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Fred J. Hickernell
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2020 – today
- 2024
- [j37]Onyekachi Emenike, Fred J. Hickernell, Peter Kritzer:
A unified treatment of tractability for approximation problems defined on Hilbert spaces. J. Complex. 84: 101856 (2024) - 2023
- [i7]Aleksei G. Sorokin, Aleksandra Pachalieva
, Daniel O'Malley, James M. Hyman, Fred J. Hickernell, Nicolas W. Hengartner:
Computationally Efficient and Error Aware Surrogate Construction for Numerical Solutions of Subsurface Flow Through Porous Media. CoRR abs/2310.13765 (2023) - [i6]Onyekachi Emenike, Fred J. Hickernell, Peter Kritzer:
A unified treatment of tractability for approximation problems defined on Hilbert spaces. CoRR abs/2310.17777 (2023) - [i5]Sou-Cheng T. Choi, Yuhan Ding, Fred J. Hickernell, Rathinavel Jagadeeswaran, Aleksei G. Sorokin:
Challenges in Developing Great Quasi-Monte Carlo Software. CoRR abs/2311.06162 (2023) - 2021
- [i4]Sou-Cheng T. Choi, Fred J. Hickernell, R. Jagadeeswaran, Michael J. McCourt, Aleksei G. Sorokin:
Quasi-Monte Carlo Software. CoRR abs/2102.07833 (2021) - 2020
- [c6]Sou-Cheng T. Choi, Fred J. Hickernell, Rathinavel Jagadeeswaran, Michael J. McCourt, Aleksei G. Sorokin:
Quasi-Monte Carlo Software. MCQMC 2020: 23-47
2010 – 2019
- 2019
- [j36]R. Jagadeeswaran, Fred J. Hickernell
Fast automatic Bayesian cubature using lattice sampling. Stat. Comput. 29(6): 1215-1229 (2019) - 2017
- [j35]Sou-Cheng T. Choi, Yuhan Ding, Fred J. Hickernell
Local adaption for approximation and minimization of univariate functions. J. Complex. 40: 17-33 (2017) - 2015
- [i3]Sou-Cheng T. Choi, Yuhan Ding, Fred J. Hickernell, Lan Jiang, Lluís Antoni Jiménez Rugama, Xin Tong, Yizhi Zhang, Xuan Zhou:
GAIL - Guaranteed Automatic Integration Library in MATLAB: Documentation for Version 2.1. CoRR abs/1503.06544 (2015) - 2014
- [j34]Nicholas Clancy, Yuhan Ding, Caleb Hamilton, Fred J. Hickernell
The cost of deterministic, adaptive, automatic algorithms: Cones, not balls. J. Complex. 30(1): 21-45 (2014) - [c5]Fred J. Hickernell
Reliable Adaptive Cubature Using Digital Sequences. MCQMC 2014: 367-383 - [c4]Lluís Antoni Jiménez Rugama, Fred J. Hickernell
Adaptive Multidimensional Integration Based on Rank-1 Lattices. MCQMC 2014: 407-422 - [c3]Xuan Zhou, Fred J. Hickernell
Tractability of Function Approximation with Product Kernels. MCQMC 2014: 583-598 - 2012
- [j33]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) - [j32]Fred J. Hickernell
Weighted compound integration rules with higher order convergence for all N. Numer. Algorithms 59(2): 161-183 (2012) - [j31]Gregory E. Fasshauer, Fred J. Hickernell
On Dimension-independent Rates of Convergence for Function Approximation with Gaussian Kernels. SIAM J. Numer. Anal. 50(1): 247-271 (2012) - 2011
- [j30]Ben Niu, Fred J. Hickernell
Deterministic multi-level algorithms for infinite-dimensional integration on RN. J. Complex. 27(3-4): 331-351 (2011) - [i2]Guohui Song, Haizhang Zhang, Fred J. Hickernell:
Reproducing Kernel Banach Spaces with the l1 Norm. CoRR abs/1101.4388 (2011) - 2010
- [j29]Fred J. Hickernell
Multi-level Monte Carlo algorithms for infinite-dimensional integration on RN. J. Complex. 26(3): 229-254 (2010)
2000 – 2009
- 2009
- [j28]Kwong-Ip Liu, Josef Dick
A multivariate fast discrete Walsh transform with an application to function interpolation. Math. Comput. 78(267): 1573-1591 (2009) - [i1]Fred J. Hickernell, Thomas Müller-Gronbach, Ben Niu, Klaus Ritter:
Evaluating Expectations of Functionals of Brownian Motions: a Multilevel Idea. Algorithms and Complexity for Continuous Problems 2009 - 2006
- [j27]Keqin Feng, Lanju Xu, Fred J. Hickernell
Linear error-block codes. Finite Fields Their Appl. 12(4): 638-652 (2006) - [j26]Rong-Xian Yue, Fred J. Hickernell
Strong Tractability of Quasi-Monte Carlo Quadrature Using Nets for Certain Banach Spaces. SIAM J. Numer. Anal. 44(6): 2559-2583 (2006) - 2005
- [j25]Gensun Fang, Fred J. Hickernell
Approximation on anisotropic Besov classes with mixed norms by standard information. J. Complex. 21(3): 294-313 (2005) - [j24]Rong-Xian Yue, Fred J. Hickernell
Strong tractability of integration using scrambled Niederreiter points. Math. Comput. 74(252): 1871-1893 (2005) - [j23]Fred J. Hickernell
A Piecewise Constant Algorithm for Weighted L1 Approximation over Bounded or Unbounded Regions in Rs. SIAM J. Numer. Anal. 43(3): 1003-1020 (2005) - 2004
- [j22]Stefan Heinrich, Fred J. Hickernell
Optimal quadrature for Haar wavelet spaces. Math. Comput. 73(245): 259-277 (2004) - [j21]Fred J. Hickernell
On tractability of weighted integration over bounded and unbounded regions in Reals. Math. Comput. 73(248): 1885-1901 (2004) - [j20]Fred J. Hickernell
On strong tractability of weighted multivariate integration. Math. Comput. 73(248): 1903-1911 (2004) - [c2]Kwong-Ip Liu, Fred J. Hickernell:
A Scalable Low Discrepancy Point Generator for Parallel Computing. ISPA 2004: 257-262 - 2003
- [j19]Fred J. Hickernell
The existence of good extensible rank-1 lattices. J. Complex. 19(3): 286-300 (2003) - [j18]Fred J. Hickernell
My dream quadrature rule. J. Complex. 19(3): 420-427 (2003) - [j17]Hee Sun Hong, Fred J. Hickernell
The distribution of the discrepancy of scrambled digital (t, m, s)-nets. Math. Comput. Simul. 62(3-6): 335-345 (2003) - [j16]Hee Sun Hong, Fred J. Hickernell
Algorithm 823: Implementing scrambled digital sequences. ACM Trans. Math. Softw. 29(2): 95-109 (2003) - 2002
- [j15]Rong-Xian Yue, Fred J. Hickernell
The Discrepancy and Gain Coefficients of Scrambled Digital Nets. J. Complex. 18(1): 135-151 (2002) - [j14]Fred J. Hickernell, Peter Mathé:
2002 Best Paper Award Committee. J. Complex. 18(3): 681- (2002) - [j13]Fred J. Hickernell
The error bounds and tractability of quasi-Monte Carlo algorithms in infinite dimension. Math. Comput. 71(240): 1641-1661 (2002) - 2001
- [j12]Fred J. Hickernell
Special Issue on the Complexity of Multivariate Problems. J. Complex. 17(4): 586-587 (2001) - [j11]Fred J. Hickernell
The Price of Pessimism for Multidimensional Quadrature. J. Complex. 17(4): 625-659 (2001) - [j10]Fred J. Hickernell
Tractability of Multivariate Integration for Periodic Functions. J. Complex. 17(4): 660-682 (2001) - [j9]Rong-Xian Yue, Fred J. Hickernell
Integration and Approximation Based on Scramble Sampling in Arbitrary Dimensions. J. Complex. 17(4): 881-897 (2001) - [j8]Jia-Juan Liang, Kai-Tai Fang, Fred J. Hickernell, Runze Li:
Testing multivariate uniformity and its applications. Math. Comput. 70(233): 337-355 (2001) - [c1]Stefan Heinrich, Fred J. Hickernell, Rong-Xian Yue:
Integration of Multivariate Haar Wavelet Series. WAA 2001: 99-106 - 2000
- [j7]Fred J. Hickernell
Integration and approximation in arbitrary dimensions. Adv. Comput. Math. 12(1): 25-58 (2000) - [j6]Fred J. Hickernell
The Mean Square Discrepancy of Scrambled (t, s)-Sequences. SIAM J. Numer. Anal. 38(4): 1089-1112 (2000) - [j5]Fred J. Hickernell
Extensible Lattice Sequences for Quasi-Monte Carlo Quadrature. SIAM J. Sci. Comput. 22(3): 1117-1138 (2000)
1990 – 1999
- 1999
- [j4]Fred J. Hickernell
Radial basis function approximations as smoothing splines. Appl. Math. Comput. 102(1): 1-24 (1999) - [j3]Fred J. Hickernell, Hee Sun Hong:
The asymptotic efficiency of randomized nets for quadrature. Math. Comput. 68(226): 767-791 (1999) - 1998
- [j2]Fred J. Hickernell
A generalized discrepancy and quadrature error bound. Math. Comput. 67(221): 299-322 (1998) - 1996
- [j1]Fred J. Hickernell
The Mean Square Discrepancy of Randomized Nets. ACM Trans. Model. Comput. Simul. 6(4): 274-296 (1996)
Coauthor Index
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