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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...
| Call Number: | Libro Electrónico |
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| Main Authors: | , |
| Corporate Author: | |
| Format: | Electronic eBook |
| Language: | Inglés |
| Published: |
New York, NY :
Springer New York : Imprint: Springer,
2008.
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| Edition: | 1st ed. 2008. |
| Series: | Texts in Applied Mathematics,
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| Subjects: | |
| Online Access: | Texto Completo |
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.