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...
保存先:
| 主要な著者: | , |
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| フォーマット: | Livre numérique |
| 言語: | Anglais |
| 出版事項: |
New York, NY :
Springer New York
[20..].
Cham : Springer Nature |
| 版: | 1st ed. 2008. |
| シリーズ: | Texts in Applied Mathematics
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| 主題: | |
| オンライン･アクセス: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| 注記: |
L'impression du document génère 314 p. Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Multiscale methods, averaging and homogenization, Grigorios A. Pavliotis, Andrew M. Stuart, 2008, New York, Springer, 1 vol. (XVIII-307 p.), Texts in applied mathematics, 978-0-387-73828-4 • Computational mechanics of non linear response of shells, W. B. Kratzig, E. Onate, 1990, Berlin, Springer, VIII-405 p., Springer series in computational mechanics, 3-540-52035-X • Multiscale methods, averaging and homogenization, Grigorios A. Pavliotis, Andrew M. Stuart, 2008, New York, Springer, 1 vol. (XVIII-307 p.), Texts in applied mathematics, 978-0-387-73828-4 • Multiscale methods, averaging and homogenization, Grigorios A. Pavliotis, Andrew M. Stuart, 2008, New York, Springer, 1 vol. (XVIII-307 p.), Texts in applied mathematics, 978-0-387-73828-4 |
| 要約: | 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 possess multiple scales, via perturbation expansions; differential equations and stochastic processes are studied in one unified framework. The book concludes with an overview of a range of theoretical tools used to justify the simplified models derived via the perturbation expansions. The presentation of the material is particularly suited to the range of mathematicians, scientists and engineers who want to exploit multiscale methods in applications. Extensive use of examples shows how to apply multiscale methods to solving a variety of problems. Exercises then enable readers to build their 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. All of the twenty-one chapters are supplemented with exercises. Grigorios Pavliotis is a Lecturer of Mathematics at Imperial College London. Andrew Stuart is a Professor of Mathematics at Warwick University |
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| 記述事項: | L'impression du document génère 314 p. Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| 書誌: | Bibliogr. Index |
| ISBN: | 9780387738291 |
| ISSN: | 2196-9949 |
| アクセス: | Accès en ligne pour les établissements français bénéficiaires des licences nationales Accès soumis à abonnement pour tout autre établissement Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 |