Fred J. Hickernell

Orcid: 0000-0001-6677-1324

According to our database1, Fred J. Hickernell authored at least 48 papers between 1996 and 2024.

Collaborative distances:
  • Dijkstra number2 of four.
  • Erdős number3 of four.

Timeline

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Bibliography

2024
A unified treatment of tractability for approximation problems defined on Hilbert spaces.
J. Complex., 2024

2023
Challenges in Developing Great Quasi-Monte Carlo Software.
CoRR, 2023

Computationally Efficient and Error Aware Surrogate Construction for Numerical Solutions of Subsurface Flow Through Porous Media.
CoRR, 2023

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

2019
Fast automatic Bayesian cubature using lattice sampling.
Stat. Comput., 2019

2017
Local adaption for approximation and minimization of univariate functions.
J. Complex., 2017

2015
GAIL - Guaranteed Automatic Integration Library in MATLAB: Documentation for Version 2.1.
CoRR, 2015

2014
The cost of deterministic, adaptive, automatic algorithms: Cones, not balls.
J. Complex., 2014

Tractability of Function Approximation with Product Kernels.
Proceedings of the Monte Carlo and Quasi-Monte Carlo Methods, 2014

Adaptive Multidimensional Integration Based on Rank-1 Lattices.
Proceedings of the Monte Carlo and Quasi-Monte Carlo Methods, 2014

Reliable Adaptive Cubature Using Digital Sequences.
Proceedings of the Monte Carlo and Quasi-Monte Carlo Methods, 2014

2012
On Dimension-independent Rates of Convergence for Function Approximation with Gaussian Kernels.
SIAM J. Numer. Anal., 2012

Weighted compound integration rules with higher order convergence for all N.
Numer. Algorithms, 2012

Multivariate interpolation with increasingly flat radial basis functions of finite smoothness.
Adv. Comput. Math., 2012

2011
Deterministic multi-level algorithms for infinite-dimensional integration on R<sup>N</sup>.
J. Complex., 2011

Reproducing Kernel Banach Spaces with the l1 Norm
CoRR, 2011

2010
Multi-level Monte Carlo algorithms for infinite-dimensional integration on R<sup>N</sup>.
J. Complex., 2010

2009
A multivariate fast discrete Walsh transform with an application to function interpolation.
Math. Comput., 2009

Evaluating Expectations of Functionals of Brownian Motions: a Multilevel Idea.
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.
SIAM J. Numer. Anal., 2006

Linear error-block codes.
Finite Fields Their Appl., 2006

2005
A Piecewise Constant Algorithm for Weighted L<sub>1</sub> Approximation over Bounded or Unbounded Regions in R<sup>s</sup>.
SIAM J. Numer. Anal., 2005

Strong tractability of integration using scrambled Niederreiter points.
Math. Comput., 2005

Approximation on anisotropic Besov classes with mixed norms by standard information.
J. Complex., 2005

2004
On strong tractability of weighted multivariate integration.
Math. Comput., 2004

On tractability of weighted integration over bounded and unbounded regions in Real<sup>s</sup>.
Math. Comput., 2004

Optimal quadrature for Haar wavelet spaces.
Math. Comput., 2004

A Scalable Low Discrepancy Point Generator for Parallel Computing.
Proceedings of the Parallel and Distributed Processing and Applications, 2004

2003
Algorithm 823: Implementing scrambled digital sequences.
ACM Trans. Math. Softw., 2003

The distribution of the discrepancy of scrambled digital (t, m, s)-nets.
Math. Comput. Simul., 2003

The existence of good extensible rank-1 lattices.
J. Complex., 2003

My dream quadrature rule.
J. Complex., 2003

2002
The error bounds and tractability of quasi-Monte Carlo algorithms in infinite dimension.
Math. Comput., 2002

The Discrepancy and Gain Coefficients of Scrambled Digital Nets.
J. Complex., 2002

2002 Best Paper Award Committee.
J. Complex., 2002

2001
Testing multivariate uniformity and its applications.
Math. Comput., 2001

Integration and Approximation Based on Scramble Sampling in Arbitrary Dimensions.
J. Complex., 2001

Tractability of Multivariate Integration for Periodic Functions.
J. Complex., 2001

The Price of Pessimism for Multidimensional Quadrature.
J. Complex., 2001

Special Issue on the Complexity of Multivariate Problems.
J. Complex., 2001

Integration of Multivariate Haar Wavelet Series.
Proceedings of the Wavelet Analysis and Its Applications, Second International Conference, 2001

2000
Extensible Lattice Sequences for Quasi-Monte Carlo Quadrature.
SIAM J. Sci. Comput., 2000

The Mean Square Discrepancy of Scrambled (<i>t</i>, <i>s</i>)-Sequences.
SIAM J. Numer. Anal., 2000

Integration and approximation in arbitrary dimensions.
Adv. Comput. Math., 2000

1999
The asymptotic efficiency of randomized nets for quadrature.
Math. Comput., 1999

Radial basis function approximations as smoothing splines.
Appl. Math. Comput., 1999

1998
A generalized discrepancy and quadrature error bound.
Math. Comput., 1998

1996
The Mean Square Discrepancy of Randomized Nets.
ACM Trans. Model. Comput. Simul., 1996


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