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.
Author(s): Jørg E. Aarnes, Knut—Andreas Lie, Vegard Kippe, Stein Krogstad (auth.), Björn Engquist, Per Lötstedt, Olof Runborg (eds.)
Series: Lecture Notes in Computational Science and Engineering 66
Edition: 1
Publisher: Springer-Verlag Berlin Heidelberg
Year: 2009
Language: English
Pages: 320
Tags: Computational Science and Engineering;Computational Mathematics and Numerical Analysis;Numerical and Computational Methods;Mechanics, Fluids, Thermodynamics;Astrophysics;Theoretical and Computational Chemistry
Front Matter....Pages i-xiii
Multiscale Methods for Subsurface Flow....Pages 3-48
Multiscale Modelling of Complex Fluids: A Mathematical Initiation....Pages 49-137
Fast Algorithms for Boundary Integral Equations....Pages 139-193
Wavelets andWavelet Based Numerical Homogenization....Pages 195-235
Multiscale Computations for Highly Oscillatory Problems....Pages 237-287
Quantum Mechanics/Classical Mechanics Modeling of Biological Systems....Pages 291-294
Multiple Scales in Solid State Physics....Pages 295-298
Climate Sensitivity and Variability Examined in a Global Climate Model....Pages 299-302
Coarse-scale Modeling of Flow in Gas-injection Processes for Enhanced Oil Recovery....Pages 303-306
Photo-Ionization Dynamics Simulation....Pages 307-310
Time Scales in Molecular Reaction Dynamics....Pages 311-316
Complex Band Structures of Spintronics Materials....Pages 317-320
Back Matter....Pages 321-326
