Grigoris Pavliotis,
Andrew Stuart
Springer New York
2008e druk, 2008
9780387738284
Multiscale Methods
Averaging and Homogenization
Specificaties
Gebonden, 310 blz.
|
Engels
Springer New York |
2008e druk, 2008
ISBN13: 9780387738284
Rubricering
Onderdeel van serie
Texts in Applied Mathematics
Levertijd ongeveer 9 werkdagen
Gratis verzonden
Samenvatting
This introduction to multiscale methods gives you a broad overview of the methods’ many uses and applications. The book begins by setting the theoretical foundations of the methods and then moves on to develop models and prove theorems. Extensive use of examples shows how to apply multiscale methods to solving a variety of problems. Exercises then enable you to build your own skills and put them into practice. Extensions and generalizations of the results presented in the book, as well as references to the literature, are provided in the Discussion and Bibliography section at the end of each chapter.With the exception of Chapter One, all chapters are supplemented with exercises.
Specificaties
ISBN13:9780387738284
Taal:Engels
Bindwijze:gebonden
Aantal pagina's:310
Uitgever:Springer New York
Druk:2008
Inhoudsopgave
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.