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Multiscale Modeling and Simulation in Science [electronic resource] /edited by Björn Engquist, Per Lötstedt, Olof Runborg.

by Engquist, Björn [editor.]; Lötstedt, Per [editor.]; Runborg, Olof [editor.]; SpringerLink (Online service).
Material type: materialTypeLabelBookSeries: Lecture Notes in Computational Science and Engineering: 66Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 2009.Description: online resource.ISBN: 9783540888574.Subject(s): Mathematics | Chemistry | Computer science -- Mathematics | Computer science | Physics | Thermodynamics | Astrophysics | Mathematics | Computational Science and Engineering | Computational Mathematics and Numerical Analysis | Numerical and Computational Methods | Mechanics, Fluids, Thermodynamics | Astrophysics | Theoretical and Computational ChemistryDDC classification: 004 Online resources: Click here to access online
Contents:
Tutorials -- Multiscale Methods for Subsurface Flow -- Multiscale Modelling of Complex Fluids: A Mathematical Initiation -- Fast Algorithms for Boundary Integral Equations -- Wavelets andWavelet Based Numerical Homogenization -- Multiscale Computations for Highly Oscillatory Problems -- Projects -- Quantum Mechanics/Classical Mechanics Modeling of Biological Systems -- Multiple Scales in Solid State Physics -- Climate Sensitivity and Variability Examined in a Global Climate Model -- Coarse-scale Modeling of Flow in Gas-injection Processes for Enhanced Oil Recovery -- Photo-Ionization Dynamics Simulation -- Time Scales in Molecular Reaction Dynamics -- Complex Band Structures of Spintronics Materials.
In: Springer eBooksSummary: This book contains lecture notes of current development in multiscale modeling, computations and applications. It covers fundamental mathematical theory, numerical algorithms as well as practical computational advice for analysing single and multiphysics models containing a variety of scales in time and space. Complex fluids, porous media flow and oscillatory dynamical systems are treated in some extra depth, as well as tools like analytical and numerical homogenization, fast multipole methods and wavelets. The text includes well designed exercises and project reports on different applications such as astrophysics, computational chemistry, porous media flow and climate change.
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Tutorials -- Multiscale Methods for Subsurface Flow -- Multiscale Modelling of Complex Fluids: A Mathematical Initiation -- Fast Algorithms for Boundary Integral Equations -- Wavelets andWavelet Based Numerical Homogenization -- Multiscale Computations for Highly Oscillatory Problems -- Projects -- Quantum Mechanics/Classical Mechanics Modeling of Biological Systems -- Multiple Scales in Solid State Physics -- Climate Sensitivity and Variability Examined in a Global Climate Model -- Coarse-scale Modeling of Flow in Gas-injection Processes for Enhanced Oil Recovery -- Photo-Ionization Dynamics Simulation -- Time Scales in Molecular Reaction Dynamics -- Complex Band Structures of Spintronics Materials.

This book contains lecture notes of current development in multiscale modeling, computations and applications. It covers fundamental mathematical theory, numerical algorithms as well as practical computational advice for analysing single and multiphysics models containing a variety of scales in time and space. Complex fluids, porous media flow and oscillatory dynamical systems are treated in some extra depth, as well as tools like analytical and numerical homogenization, fast multipole methods and wavelets. The text includes well designed exercises and project reports on different applications such as astrophysics, computational chemistry, porous media flow and climate change.

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