Edit Profile (opens in new tab) Hickernell, Fred J. Compute Distance To: Compute Author ID: hickernell.fred-j Published as: Hickernell, Fred J.; Hickernell, F. J.; Hickernell, Fred more...less External Links: MGP Documents Indexed: 97 Publications since 1983 3 Contributions as Editor Co-Authors: 69 Co-Authors with 85 Joint Publications 2,211 Co-Co-Authors all top 5 Co-Authors 15 single-authored 10 Yue, Rongxian 8 Woźniakowski, Henryk 6 Hong, Hee Sun 5 Fang, Kai-Tai 5 Jiménez Rugama, Lluís Antoni 5 Sloan, Ian Hugh 5 Wasilkowski, Grzegorz W. 4 Fasshauer, Gregory E. 4 Kritzer, Peter 4 Liu, Min-Qian 4 Zeng, Xiaoyan 3 An, Hongzhi 3 Ding, Yuhan 3 Liang, Jiajuan 3 Niu, Ben 3 Zhu, Lixing 2 Ai, Mingyao 2 Dick, Josef 2 Heinrich, Stefan 2 Jagadeeswaran, R. 2 Lemieux, Christiane 2 Li, Runze 2 Li, Yiou 2 Liu, Kwong-Ip 2 Müller-Gronbach, Thomas 2 Niederreiter, Harald 2 Owen, Art B. 2 Ritter, Klaus 2 Song, Guohui 2 Wang, Xiaoqun 2 Yang, Shijun 2 Yortsos, Yannis C. 1 Anitescu, Mihai 1 Arnaud, Elise 1 Chen, Jiading 1 Choi, Sou-Cheng T. 1 Clancy, Nicholas 1 Damelin, Steven Benjamin 1 Fang, Gensun 1 Feng, Keqin 1 Gilquin, Laurent 1 Hamilton, Caleb 1 Hon, Yiu-Chung 1 Jiang, Lan 1 Kuo, Frances Y. 1 L’Ecuyer, Pierre 1 Leung, King-Tai 1 Li, Da 1 Li, Dong 1 Li, Huan 1 Lin, Dennis Kon Jin 1 Liu, Xin 1 Liu, Yuewei 1 Monod, Hervé 1 Nuyens, Dirk 1 Prieur, Clémentine 1 Ragozin, David L. 1 Riddle, John 1 Roderick, Oleg 1 Tong, Xin 1 Wang, Yuan 1 Wasilkowski, Greg 1 Wei, Bocheng 1 Wei, Gang 1 Xu, Lanju 1 Ye, Qi 1 Zhang, Haizhang 1 Zhang, Yizhi 1 Zhou, Xuan all top 5 Serials 12 Journal of Complexity 9 Mathematics of Computation 5 SIAM Journal on Numerical Analysis 5 Statistica Sinica 4 Studies in Applied Mathematics 2 Metrika 2 Statistics & Probability Letters 2 Statistical Science 2 Science in China. Series A 2 Applied and Computational Harmonic Analysis 2 Advances in Computational Mathematics 2 International Journal of Numerical Analysis and Modeling 1 Journal of Fluid Mechanics 1 ACM Transactions on Mathematical Software 1 Annals of the Institute of Statistical Mathematics 1 Applied Mathematics and Computation 1 Biometrika 1 Journal of Computational and Applied Mathematics 1 Journal of Multivariate Analysis 1 Journal of Statistical Planning and Inference 1 Mathematics and Computers in Simulation 1 Chinese Annals of Mathematics. Series A 1 Constructive Approximation 1 Mathematical and Computer Modelling 1 Numerical Algorithms 1 SIAM Journal on Applied Mathematics 1 Chinese Science Bulletin 1 SIAM Journal on Scientific Computing 1 Finite Fields and their Applications 1 The Journal of Fourier Analysis and Applications 1 ACM Transactions on Modeling and Computer Simulation 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Radon Series on Computational and Applied Mathematics 1 Communication on Applied Mathematics and Computation 1 Statistics and Computing 1 International Journal for Uncertainty Quantification all top 5 Fields 67 Numerical analysis (65-XX) 30 Statistics (62-XX) 21 Approximations and expansions (41-XX) 13 Number theory (11-XX) 7 Functional analysis (46-XX) 6 Computer science (68-XX) 6 Fluid mechanics (76-XX) 3 General and overarching topics; collections (00-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Probability theory and stochastic processes (60-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Information and communication theory, circuits (94-XX) 2 Combinatorics (05-XX) 2 Measure and integration (28-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Real functions (26-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Partial differential equations (35-XX) 1 Operator theory (47-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Convex and discrete geometry (52-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Operations research, mathematical programming (90-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 87 Publications have been cited 1,327 times in 767 Documents Cited by ▼ Year ▼ A generalized discrepancy and quadrature error bound. Zbl 0889.41025Hickernell, Fred J. 214 1998 Lattice rules: How well do they measure up? Zbl 0920.65010Hickernell, Fred J. 98 1998 Uniform designs limit aliasing. Zbl 1036.62060Hickernell, Fred J.; Liu, Min-Qian 66 2002 Integration and approximation in arbitrary dimensions. Zbl 0939.41004Hickernell, F. J.; Wozniakowski, H. 57 2000 Connections among different criteria for asymmetrical fractional factorial designs. Zbl 1109.62069Liu, Min-Qian; Fang, Kai-Tai; Hickernell, Fred J. 31 2006 Multi-level Monte Carlo algorithms for infinite-dimensional integration on \(\mathbb R^{\mathbb N}\). Zbl 1207.65005Hickernell, Fred J.; Müller-Gronbach, Thomas; Niu, Ben; Ritter, Klaus 29 2010 The error bounds and tractability of quasi-Monte Carlo algorithms in infinite dimension. Zbl 1032.65006Hickernell, Fred J.; Wang, Xiaoqun 28 2002 Algorithm 823: Implementing scrambled digital sequences. Zbl 1068.11049Hong, Hee Sun; Hickernell, Fred J. 28 2003 Randomized Halton sequences. Zbl 0965.65005Wang, X.; Hickernell, F. J. 28 2000 The mean square discrepancy of randomized nets. Zbl 0887.65030Hickernell, Fred J. 28 1996 The existence of good extensible rank-1 lattices. Zbl 1029.65004Hickernell, Fred J.; Niederreiter, Harald 27 2003 Obtaining O\((N^{-2+\varepsilon})\) convergence for lattice quadrature rules. Zbl 1002.65009Hickernell, Fred J. 25 2002 The mean square discrepancy of scrambled \((t,s)\)-sequences. Zbl 1049.65005Hickernell, Fred J.; Yue, Rong-Xian 24 2000 Linear stability of miscible displacement processes in porous media in the absence of dispersion. Zbl 0603.76091Hickernell, F. J.; Yortsos, Y. C. 23 1986 On tractability of weighted integration over bounded and unbounded regions in \(\mathbb{R}^s\). Zbl 1068.65005Hickernell, Fred J.; Sloan, Ian H.; Wasilkowski, Grzegorz W. 23 2004 Time-dependent critical layers in shear flows on the beta-plane. Zbl 0561.76056Hickernell, Fred J. 23 1984 Testing multivariate uniformity and its applications. Zbl 0958.65016Liang, Jia-Juan; Fang, Kai-Tai; Hickernell, Fred J.; Li, Runze 21 2001 Goodness-of-fit statistics, discrepancies and robust designs. Zbl 0940.62067Hickernell, Fred J. 21 1999 Quadrature error bounds with applications to lattice rules. Zbl 0855.41024Hickernell, Fred J. 21 1996 Trigonometric spectral collocation methods on lattices. Zbl 1036.65093Li, Dong; Hickernell, Fred J. 21 2003 \(E(s^2)\)-optimality and minimum discrepancy in 2-level supersaturated designs. Zbl 1002.62059Liu, Min-Qian; Hickernell, Fred J. 20 2002 Extensible lattice sequences for quasi-Monte Carlo quadrature. Zbl 0974.65004Hickernell, Fred J.; Hong, Hee Sun; L’Écuyer, Pierre; Lemieux, Christiane 20 2000 Deterministic multi-level algorithms for infinite-dimensional integration on \(\mathbb R^{\mathbb N}\). Zbl 1218.65005Niu, Ben; Hickernell, Fred J.; Müller-Gronbach, Thomas; Ritter, Klaus 20 2011 Tractability of multivariate integration for periodic functions. Zbl 1006.65023Hickernell, Fred J.; Woźniakowski, Henryk 20 2001 On dimension-independent rates of convergence for function approximation with Gaussian kernels. Zbl 1243.65025Fasshauer, Gregory E.; Hickernell, Fred J.; Woźniakowski, Henryk 19 2012 Reproducing kernel Banach spaces with the \(\ell^1\) norm. Zbl 1269.46020Song, Guohui; Zhang, Haizhang; Hickernell, Fred J. 18 2013 Monte Carlo simulation of stochastic integrals when the cost of function evaluation is dimension dependent. Zbl 1182.91205Niu, Ben; Hickernell, Fred J. 16 2009 Robust designs for fitting linear models with misspecification. Zbl 0940.62071Yue, Rong-Xian; Hickernell, Fred J. 15 1999 Solving support vector machines in reproducing kernel Banach spaces with positive definite functions. Zbl 1366.68236Fasshauer, Gregory E.; Hickernell, Fred J.; Ye, Qi 15 2015 Control variates for quasi-Monte Carlo (with comments and rejoinder). Zbl 1100.65006Hickernell, Fred J.; Lemieux, Christiane; Owen, Art B. 15 2005 What affects the accuracy of quasi-Monte Carlo quadrature? Zbl 0941.65025Hickernell, Fred J. 14 2000 On energy, discrepancy and group invariant measures on measurable subsets of Euclidean space. Zbl 1292.49041Damelin, S. B.; Hickernell, F. J.; Ragozin, D. L.; Zeng, X. 13 2010 Multivariate interpolation with increasingly flat radial basis functions of finite smoothness. Zbl 1250.41002Song, Guohui; Riddle, John; Fasshauer, Gregory E.; Hickernell, Fred J. 12 2012 The discrepancy and gain coefficients of scrambled digital nets. Zbl 1114.11306Yue, Rong-Xian; Hickernell, Fred J. 12 2002 The asymptotic efficiency of randomized nets for quadrature. Zbl 1043.65051Hickernell, Fred J.; Hong, Hee Sun 11 1999 Optimal quadrature for Haar wavelet spaces. Zbl 1035.65004Heinrich, Stefan; Hickernell, Fred J.; Yue, Rong-Xian 11 2004 Radial basis function approximations as smoothing splines. Zbl 0927.41008Hickernell, Fred J.; Hon, Y. C. 11 1999 On tractability of weighted integration for certain Banach spaces of functions. Zbl 1041.65006Hickernell, Fred J.; Sloan, Ian H.; Wasilkowski, Grzegorz W. 11 2004 Tractability of linear multivariate problems in the average case setting. Zbl 1141.65335Hickernell, Fred; Wasilkowski, Greg; Woźniakowski, Henryk 11 2008 The price of pessimism for multidimensional quadrature. Zbl 1006.65022Hickernell, Fred J.; Woźniakowski, Henryk 11 2001 Linear error-block codes. Zbl 1156.94433Feng, Keqin; Xu, Lanju; Hickernell, Fred J. 10 2006 Error analysis of splines for periodic problems using lattice designs. Zbl 1097.65027Zeng, Xiaoyan; Leung, King-Tai; Hickernell, Fred J. 10 2006 On strong tractability of weighted multivariate integration. Zbl 1071.41027Hickernell, Fred J.; Sloan, Ian H.; Wasilkowski, Grzegorz W. 9 2004 My dream quadrature rule. Zbl 1024.65024Hickernell, Fred J. 9 2003 Optimality criteria for multiresponse linear models based on predictive ellipsoids. Zbl 1206.62137Liu, Xin; Yue, Rong-Xian; Hickernell, Fred J. 9 2011 Some necessary uniform tests for spherical symmetry. Zbl 1169.62052Liang, Jiajuan; Fang, Kai-Tai; Hickernell, Fred J. 8 2008 Computing multivariate normal probabilities using rank-1 lattice sequences. Zbl 0922.65099Hickernell, Fred J.; Hong, Hee Sun 7 1998 Linear stability of immiscible displacement in porous media. Zbl 0669.76124Yortsos, Y. C.; Hickernell, F. J. 7 1989 Orthogonal bases for polynomial regression with derivative information in uncertainty quantification. Zbl 1291.65188Li, Yiou; Anitescu, Mihai; Roderick, Oleg; Hickernell, Fred 7 2011 The cost of deterministic, adaptive, automatic algorithms: cones, not balls. Zbl 1294.65032Clancy, Nicholas; Ding, Yuhan; Hamilton, Caleb; Hickernell, Fred J.; Zhang, Yizhi 7 2014 The strong tractability of multivariate integration using lattice rules. Zbl 1042.65004Hickernell, Fred J.; Sloan, Ian H.; Wasilkowski, Grzegorz W. 7 2004 A piecewise constant algorithm for weighted \(L_{1}\) approximation over bounded or unbounded regions in \(\mathbb R^s\). Zbl 1103.65018Hickernell, Fred J.; Sloan, Ian H.; Wasilkowski, Grzegorz W. 6 2005 Reliable adaptive cubature using digital sequences. Zbl 1356.65006Hickernell, Fred J.; Jiménez Rugama, Lluís Antoni 6 2016 Weighted compound integration rules with higher order convergence for all \(N\). Zbl 1240.65002Hickernell, Fred J.; Kritzer, Peter; Kuo, Frances Y.; Nuyens, Dirk 6 2012 Average case approximation: convergence and tractability of Gaussian kernels. Zbl 1271.65028Fasshauer, G. E.; Hickernell, F. J.; Woźniakowski, H. 6 2012 Spline methods using integration lattices and digital nets. Zbl 1184.41009Zeng, Xiaoyan; Kritzer, Peter; Hickernell, Fred J. 6 2009 Approximation on anisotropic Besov classes with mixed norms by standard information. Zbl 1078.41027Fang, Gensun; Hickernell, Fred J.; Li, Huan 5 2005 Adaptive multidimensional integration based on rank-1 lattices. Zbl 1356.65008Jiménez Rugama, Lluís Antoni; Hickernell, Fred J. 5 2016 The evolution of large-horizontal-scale disturbances in marginally stable, inviscid, shear flows. I: Derivation of the amplitude evolution equations. Zbl 0531.76052Hickernell, Fred J. 5 1983 Optimal foldover plans for regular \(s\)-level fractional factorial designs. Zbl 1136.62051Ai, Mingyao; Hickernell, Fred J.; Lin, Dennis K. J. 5 2008 An historical overview of lattice point sets. Zbl 1012.11067Wang, Yuan; Hickernell, Fred J. 4 2002 The distribution of the discrepancy of scrambled digital (\(t\),\(m\),\(s\))-nets. Zbl 1020.65009Hong, Hee Sun; Hickernell, Fred J.; Wei, Gang 4 2003 Guaranteed conservative fixed width confidence intervals via Monte Carlo sampling. Zbl 1302.65007Hickernell, Fred J.; Jiang, Lan; Liu, Yuewei; Owen, Art B. 4 2013 Quasi-Monte Carlo methods and their randomizations. Zbl 1007.65003Hickernell, Fred J.; Hong, Hee Sun 3 2002 Strong tractability of integration using scrambled Niederreiter points. Zbl 1079.65011Yue, Rong-Xian; Hickernell, Fred J. 3 2005 Monte Carlo and quasi-Monte Carlo methods 2000. Proceedings of a conference, held at Hong Kong Baptist Univ., Hong Kong SAR, China, November 27 – December 1, 2000. Zbl 0980.00040 3 2002 A new class of consistent estimators for stochastic linear regressive models. Zbl 0884.62095An, Hongzhi; Hickernell, Fred J.; Zhu, Lixing 3 1997 Local adaption for approximation and minimization of univariate functions. Zbl 1365.65032Choi, Sou-Cheng T.; Ding, Yuhan; Hickernell, Fred J.; Tong, Xin 3 2017 The evolution of large-horizontal-scale disturbances in marginally stable, inviscid, shear flows. II: Solutions of the Bouissinesq equation. Zbl 0531.76053Hickernell, Fred J. 3 1983 Integration and approximation based on scramble sampling in arbitrary dimensions. Zbl 0995.65005Yue, Rong-Xian; Hickernell, Fred J. 3 2001 Iterative construction of replicated designs based on Sobol’ sequences. (Construction de plans répliqués à partir de séquences de Sobol’.) Zbl 1355.65009Gilquin, Laurent; Jiménez Rugama, Lluís Antoni; Arnaud, Élise; Hickernell, Fred J.; Monod, Hervé; Prieur, Clémentine 2 2017 A multivariate fast discrete Walsh transform with an application to function interpolation. Zbl 1200.42017Liu, Kwong-Ip; Dick, Josef; Hickernell, Fred J. 2 2009 A comparison of random and quasirandom points for multidimensional quadrature. Zbl 0831.65023Hickernell, Fred J. 2 1995 Fast automatic Bayesian cubature using lattice sampling. Zbl 1435.62028Jagadeeswaran, R.; Hickernell, Fred J. 2 2019 The relationship between discrepancies defined on a domain and on its subset. Zbl 1094.62094Liu, Min-Qian; Hickernell, Fred J. 2 2006 Strong tractability of quasi-Monte Carlo quadrature using nets for certain Banach spaces. Zbl 1129.65003Yue, Rong-Xian; Hickernell, Fred J. 2 2006 An upper bound on the growth rate of a linear instability in a homogeneous shear flow. Zbl 0588.76068Hickernell, Fred J. 1 1985 Simplified analytical expressions for numerical differentiation via cycle index. Zbl 1159.65027Hickernell, Fred J.; Yang, Shijun 1 2009 Explicit Hermite interpolation polynomials via the cycle index applications. Zbl 1162.65004Hickernell, Fred J.; Yang, Shijun 1 2008 A class of asymptotically optimal sequential tests for composite hypotheses. Zbl 0812.62084Chen, Jiading; Hickernell, Fred J. 1 1994 A goodness-of-fit test for linearity of a stochastic regression model. Zbl 0898.62057Zhu, Lixing; Hickernell, F. J.; An, Hongzhi 1 1997 Designs for smoothing spline ANOVA models. Zbl 1320.62187Yue, Rong-Xian; Hickernell, F. J. 1 2002 Regression transformation diagnostics for explanatory variables. Zbl 0881.62078Wei, Bo-Cheng; Hickernell, Fred J. 1 1996 Exponential tractability of linear tensor product problems. Zbl 07240864Hickernell, Fred J.; Kritzer, Peter; Woźniakowski, Henryk 1 2020 Adaptive quasi-Monte Carlo methods for cubature. Zbl 1405.65011Hickernell, Fred J.; Jiménez Rugama, Lluís Antoni; Li, Da 1 2018 An algorithm-driven approach to error analysis for multidimensional integration. Zbl 1131.41316Hickernell, Fred J.; Dick, Josef 1 2008 Universal optimality of digital nets and lattice designs. Zbl 1178.62080Ai, MingYao; Hickernell, Fred J. 1 2009 Exponential tractability of linear tensor product problems. Zbl 07240864Hickernell, Fred J.; Kritzer, Peter; Woźniakowski, Henryk 1 2020 Fast automatic Bayesian cubature using lattice sampling. Zbl 1435.62028Jagadeeswaran, R.; Hickernell, Fred J. 2 2019 Adaptive quasi-Monte Carlo methods for cubature. Zbl 1405.65011Hickernell, Fred J.; Jiménez Rugama, Lluís Antoni; Li, Da 1 2018 Local adaption for approximation and minimization of univariate functions. Zbl 1365.65032Choi, Sou-Cheng T.; Ding, Yuhan; Hickernell, Fred J.; Tong, Xin 3 2017 Iterative construction of replicated designs based on Sobol’ sequences. (Construction de plans répliqués à partir de séquences de Sobol’.) Zbl 1355.65009Gilquin, Laurent; Jiménez Rugama, Lluís Antoni; Arnaud, Élise; Hickernell, Fred J.; Monod, Hervé; Prieur, Clémentine 2 2017 Reliable adaptive cubature using digital sequences. Zbl 1356.65006Hickernell, Fred J.; Jiménez Rugama, Lluís Antoni 6 2016 Adaptive multidimensional integration based on rank-1 lattices. Zbl 1356.65008Jiménez Rugama, Lluís Antoni; Hickernell, Fred J. 5 2016 Solving support vector machines in reproducing kernel Banach spaces with positive definite functions. Zbl 1366.68236Fasshauer, Gregory E.; Hickernell, Fred J.; Ye, Qi 15 2015 The cost of deterministic, adaptive, automatic algorithms: cones, not balls. Zbl 1294.65032Clancy, Nicholas; Ding, Yuhan; Hamilton, Caleb; Hickernell, Fred J.; Zhang, Yizhi 7 2014 Reproducing kernel Banach spaces with the \(\ell^1\) norm. Zbl 1269.46020Song, Guohui; Zhang, Haizhang; Hickernell, Fred J. 18 2013 Guaranteed conservative fixed width confidence intervals via Monte Carlo sampling. Zbl 1302.65007Hickernell, Fred J.; Jiang, Lan; Liu, Yuewei; Owen, Art B. 4 2013 On dimension-independent rates of convergence for function approximation with Gaussian kernels. Zbl 1243.65025Fasshauer, Gregory E.; Hickernell, Fred J.; Woźniakowski, Henryk 19 2012 Multivariate interpolation with increasingly flat radial basis functions of finite smoothness. Zbl 1250.41002Song, Guohui; Riddle, John; Fasshauer, Gregory E.; Hickernell, Fred J. 12 2012 Weighted compound integration rules with higher order convergence for all \(N\). Zbl 1240.65002Hickernell, Fred J.; Kritzer, Peter; Kuo, Frances Y.; Nuyens, Dirk 6 2012 Average case approximation: convergence and tractability of Gaussian kernels. Zbl 1271.65028Fasshauer, G. E.; Hickernell, F. J.; Woźniakowski, H. 6 2012 Deterministic multi-level algorithms for infinite-dimensional integration on \(\mathbb R^{\mathbb N}\). Zbl 1218.65005Niu, Ben; Hickernell, Fred J.; Müller-Gronbach, Thomas; Ritter, Klaus 20 2011 Optimality criteria for multiresponse linear models based on predictive ellipsoids. Zbl 1206.62137Liu, Xin; Yue, Rong-Xian; Hickernell, Fred J. 9 2011 Orthogonal bases for polynomial regression with derivative information in uncertainty quantification. Zbl 1291.65188Li, Yiou; Anitescu, Mihai; Roderick, Oleg; Hickernell, Fred 7 2011 Multi-level Monte Carlo algorithms for infinite-dimensional integration on \(\mathbb R^{\mathbb N}\). Zbl 1207.65005Hickernell, Fred J.; Müller-Gronbach, Thomas; Niu, Ben; Ritter, Klaus 29 2010 On energy, discrepancy and group invariant measures on measurable subsets of Euclidean space. Zbl 1292.49041Damelin, S. B.; Hickernell, F. J.; Ragozin, D. L.; Zeng, X. 13 2010 Monte Carlo simulation of stochastic integrals when the cost of function evaluation is dimension dependent. Zbl 1182.91205Niu, Ben; Hickernell, Fred J. 16 2009 Spline methods using integration lattices and digital nets. Zbl 1184.41009Zeng, Xiaoyan; Kritzer, Peter; Hickernell, Fred J. 6 2009 A multivariate fast discrete Walsh transform with an application to function interpolation. Zbl 1200.42017Liu, Kwong-Ip; Dick, Josef; Hickernell, Fred J. 2 2009 Simplified analytical expressions for numerical differentiation via cycle index. Zbl 1159.65027Hickernell, Fred J.; Yang, Shijun 1 2009 Universal optimality of digital nets and lattice designs. Zbl 1178.62080Ai, MingYao; Hickernell, Fred J. 1 2009 Tractability of linear multivariate problems in the average case setting. Zbl 1141.65335Hickernell, Fred; Wasilkowski, Greg; Woźniakowski, Henryk 11 2008 Some necessary uniform tests for spherical symmetry. Zbl 1169.62052Liang, Jiajuan; Fang, Kai-Tai; Hickernell, Fred J. 8 2008 Optimal foldover plans for regular \(s\)-level fractional factorial designs. Zbl 1136.62051Ai, Mingyao; Hickernell, Fred J.; Lin, Dennis K. J. 5 2008 Explicit Hermite interpolation polynomials via the cycle index applications. Zbl 1162.65004Hickernell, Fred J.; Yang, Shijun 1 2008 An algorithm-driven approach to error analysis for multidimensional integration. Zbl 1131.41316Hickernell, Fred J.; Dick, Josef 1 2008 Connections among different criteria for asymmetrical fractional factorial designs. Zbl 1109.62069Liu, Min-Qian; Fang, Kai-Tai; Hickernell, Fred J. 31 2006 Linear error-block codes. Zbl 1156.94433Feng, Keqin; Xu, Lanju; Hickernell, Fred J. 10 2006 Error analysis of splines for periodic problems using lattice designs. Zbl 1097.65027Zeng, Xiaoyan; Leung, King-Tai; Hickernell, Fred J. 10 2006 The relationship between discrepancies defined on a domain and on its subset. Zbl 1094.62094Liu, Min-Qian; Hickernell, Fred J. 2 2006 Strong tractability of quasi-Monte Carlo quadrature using nets for certain Banach spaces. Zbl 1129.65003Yue, Rong-Xian; Hickernell, Fred J. 2 2006 Control variates for quasi-Monte Carlo (with comments and rejoinder). Zbl 1100.65006Hickernell, Fred J.; Lemieux, Christiane; Owen, Art B. 15 2005 A piecewise constant algorithm for weighted \(L_{1}\) approximation over bounded or unbounded regions in \(\mathbb R^s\). Zbl 1103.65018Hickernell, Fred J.; Sloan, Ian H.; Wasilkowski, Grzegorz W. 6 2005 Approximation on anisotropic Besov classes with mixed norms by standard information. Zbl 1078.41027Fang, Gensun; Hickernell, Fred J.; Li, Huan 5 2005 Strong tractability of integration using scrambled Niederreiter points. Zbl 1079.65011Yue, Rong-Xian; Hickernell, Fred J. 3 2005 On tractability of weighted integration over bounded and unbounded regions in \(\mathbb{R}^s\). Zbl 1068.65005Hickernell, Fred J.; Sloan, Ian H.; Wasilkowski, Grzegorz W. 23 2004 Optimal quadrature for Haar wavelet spaces. Zbl 1035.65004Heinrich, Stefan; Hickernell, Fred J.; Yue, Rong-Xian 11 2004 On tractability of weighted integration for certain Banach spaces of functions. Zbl 1041.65006Hickernell, Fred J.; Sloan, Ian H.; Wasilkowski, Grzegorz W. 11 2004 On strong tractability of weighted multivariate integration. Zbl 1071.41027Hickernell, Fred J.; Sloan, Ian H.; Wasilkowski, Grzegorz W. 9 2004 The strong tractability of multivariate integration using lattice rules. Zbl 1042.65004Hickernell, Fred J.; Sloan, Ian H.; Wasilkowski, Grzegorz W. 7 2004 Algorithm 823: Implementing scrambled digital sequences. Zbl 1068.11049Hong, Hee Sun; Hickernell, Fred J. 28 2003 The existence of good extensible rank-1 lattices. Zbl 1029.65004Hickernell, Fred J.; Niederreiter, Harald 27 2003 Trigonometric spectral collocation methods on lattices. Zbl 1036.65093Li, Dong; Hickernell, Fred J. 21 2003 My dream quadrature rule. Zbl 1024.65024Hickernell, Fred J. 9 2003 The distribution of the discrepancy of scrambled digital (\(t\),\(m\),\(s\))-nets. Zbl 1020.65009Hong, Hee Sun; Hickernell, Fred J.; Wei, Gang 4 2003 Uniform designs limit aliasing. Zbl 1036.62060Hickernell, Fred J.; Liu, Min-Qian 66 2002 The error bounds and tractability of quasi-Monte Carlo algorithms in infinite dimension. Zbl 1032.65006Hickernell, Fred J.; Wang, Xiaoqun 28 2002 Obtaining O\((N^{-2+\varepsilon})\) convergence for lattice quadrature rules. Zbl 1002.65009Hickernell, Fred J. 25 2002 \(E(s^2)\)-optimality and minimum discrepancy in 2-level supersaturated designs. Zbl 1002.62059Liu, Min-Qian; Hickernell, Fred J. 20 2002 The discrepancy and gain coefficients of scrambled digital nets. Zbl 1114.11306Yue, Rong-Xian; Hickernell, Fred J. 12 2002 An historical overview of lattice point sets. Zbl 1012.11067Wang, Yuan; Hickernell, Fred J. 4 2002 Quasi-Monte Carlo methods and their randomizations. Zbl 1007.65003Hickernell, Fred J.; Hong, Hee Sun 3 2002 Monte Carlo and quasi-Monte Carlo methods 2000. Proceedings of a conference, held at Hong Kong Baptist Univ., Hong Kong SAR, China, November 27 – December 1, 2000. Zbl 0980.00040 3 2002 Designs for smoothing spline ANOVA models. Zbl 1320.62187Yue, Rong-Xian; Hickernell, F. J. 1 2002 Testing multivariate uniformity and its applications. Zbl 0958.65016Liang, Jia-Juan; Fang, Kai-Tai; Hickernell, Fred J.; Li, Runze 21 2001 Tractability of multivariate integration for periodic functions. Zbl 1006.65023Hickernell, Fred J.; Woźniakowski, Henryk 20 2001 The price of pessimism for multidimensional quadrature. Zbl 1006.65022Hickernell, Fred J.; Woźniakowski, Henryk 11 2001 Integration and approximation based on scramble sampling in arbitrary dimensions. Zbl 0995.65005Yue, Rong-Xian; Hickernell, Fred J. 3 2001 Integration and approximation in arbitrary dimensions. Zbl 0939.41004Hickernell, F. J.; Wozniakowski, H. 57 2000 Randomized Halton sequences. Zbl 0965.65005Wang, X.; Hickernell, F. J. 28 2000 The mean square discrepancy of scrambled \((t,s)\)-sequences. Zbl 1049.65005Hickernell, Fred J.; Yue, Rong-Xian 24 2000 Extensible lattice sequences for quasi-Monte Carlo quadrature. Zbl 0974.65004Hickernell, Fred J.; Hong, Hee Sun; L’Écuyer, Pierre; Lemieux, Christiane 20 2000 What affects the accuracy of quasi-Monte Carlo quadrature? Zbl 0941.65025Hickernell, Fred J. 14 2000 Goodness-of-fit statistics, discrepancies and robust designs. Zbl 0940.62067Hickernell, Fred J. 21 1999 Robust designs for fitting linear models with misspecification. Zbl 0940.62071Yue, Rong-Xian; Hickernell, Fred J. 15 1999 The asymptotic efficiency of randomized nets for quadrature. Zbl 1043.65051Hickernell, Fred J.; Hong, Hee Sun 11 1999 Radial basis function approximations as smoothing splines. Zbl 0927.41008Hickernell, Fred J.; Hon, Y. C. 11 1999 A generalized discrepancy and quadrature error bound. Zbl 0889.41025Hickernell, Fred J. 214 1998 Lattice rules: How well do they measure up? Zbl 0920.65010Hickernell, Fred J. 98 1998 Computing multivariate normal probabilities using rank-1 lattice sequences. Zbl 0922.65099Hickernell, Fred J.; Hong, Hee Sun 7 1998 A new class of consistent estimators for stochastic linear regressive models. Zbl 0884.62095An, Hongzhi; Hickernell, Fred J.; Zhu, Lixing 3 1997 A goodness-of-fit test for linearity of a stochastic regression model. Zbl 0898.62057Zhu, Lixing; Hickernell, F. J.; An, Hongzhi 1 1997 The mean square discrepancy of randomized nets. Zbl 0887.65030Hickernell, Fred J. 28 1996 Quadrature error bounds with applications to lattice rules. Zbl 0855.41024Hickernell, Fred J. 21 1996 Regression transformation diagnostics for explanatory variables. Zbl 0881.62078Wei, Bo-Cheng; Hickernell, Fred J. 1 1996 A comparison of random and quasirandom points for multidimensional quadrature. Zbl 0831.65023Hickernell, Fred J. 2 1995 A class of asymptotically optimal sequential tests for composite hypotheses. Zbl 0812.62084Chen, Jiading; Hickernell, Fred J. 1 1994 Linear stability of immiscible displacement in porous media. Zbl 0669.76124Yortsos, Y. C.; Hickernell, F. J. 7 1989 Linear stability of miscible displacement processes in porous media in the absence of dispersion. Zbl 0603.76091Hickernell, F. J.; Yortsos, Y. C. 23 1986 An upper bound on the growth rate of a linear instability in a homogeneous shear flow. Zbl 0588.76068Hickernell, Fred J. 1 1985 Time-dependent critical layers in shear flows on the beta-plane. Zbl 0561.76056Hickernell, Fred J. 23 1984 The evolution of large-horizontal-scale disturbances in marginally stable, inviscid, shear flows. I: Derivation of the amplitude evolution equations. Zbl 0531.76052Hickernell, Fred J. 5 1983 The evolution of large-horizontal-scale disturbances in marginally stable, inviscid, shear flows. II: Solutions of the Bouissinesq equation. Zbl 0531.76053Hickernell, Fred J. 3 1983 all cited Publications top 5 cited Publications all top 5 Cited by 781 Authors 48 Qin, Hong 42 Hickernell, Fred J. 37 Dick, Josef 37 Fang, Kai-Tai 37 Kuo, Frances Y. 36 Woźniakowski, Henryk 35 Liu, Min-Qian 35 Pillichshammer, Friedrich 34 Sloan, Ian Hugh 31 Wasilkowski, Grzegorz W. 23 Chatterjee, Kashinath 21 Elsawah, A. M. 21 Nuyens, Dirk 20 Yue, Rongxian 18 Gnewuch, Michael 18 Kritzer, Peter 17 Zhou, Yongdao 15 Ou, Zujun 13 Lin, Dennis Kon Jin 12 Owen, Art B. 12 Wang, Xiaoqun 11 Goda, Takashi 10 Ai, Mingyao 10 Cools, Ronald 10 Li, Hongyi 9 Lemieux, Christiane 9 Tang, Yu 9 Ye, Qi 8 Ning, Jianhui 8 Ökten, Giray 7 Hinrichs, Aicke 7 L’Ecuyer, Pierre 7 Niederreiter, Harald 7 Novak, Erich 7 Sun, Fasheng 7 Wang, Zhenghong 6 Kämmerer, Lutz 6 Liu, Xin 6 Ritter, Klaus 6 Volkmer, Toni 6 Zhang, Runchu 5 Brauchart, Johann S. 5 Goldstein, Marvin E. 5 Jiménez Rugama, Lluís Antoni 5 Leobacher, Gunther 5 Leovey, Hernan 5 Plaskota, Leszek 5 Sinescu, Vasile 5 Suryanarayana, Gowri 5 Waterhouse, Benjamin J. 5 Xu, Hongquan 4 Chen, Hao 4 Churilov, Semyon Mikhailovich 4 Dass, Bal Kishan 4 Dimov, Ivan Todor 4 Fasshauer, Gregory E. 4 Griebel, Michael 4 Huang, Hengzhen 4 Joe, Stephen 4 Karvonen, Toni 4 Khartov, Alekseĭ Andreevich 4 Leib, Stewart J. 4 Li, Runze 4 Liu, Kwong-Ip 4 Ma, Changxing 4 Potts, Daniel 4 Schwab, Christoph 4 Sharma, Namita 4 Suzuki, Kosuke 4 Tezuka, Shu 4 Todorov, Venelin 4 Verma, Rashmi 4 Winker, Peter 4 Xu, Guiqiao 4 Xu, Yuesheng 4 Yang, Jianfeng 4 Yang, Xue 4 Yoshiki, Takehito 4 Zhang, Aijun 4 Zhang, Haizhang 4 Zhou, Xiaodong 4 Zou, Na 3 Baldeaux, Jan 3 Berrendero, Jose Ramon 3 Chen, Xueping 3 Chi, Hongmei 3 Cuevas, Antonio 3 Ding, Yuhan 3 Doerr, Benjamin 3 Ebert, Adrian 3 Faure, Henri 3 Gou, Tingxun 3 Guo, Bing 3 Hefter, Mario 3 Henze, Norbert 3 Homsy, George M. 3 Jiang, Bochuan 3 Kacewicz, Bolesław Z. 3 Katsaounis, Tena I. 3 Ke, Xiao ...and 681 more Authors all top 5 Cited in 159 Serials 129 Journal of Complexity 43 Mathematics of Computation 37 Journal of Statistical Planning and Inference 34 Statistics & Probability Letters 20 Statistical Papers 19 Journal of Computational and Applied Mathematics 18 Journal of Fluid Mechanics 15 Journal of Approximation Theory 14 Metrika 14 Communications in Statistics. Theory and Methods 13 Computational Statistics and Data Analysis 12 The Annals of Statistics 12 Numerische Mathematik 11 Numerical Algorithms 11 Physics of Fluids 10 Constructive Approximation 10 Advances in Computational Mathematics 9 Journal of Computational Physics 9 Foundations of Computational Mathematics 8 Monte Carlo Methods and Applications 7 Mathematics and Computers in Simulation 7 Statistics 6 SIAM Journal on Numerical Analysis 6 Acta Mathematicae Applicatae Sinica. English Series 6 Journal of the Korean Statistical Society 5 Journal of Multivariate Analysis 5 Studies in Applied Mathematics 5 Applied Numerical Mathematics 5 SIAM Journal on Scientific Computing 5 Finite Fields and their Applications 5 European Journal of Mechanics. B. Fluids 5 Journal of Systems Science and Complexity 5 Analysis and Applications (Singapore) 5 Journal of Statistical Theory and Practice 5 Electronic Journal of Statistics 5 SIAM/ASA Journal on Uncertainty Quantification 4 Computers & Mathematics with Applications 4 Computer Methods in Applied Mechanics and Engineering 4 Journal of Engineering Mathematics 4 Mathematical and Computer Modelling 4 Journal of Scientific Computing 4 Computational Statistics 4 Applied and Computational Harmonic Analysis 4 The Journal of Fourier Analysis and Applications 4 Journal of Applied Statistics 4 Science China. Mathematics 4 Statistics and Computing 3 Journal of Mathematical Analysis and Applications 3 Annals of the Institute of Statistical Mathematics 3 Applied Mathematics and Computation 3 BIT 3 Statistical Science 3 Neural Computation 3 Communications in Statistics. Simulation and Computation 3 Journal of Statistical Computation and Simulation 3 Applied Mathematics. Series B (English Edition) 3 Mathematical Foundations of Computing 2 Applicable Analysis 2 The Canadian Journal of Statistics 2 Computer Physics Communications 2 Discrete Mathematics 2 Geophysical and Astrophysical Fluid Dynamics 2 Physics of Fluids 2 Physics Reports 2 Wave Motion 2 Archiv der Mathematik 2 Biometrics 2 Computing 2 Functiones et Approximatio. Commentarii Mathematici 2 Information Sciences 2 International Journal for Numerical Methods in Engineering 2 Mathematics of Operations Research 2 Memoirs of the American Mathematical Society 2 Proceedings of the American Mathematical Society 2 Journal of Economic Dynamics & Control 2 SIAM Journal on Matrix Analysis and Applications 2 Science in China. Series A 2 Designs, Codes and Cryptography 2 Applied Mathematical Modelling 2 Mathematical Programming. Series A. Series B 2 Computational Optimization and Applications 2 Computational and Applied Mathematics 2 International Journal of Theoretical and Applied Finance 2 Methodology and Computing in Applied Probability 2 International Journal of Wavelets, Multiresolution and Information Processing 2 SIAM Journal on Mathematics of Data Science 1 Advances in Applied Probability 1 International Journal for Numerical Methods in Fluids 1 Inverse Problems 1 Israel Journal of Mathematics 1 Physica A 1 Physics of Fluids, A 1 Bulletin of Mathematical Biology 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Journal of the American Statistical Association 1 Journal of Applied Probability 1 Journal of Econometrics 1 Journal of Number Theory 1 Journal of Optimization Theory and Applications 1 Mathematische Nachrichten ...and 59 more Serials all top 5 Cited in 35 Fields 386 Numerical analysis (65-XX) 281 Statistics (62-XX) 122 Approximations and expansions (41-XX) 104 Number theory (11-XX) 63 Fluid mechanics (76-XX) 62 Computer science (68-XX) 61 Functional analysis (46-XX) 52 Probability theory and stochastic processes (60-XX) 29 Combinatorics (05-XX) 25 Harmonic analysis on Euclidean spaces (42-XX) 25 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 22 Information and communication theory, circuits (94-XX) 21 Operations research, mathematical programming (90-XX) 19 Partial differential equations (35-XX) 12 Geophysics (86-XX) 8 Operator theory (47-XX) 8 Quantum theory (81-XX) 7 Mechanics of deformable solids (74-XX) 7 Systems theory; control (93-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 5 Biology and other natural sciences (92-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Real functions (26-XX) 4 Measure and integration (28-XX) 4 Potential theory (31-XX) 4 Ordinary differential equations (34-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Integral equations (45-XX) 2 Special functions (33-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Functions of a complex variable (30-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Geometry (51-XX) 1 Mechanics of particles and systems (70-XX) 1 Astronomy and astrophysics (85-XX) Citations by Year