Multiscale Modeling and Simulation in Science

ISBN-13: 9783540888567 / Angielski / Miękka / 2008 / 320 str.

Bjorn Engquist;Per Lötstedt;Olof Runborg

Opis

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.

Spis treści

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.