Lecture Notes in Computational Science and Engineering

By: BjÃ¶rn Engquist (Editor), Per LÃ¶tstedt (Editor), Olof Runborg (Editor)

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Paperback | 24 May 2005

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Multiscale problems naturally pose severe challenges for computational science and engineering. The smaller scales must be well resolved over the range of the larger scales. Challenging multiscale problems are very common and are found in e.g. materials science, fluid mechanics, electrical and mechanical engineering. Homogenization, subgrid modelling, heterogeneous multiscale methods, multigrid, multipole, and adaptive algorithms are examples of methods to tackle these problems. This volume is an overview of current mathematical and computational methods for problems with multiple scales with applications in chemistry, physics and engineering.

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You Can Find This Book In

Non-Fiction Science Science in General Mathematics Applied Mathematics Mathematical Modelling Engineering & Technology Technology in General Maths for Engineers Engineering in General Mechanical Engineering & Materials Mechanical Engineering

Physics Classical Mathematics Calculus & Mathematical Analysis Numerical Analysis

Multiscale discontinuous Galerkin methods for elliptic problems with multiple scales	p. 1
Discrete network approximation for highly-packed composites with irregular geometry in three dimensions	p. 21
Adaptive Monte Carlo algorithms for stopped diffusion	p. 59
The heterogeneous multi-scale method for homogenization problems	p. 89
A coarsening multigrid method for flow in heterogeneous porous media	p. 111
On the modeling of small geometric features in computational electromagnetics	p. 133
Coupling PDEs and SDEs : the illustrative example of the multiscale simulation of viscoelastic flows	p. 149
Adaptive submodeling for linear elasticity problems with multiscale geometric features	p. 169
Adaptive variational multiscale methods based on a posteriori error estimation : duality techniques for elliptic problems	p. 181
Multipole solution of electromagnetic scattering problems with many, parameter dependent incident waves	p. 195
Introduction to normal multiresolution approximation	p. 205
Combining the gap-tooth scheme with projective integration : patch dynamics	p. 225
Multiple time scale numerical methods for the inverted pendulum problem	p. 241
Multiscale homogenization of the Navier-Stokes equation	p. 263
Numerical simulations of the dynamics of fiber suspensions	p. 275
Table of Contents provided by Blackwell. All Rights Reserved.

Lecture Notes in Computational Science and Engineering

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Paperback

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