 | 2012 |
| 34 |  | Guohui Song,
John Riddle,
Gregory E. Fasshauer,
Fred J. Hickernell:
Multivariate interpolation with increasingly flat radial basis functions of finite smoothness.
Adv. Comput. Math. 36(3): 485-501 (2012) |
| 33 |  | Fred J. Hickernell,
Peter Kritzer,
Frances Y. Kuo,
Dirk Nuyens:
Weighted compound integration rules with higher order convergence for all N.
Numerical Algorithms 59(2): 161-183 (2012) |
| 32 |  | Gregory E. Fasshauer,
Fred J. Hickernell,
Henryk Wozniakowski:
On Dimension-independent Rates of Convergence for Function Approximation with Gaussian Kernels.
SIAM J. Numerical Analysis 50(1): 247-271 (2012) |
| 2011 |
| 31 |  | Guohui Song,
Haizhang Zhang,
Fred J. Hickernell:
Reproducing Kernel Banach Spaces with the l1 Norm
CoRR abs/1101.4388: (2011) |
| 30 |  | Ben Niu,
Fred J. Hickernell,
Thomas Müller-Gronbach,
Klaus Ritter:
Deterministic multi-level algorithms for infinite-dimensional integration on RN.
J. Complexity 27(3-4): 331-351 (2011) |
| 2010 |
| 29 |  | Fred J. Hickernell,
Thomas Müller-Gronbach,
Ben Niu,
Klaus Ritter:
Multi-level Monte Carlo algorithms for infinite-dimensional integration on RN.
J. Complexity 26(3): 229-254 (2010) |
| 2009 |
| 28 |  | Kwong-Ip Liu,
Josef Dick,
Fred J. Hickernell:
A multivariate fast discrete Walsh transform with an application to function interpolation.
Math. Comput. 78(267): 1573-1591 (2009) |
| 2006 |
| 27 |  | Keqin Feng,
Lanju Xu,
Fred J. Hickernell:
Linear error-block codes.
Finite Fields and Their Applications 12(4): 638-652 (2006) |
| 26 |  | Rong-Xian Yue,
Fred J. Hickernell:
Strong Tractability of Quasi-Monte Carlo Quadrature Using Nets for Certain Banach Spaces.
SIAM J. Numerical Analysis 44(6): 2559-2583 (2006) |
| 2005 |
| 25 |  | Gensun Fang,
Fred J. Hickernell,
Huan Li:
Approximation on anisotropic Besov classes with mixed norms by standard information.
J. Complexity 21(3): 294-313 (2005) |
| 24 |  | Rong-Xian Yue,
Fred J. Hickernell:
Strong tractability of integration using scrambled Niederreiter points.
Math. Comput. 74(252): 1871-1893 (2005) |
| 23 |  | Fred J. Hickernell,
Ian H. Sloan,
Grzegorz W. Wasilkowski:
A Piecewise Constant Algorithm for Weighted L1 Approximation over Bounded or Unbounded Regions in Rs.
SIAM J. Numerical Analysis 43(3): 1003-1020 (2005) |
| 2004 |
| 22 |  | Kwong-Ip Liu,
Fred J. Hickernell:
A Scalable Low Discrepancy Point Generator for Parallel Computing.
ISPA 2004: 257-262 |
| 21 |  | Stefan Heinrich,
Fred J. Hickernell,
Rong-Xian Yue:
Optimal quadrature for Haar wavelet spaces.
Math. Comput. 73(245): 259-277 (2004) |
| 20 |  | Fred J. Hickernell,
Ian H. Sloan,
Grzegorz W. Wasilkowski:
On tractability of weighted integration over bounded and unbounded regions in Reals.
Math. Comput. 73(248): 1885-1901 (2004) |
| 19 |  | Fred J. Hickernell,
Ian H. Sloan,
Grzegorz W. Wasilkowski:
On strong tractability of weighted multivariate integration.
Math. Comput. 73(248): 1903-1911 (2004) |
| 2003 |
| 18 |  | Hee Sun Hong,
Fred J. Hickernell:
Algorithm 823: Implementing scrambled digital sequences.
ACM Trans. Math. Softw. 29(2): 95-109 (2003) |
| 17 |  | Fred J. Hickernell,
Harald Niederreiter:
The existence of good extensible rank-1 lattices.
J. Complexity 19(3): 286-300 (2003) |
| 16 |  | Fred J. Hickernell:
My dream quadrature rule.
J. Complexity 19(3): 420-427 (2003) |
| 15 |  | Hee Sun Hong,
Fred J. Hickernell,
Gang Wei:
The distribution of the discrepancy of scrambled digital (t, m, s)-nets.
Mathematics and Computers in Simulation 62(3-6): 335-345 (2003) |
| 2002 |
| 14 |  | Rong-Xian Yue,
Fred J. Hickernell:
The Discrepancy and Gain Coefficients of Scrambled Digital Nets.
J. Complexity 18(1): 135-151 (2002) |
| 13 |  | Fred J. Hickernell,
Peter Mathé:
2002 Best Paper Award Committee.
J. Complexity 18(3): 681- (2002) |
| 12 |  | Fred J. Hickernell,
Xiaoqun Wang:
The error bounds and tractability of quasi-Monte Carlo algorithms in infinite dimension.
Math. Comput. 71(240): 1641-1661 (2002) |
| 2001 |
| 11 |  | Stefan Heinrich,
Fred J. Hickernell,
Rong-Xian Yue:
Integration of Multivariate Haar Wavelet Series.
WAA 2001: 99-106 |
| 10 |  | Fred J. Hickernell,
Henryk Wozniakowski:
Special Issue on the Complexity of Multivariate Problems.
J. Complexity 17(4): 586-587 (2001) |
| 9 |  | Fred J. Hickernell,
Henryk Wozniakowski:
The Price of Pessimism for Multidimensional Quadrature.
J. Complexity 17(4): 625-659 (2001) |
| 8 |  | Fred J. Hickernell,
Henryk Wozniakowski:
Tractability of Multivariate Integration for Periodic Functions.
J. Complexity 17(4): 660-682 (2001) |
| 7 |  | Rong-Xian Yue,
Fred J. Hickernell:
Integration and Approximation Based on Scramble Sampling in Arbitrary Dimensions.
J. Complexity 17(4): 881-897 (2001) |
| 6 |  | Jia-Juan Liang,
Kai-Tai Fang,
Fred J. Hickernell,
Runze Li:
Testing multivariate uniformity and its applications.
Math. Comput. 70(233): 337-355 (2001) |
| 2000 |
| 5 |  | Fred J. Hickernell,
Henryk Wozniakowski:
Integration and approximation in arbitrary dimensions.
Adv. Comput. Math. 12(1): 25-58 (2000) |
| 1999 |
| 4 |  | Fred J. Hickernell,
Y. C. Hon:
Radial basis function approximations as smoothing splines.
Applied Mathematics and Computation 102(1): 1-24 (1999) |
| 3 |  | Fred J. Hickernell,
Hee Sun Hong:
The asymptotic efficiency of randomized nets for quadrature.
Math. Comput. 68(226): 767-791 (1999) |
| 1998 |
| 2 |  | Fred J. Hickernell:
A generalized discrepancy and quadrature error bound.
Math. Comput. 67(221): 299-322 (1998) |
| 1996 |
| 1 |  | Fred J. Hickernell:
The Mean Square Discrepancy of Randomized Nets.
ACM Trans. Model. Comput. Simul. 6(4): 274-296 (1996) |