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