1. Geometry on Probability Spaces

   • Steve Smale
   • Ding-Xuan Zhou

   OriginalPaper 01 October 2009 Pages: 311 - 323

2. High-Dimensional Menger-Type Curvatures—Part II: d-Separation and a Menagerie of Curvatures

   • Gilad Lerman
   • J. Tyler Whitehouse

   OriginalPaper 30 September 2009 Pages: 325 - 360

3. Construction Algorithms for Good Extensible Lattice Rules

   • Harald Niederreiter
   • Friedrich Pillichshammer

   OriginalPaper 15 August 2009 Pages: 361 - 393

4. Tractability of Multivariate Approximation over a Weighted Unanchored Sobolev Space

   • Arthur G. Werschulz
   • H. Woźniakowski

   OriginalPaper 31 July 2009 Pages: 395 - 421

5. An Adaptive Wavelet Method for Solving High-Dimensional Elliptic PDEs

   • Tammo Jan Dijkema
   • Christoph Schwab
   • Rob Stevenson

   OriginalPaper Open access 16 July 2009 Pages: 423 - 455

6. Optimal Order of Convergence and (In)Tractability of Multivariate Approximation of Smooth Functions

   • Erich Novak
   • Henryk Woźniakowski

   OriginalPaper 03 September 2009 Pages: 457 - 473

7. Lattice Algorithms for Multivariate L _∞ Approximation in the Worst-Case Setting

   • Frances Y. Kuo
   • Grzegorz W. Wasilkowski
   • Henryk Woźniakowski

   OriginalPaper 24 September 2009 Pages: 475 - 493

8. QMC Rules of Arbitrary High Order: Reproducing Kernel Hilbert Space Approach

   • Jan Baldeaux
   • Josef Dick

   OriginalPaper 24 September 2009 Pages: 495 - 527

9. Spline Methods Using Integration Lattices and Digital Nets

   • Xiaoyan Zeng
   • Peter Kritzer
   • Fred J. Hickernell

   OriginalPaper 02 October 2009 Pages: 529 - 555

10. Black Box Low Tensor-Rank Approximation Using Fiber-Crosses

    • Mike Espig
    • Lars Grasedyck
    • Wolfgang Hackbusch

    OriginalPaper Open access 08 October 2009 Pages: 557 - 597

11. Tensor-Structured Preconditioners and Approximate Inverse of Elliptic Operators in ℝ ^d

    • Boris N. Khoromskij

    OriginalPaper Open access 03 September 2009 Pages: 599 - 620

12. Results and Questions on a Nonlinear Approximation Approach for Solving High-dimensional Partial Differential Equations

    • C. Le Bris
    • T. Lelièvre
    • Y. Maday

    OriginalPaper 06 October 2009 Pages: 621 - 651

13. On a Constructive Proof of Kolmogorov’s Superposition Theorem

    • Jürgen Braun
    • Michael Griebel

    OriginalPaper 16 May 2009 Pages: 653 - 675