Tractability of Multivariate Problems

Volume II: Standard Information for Functionals

  • Erich Novak

    University of Jena, Germany
  • Henryk Woźniakowski

    Columbia University, New York, USA, and University of Warsaw, Poland
Tractability of Multivariate Problems cover
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FrontmatterDownload pp. i–v
PrefaceDownload pp. vii–xi
ContentsDownload pp. xiii–xviii
9Discrepancy and Integrationpp. 1–70
10Worst Case: General Linear Functionalspp. 71–145
11Worst Case: Tensor Products and Decomposable Kernelspp. 146–207
12Worst Case: Linear Functionals onWeighted Spacespp. 208–287
13Average Case Settingpp. 288–296
14Probabilistic Settingpp. 297–319
15Smolyak/Sparse Grid Algorithmspp. 320–397
16Multivariate Integration for Korobov and Related Spacespp. 398–486
17Randomized Settingpp. 487–538
18Nonlinear Functionalspp. 539–579
19Further Topicspp. 580–599
20Summary: Uniform Integration for Three Sobolev Spacespp. 600–626
DList of Open Problemspp. 627–631
EErrata for Volume Ipp. 632–633
Bibliographypp. 635–654
Indexpp. 655–657