Accuracy of Mathematical Models
Dimension Reduction, Homogenization, and Simplification
Sergey I. Repin
Russian Academy of Sciences, St. Petersburg, Russian FederationStefan A. Sauter
Universität Zürich, Switzerland
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| FrontmatterDownload pp. i–v | |
| ContentsDownload pp. vii–x | |
| PrefaceDownload pp. xi–xvi | |
| 1 | IntroductionDownload pp. 1–23 |
| 2 | Estimates of the distance to exact solutionspp. 25–102 |
| 3 | Dimension reduction modelspp. 103–157 |
| 4 | Model simplificationpp. 159–186 |
| 5 | Elliptic homogenizationpp. 187–249 |
| 6 | Conversion of modelspp. 251–281 |
| 7 | -regularity constant for second-order elliptic problems with nonsmooth coefficientspp. 283–292 |
| Bibliographypp. 293–310 | |
| List of Notationspp. 311–313 | |
| Indexpp. 315–317 |