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Multiscale Methods Averaging and Homogenization

This introduction to multiscale methods gives readers a broad overview of the many uses and applications of the methods. The book begins by setting the theoretical foundations of the subject area, and moves on to develop a unified approach to the simplification of a wide range of problems which poss...

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Bibliographic Details
Main Authors: Pavliotis, Grigoris, Stuart, Andrew (Author)
Format: eBook
Language:English
Published: New York, NY Springer New York 2008, 2008
Edition:1st ed. 2008
Series:Texts in Applied Mathematics
Subjects:
Engineering Mathematics
Mathematical Analysis
Mathematics / Data Processing
Probability Theory
Analysis
Computational Science And Engineering
Mathematical Physics
Engineering / Data Processing
Differential Equations
Mathematical And Computational Engineering Applications
Mathematical Methods In Physics
Probabilities
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Table of Contents:
  • Background
  • Analysis
  • Probability Theory and Stochastic Processes
  • Ordinary Differential Equations
  • Markov Chains
  • Stochastic Differential Equations
  • Partial Differential Equations
  • Perturbation Expansions
  • Invariant Manifolds for ODEs
  • Averaging for Markov Chains
  • Averaging for ODEs and SDEs
  • Homogenization for ODEs and SDEs
  • Homogenization for Elliptic PDEs
  • Homogenization for Parabolic PDEs
  • Averaging for Linear Transport and Parabolic PDEs
  • Theory
  • Invariant Manifolds for ODEs: The Convergence Theorem
  • Averaging for Markov Chains: The Convergence Theorem
  • Averaging for SDEs: The Convergence Theorem
  • Homogenization for SDEs: The Convergence Theorem
  • Homogenization for Elliptic PDEs: The Convergence Theorem
  • Homogenization for Elliptic PDEs: The Convergence Theorem
  • Averaging for Linear Transport and Parabolic PDEs: The Convergence Theorem

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