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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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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Pavliotis, Grigoris (Autor), Stuart, Andrew (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: New York, NY : Springer New York : Imprint: Springer, 2008.
Edición:1st ed. 2008.
Colección:Texts in Applied Mathematics,
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.