Fred J. Hickernell

According to our database, Fred J. Hickernell authored at least 50 papers between 1996 and 2025.

Collaborative distances:

• Dijkstra number of four.
• Erdős number of four.

2025

Empirical Bernstein and betting confidence intervals for randomized quasi-Monte Carlo.

Aadit Jain, Fred J. Hickernell, Art B. Owen, Aleksei G. Sorokin

CoRR, April, 2025

Quasi-Monte Carlo Methods: What, Why, and How?

Fred J. Hickernell, Nathan Kirk, Aleksei G. Sorokin

CoRR, February, 2025

2024

A unified treatment of tractability for approximation problems defined on Hilbert spaces.

Onyekachi Emenike, Fred J. Hickernell, Peter Kritzer

J. Complex., 2024

2023

Challenges in Developing Great Quasi-Monte Carlo Software.

Sou-Cheng T. Choi, Yuhan Ding, Fred J. Hickernell, Rathinavel Jagadeeswaran, Aleksei G. Sorokin

CoRR, 2023

Computationally Efficient and Error Aware Surrogate Construction for Numerical Solutions of Subsurface Flow Through Porous Media.

Aleksei G. Sorokin, Aleksandra Pachalieva, Daniel O'Malley, James M. Hyman, Fred J. Hickernell, Nicolas W. Hengartner

CoRR, 2023

2020

Quasi-Monte Carlo Software.

Sou-Cheng T. Choi, Fred J. Hickernell, Rathinavel Jagadeeswaran, Michael J. McCourt, Aleksei G. Sorokin

Proceedings of the Monte Carlo and Quasi-Monte Carlo Methods, 2020

2019

Fast automatic Bayesian cubature using lattice sampling.

R. Jagadeeswaran, Fred J. Hickernell

Stat. Comput., 2019

2017

Local adaption for approximation and minimization of univariate functions.

Sou-Cheng T. Choi, Yuhan Ding, Fred J. Hickernell, Xin Tong

J. Complex., 2017

2015

GAIL - Guaranteed Automatic Integration Library in MATLAB: Documentation for Version 2.1.

Sou-Cheng T. Choi, Yuhan Ding, Fred J. Hickernell, Lan Jiang, Lluís Antoni Jiménez Rugama, Xin Tong, Yizhi Zhang, Xuan Zhou

CoRR, 2015

2014

The cost of deterministic, adaptive, automatic algorithms: Cones, not balls.

Nicholas Clancy, Yuhan Ding, Caleb Hamilton, Fred J. Hickernell, Yizhi Zhang

J. Complex., 2014

Tractability of Function Approximation with Product Kernels.

Xuan Zhou, Fred J. Hickernell

Proceedings of the Monte Carlo and Quasi-Monte Carlo Methods, 2014

Adaptive Multidimensional Integration Based on Rank-1 Lattices.

Lluís Antoni Jiménez Rugama, Fred J. Hickernell

Proceedings of the Monte Carlo and Quasi-Monte Carlo Methods, 2014

Reliable Adaptive Cubature Using Digital Sequences.

Fred J. Hickernell, Lluís Antoni Jiménez Rugama

Proceedings of the Monte Carlo and Quasi-Monte Carlo Methods, 2014

2012

On Dimension-independent Rates of Convergence for Function Approximation with Gaussian Kernels.

Gregory E. Fasshauer, Fred J. Hickernell, Henryk Wozniakowski

SIAM J. Numer. Anal., 2012

Weighted compound integration rules with higher order convergence for all N.

Fred J. Hickernell, Peter Kritzer, Frances Y. Kuo, Dirk Nuyens

Numer. Algorithms, 2012

Multivariate interpolation with increasingly flat radial basis functions of finite smoothness.

Guohui Song, John Riddle, Gregory E. Fasshauer, Fred J. Hickernell

Adv. Comput. Math., 2012

2011

Deterministic multi-level algorithms for infinite-dimensional integration on R^N.

Ben Niu, Fred J. Hickernell, Thomas Müller-Gronbach, Klaus Ritter

J. Complex., 2011

Reproducing Kernel Banach Spaces with the l1 Norm

Guohui Song, Haizhang Zhang, Fred J. Hickernell

CoRR, 2011

2010

Multi-level Monte Carlo algorithms for infinite-dimensional integration on R^N.

Fred J. Hickernell, Thomas Müller-Gronbach, Ben Niu, Klaus Ritter

J. Complex., 2010

2009

A multivariate fast discrete Walsh transform with an application to function interpolation.

Kwong-Ip Liu, Josef Dick, Fred J. Hickernell

Math. Comput., 2009

Evaluating Expectations of Functionals of Brownian Motions: a Multilevel Idea.

Fred J. Hickernell, Thomas Müller-Gronbach, Ben Niu, Klaus Ritter

Proceedings of the Algorithms and Complexity for Continuous Problems, 20.09. - 25.09.2009, 2009

2006

Strong Tractability of Quasi-Monte Carlo Quadrature Using Nets for Certain Banach Spaces.

Rong-Xian Yue, Fred J. Hickernell

SIAM J. Numer. Anal., 2006

Linear error-block codes.

Keqin Feng, Lanju Xu, Fred J. Hickernell

Finite Fields Their Appl., 2006

2005

A Piecewise Constant Algorithm for Weighted L₁ Approximation over Bounded or Unbounded Regions in R^s.

Fred J. Hickernell, Ian H. Sloan, Grzegorz W. Wasilkowski

SIAM J. Numer. Anal., 2005

Strong tractability of integration using scrambled Niederreiter points.

Rong-Xian Yue, Fred J. Hickernell

Math. Comput., 2005

Approximation on anisotropic Besov classes with mixed norms by standard information.

Gensun Fang, Fred J. Hickernell, Huan Li

J. Complex., 2005

2004

On strong tractability of weighted multivariate integration.

Fred J. Hickernell, Ian H. Sloan, Grzegorz W. Wasilkowski

Math. Comput., 2004

On tractability of weighted integration over bounded and unbounded regions in Real^s.

Fred J. Hickernell, Ian H. Sloan, Grzegorz W. Wasilkowski

Math. Comput., 2004

Optimal quadrature for Haar wavelet spaces.

Stefan Heinrich, Fred J. Hickernell, Rong-Xian Yue

Math. Comput., 2004

A Scalable Low Discrepancy Point Generator for Parallel Computing.

Kwong-Ip Liu, Fred J. Hickernell

Proceedings of the Parallel and Distributed Processing and Applications, 2004

2003

Algorithm 823: Implementing scrambled digital sequences.

Hee Sun Hong, Fred J. Hickernell

ACM Trans. Math. Softw., 2003

The distribution of the discrepancy of scrambled digital (t, m, s)-nets.

Hee Sun Hong, Fred J. Hickernell, Gang Wei

Math. Comput. Simul., 2003

The existence of good extensible rank-1 lattices.

Fred J. Hickernell, Harald Niederreiter

J. Complex., 2003

My dream quadrature rule.

Fred J. Hickernell

J. Complex., 2003

2002

The error bounds and tractability of quasi-Monte Carlo algorithms in infinite dimension.

Fred J. Hickernell, Xiaoqun Wang

Math. Comput., 2002

The Discrepancy and Gain Coefficients of Scrambled Digital Nets.

Rong-Xian Yue, Fred J. Hickernell

J. Complex., 2002

2002 Best Paper Award Committee.

Fred J. Hickernell, Peter Mathé

J. Complex., 2002

2001

Testing multivariate uniformity and its applications.

Jia-Juan Liang, Kai-Tai Fang, Fred J. Hickernell, Runze Li

Math. Comput., 2001

Integration and Approximation Based on Scramble Sampling in Arbitrary Dimensions.

Rong-Xian Yue, Fred J. Hickernell

J. Complex., 2001

Tractability of Multivariate Integration for Periodic Functions.

Fred J. Hickernell, Henryk Wozniakowski

J. Complex., 2001

The Price of Pessimism for Multidimensional Quadrature.

Fred J. Hickernell, Henryk Wozniakowski

J. Complex., 2001

Special Issue on the Complexity of Multivariate Problems.

Fred J. Hickernell, Henryk Wozniakowski

J. Complex., 2001

Integration of Multivariate Haar Wavelet Series.

Stefan Heinrich, Fred J. Hickernell, Rong-Xian Yue

Proceedings of the Wavelet Analysis and Its Applications, Second International Conference, 2001

2000

Extensible Lattice Sequences for Quasi-Monte Carlo Quadrature.

Fred J. Hickernell, Hee Sun Hong, Pierre L'Ecuyer, Christiane Lemieux

SIAM J. Sci. Comput., 2000

The Mean Square Discrepancy of Scrambled (<i>t</i>, <i>s</i>)-Sequences.

Fred J. Hickernell, Rong-Xian Yue

SIAM J. Numer. Anal., 2000

Integration and approximation in arbitrary dimensions.

Fred J. Hickernell, Henryk Wozniakowski

Adv. Comput. Math., 2000

1999

The asymptotic efficiency of randomized nets for quadrature.

Fred J. Hickernell, Hee Sun Hong

Math. Comput., 1999

Radial basis function approximations as smoothing splines.

Fred J. Hickernell, Y. C. Hon

Appl. Math. Comput., 1999

1998

A generalized discrepancy and quadrature error bound.

Fred J. Hickernell

Math. Comput., 1998

1996

The Mean Square Discrepancy of Randomized Nets.

Fred J. Hickernell

ACM Trans. Model. Comput. Simul., 1996