,physics and chemistry seem to disappear and...

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Päätekijät: Mielke, Alexander, Mielke, Alexander, 1958- (Tekijä)
Aineistotyyppi: Livre numérique
Kieli:Anglais
Julkaistu: Berlin, Heidelberg : Springer Berlin Heidelberg : Springer e-books [20..].
Cham : Springer Nature
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Linkit:Accès sur la plateforme de l'éditeur
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Huomautus: Description d'après consultation du 09 mars 2011
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Edition sous un autre format:• Analysis, modeling and simulation of multiscale problems, Alexander Mielke, editor, Berlin, Springer, 2006, 1 vol. (xvii-697 p.), 3-540-35656-8
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100 1 |a Mielke, Alexander. 
245 1 0 |a Analysis, modeling and simulation of multiscale problems   |c edited by Alexander Mielke. 
260 |a Berlin, Heidelberg :  |b Springer Berlin Heidelberg :  |b Springer e-books. 
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500 |a Description d'après consultation du 09 mars 2011 
500 |a Archives Springer e-books (Licence nationale) 
500 |a Archives Springer e-books (Licence nationale) 
504 |a Bibliogr. Index 
505 1 |a 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 
506 |a Accès en ligne pour les établissements français bénéficiaires des licences nationales 
506 |a Accès soumis à abonnement pour tout autre établissement 
506 |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 
520 |a L etude approfondie de la nature estlasourcelaplusf econde des d ecouvertes math ematiques. J.B.J. Fourier (1768 1830) Recent technological advances allow us to study and manipulate matter on the atomic scale.Thus, the traditionalborders between mechanics,physics and chemistry seem to disappear and new applications in biology emanate. However, modeling matter on the atomistic scale ab initio, i.e., starting from the quantum level, is only possible for very small, isolated molecules. More- 20 over, the study of mesoscopic properties of an elastic solid modeled by 10 atoms treated as point particles is still out of reach for modern computers. Hence, the derivation of coarse grained models from well accepted ?ne-scale models is one of the most challenging ?elds. A proper understanding of the interactionofe?ects ondi?erentspatialandtemporalscalesis offundamental importance for the e?ective description of such structures. The central qu- tion arises as to which information from the small scales is needed to describe the large-scale e?ects correctly. Basedonexistingresearche?ortsintheGermanmathematicalcommunity we proposed to the Deutsche Forschungsgemeinschaft (DFG) to strengthen the mathematical basis for attacking such problems. In May 1999 the DFG decided to establish the DFG Priority Program (SPP 1095) Analysis, Modeling and Simulation of Multiscale Problems 
650 |a Analyse multiéchelle 
650 |a Analyse multiéchelle  |x Modèles mathématiques 
700 1 |a Mielke, Alexander,  |d 1958-  |4 aut 
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