Multiscale Modeling and Simulation in Science [electronic resource] /
Engquist, Björn.editor.
Lötstedt, Per.editor.
Runborg, Olof.editor.
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.
Description based upon print version of record.
Includes bibliographical references.
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.
Computer mathematics.
Physics.
Continuum physics.
Astrophysics.
Chemistry, Physical and theoretical.
Computational Science and Engineering.
Computational Mathematics and Numerical Analysis.
Numerical and Computational Physics, Simulation.
Classical and Continuum Physics.
Astrophysics and Astroparticles.
Theoretical and Computational Chemistry.
Lecture Notes in Computational Science and Engineering