Accuracy of Mathematical Models

Dimension Reduction, Homogenization, and Simplification

  • Sergey I. Repin

    Russian Academy of Sciences, St. Petersburg, Russian Federation
  • Stefan A. Sauter

    Universität Zürich, Switzerland
Accuracy of Mathematical Models cover
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FrontmatterDownload pp. i–v
ContentsDownload pp. vii–x
PrefaceDownload pp. xi–xvi
1IntroductionDownload pp. 1–23
2Estimates of the distance to exact solutionspp. 25–102
3Dimension reduction modelspp. 103–157
4Model simplificationpp. 159–186
5Elliptic homogenizationpp. 187–249
6Conversion of modelspp. 251–281
7W1,pW^{1,p}-regularity constant for second-order elliptic problems with nonsmooth coefficientspp. 283–292
Bibliographypp. 293–310
List of Notationspp. 311–313
Indexpp. 315–317