Numerical analysis of multiscale computations :

Numerical analysis of multiscale computations : proceedings of a winter workshop at the Banff International Research Station 2009 / Björn Engquist, Olof Runborg, Yen-Hsi R. Tsai, editors. - Berlin ; New York : Springer, c2012. - x, 420 pages : illustration (some colors) ; 24 cm. - Lecture notes in computational science and engineering, 82 1439-7358 ; .

International conference proceedings.

Includes bibliographical references.

Explicit Methods for Stiff Stochastic Differential Equations -- Oscillatory Systems with Three Separated Time Scales: Analysis and Computation -- Variance Reduction in Stochastic Homogenization: The Technique of Antithetic Variables -- A Stroboscopic Numerical Method for Highly Oscillatory Problems -- The Microscopic Origin of the Macroscopic Dielectric Permittivity of Crystals: A Mathematical Viewpoint.

This book is a snapshot of current research 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, and fast multipole method.

9783642219429


Numerical analysis--Congresses.
Multiscale modeling--Congresses.
Computer science--Mathematics
Science--Computer simulation

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