The Resource Analysis, Modeling and Simulation of Multiscale Problems, edited by Alexander Mielke, (electronic resource)

Analysis, Modeling and Simulation of Multiscale Problems, edited by Alexander Mielke, (electronic resource)

Label
Analysis, Modeling and Simulation of Multiscale Problems
Title
Analysis, Modeling and Simulation of Multiscale Problems
Statement of responsibility
edited by Alexander Mielke
Contributor
Editor
Editor
Subject
Language
  • eng
  • eng
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
Dewey number
515
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsedt
IlpiN-AHDag
Language note
English
LC call number
QA71-90
Literary form
non fiction
Nature of contents
dictionaries
http://library.link/vocab/relatedWorkOrContributorName
Mielke, Alexander.
http://library.link/vocab/subjectName
  • Computer science
  • Differential equations, partial
  • Numerical analysis
  • Computational Mathematics and Numerical Analysis
  • Partial Differential Equations
  • Numerical Analysis
Label
Analysis, Modeling and Simulation of Multiscale Problems, edited by Alexander Mielke, (electronic resource)
Instantiates
Publication
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references
Carrier category
online resource
Carrier category code
cr
Content category
text
Content type code
txt
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
Dimensions
unknown
Edition
1st ed. 2006.
Extent
1 online resource (711 p.)
Form of item
online
Isbn
9781280635366
Media category
computer
Media type code
c
Other control number
10.1007/3-540-35657-6
Specific material designation
remote
System control number
  • (CKB)1000000000282729
  • (EBL)323058
  • (OCoLC)262693799
  • (SSID)ssj0000102999
  • (PQKBManifestationID)11125048
  • (PQKBTitleCode)TC0000102999
  • (PQKBWorkID)10061007
  • (PQKB)11007337
  • (DE-He213)978-3-540-35657-8
  • (MiAaPQ)EBC323058
  • (EXLCZ)991000000000282729
Label
Analysis, Modeling and Simulation of Multiscale Problems, edited by Alexander Mielke, (electronic resource)
Publication
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references
Carrier category
online resource
Carrier category code
cr
Content category
text
Content type code
txt
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
Dimensions
unknown
Edition
1st ed. 2006.
Extent
1 online resource (711 p.)
Form of item
online
Isbn
9781280635366
Media category
computer
Media type code
c
Other control number
10.1007/3-540-35657-6
Specific material designation
remote
System control number
  • (CKB)1000000000282729
  • (EBL)323058
  • (OCoLC)262693799
  • (SSID)ssj0000102999
  • (PQKBManifestationID)11125048
  • (PQKBTitleCode)TC0000102999
  • (PQKBWorkID)10061007
  • (PQKB)11007337
  • (DE-He213)978-3-540-35657-8
  • (MiAaPQ)EBC323058
  • (EXLCZ)991000000000282729

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