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...
Clasificación: | Libro Electrónico |
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Autores principales: | , |
Autor Corporativo: | |
Formato: | Electrónico eBook |
Idioma: | Inglés |
Publicado: |
New York, NY :
Springer New York : Imprint: Springer,
2008.
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Edición: | 1st ed. 2008. |
Colección: | Texts in Applied Mathematics,
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Temas: | |
Acceso en línea: | Texto Completo |
Tabla de Contenidos:
- 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.