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Mathematics

D-Index
34
Citations
5448
World Ranking
2900
National Ranking
1176

Overview

Fred J. Hickernell is affiliated with the Illinois Institute of Technology in the United States. Their research spans primarily the field of Mathematics, with significant contributions to subfields including Numerical Analysis, Statistics, Probability and Uncertainty, Computational Theory and Mathematics, and Applied Mathematics.

The scientist's work addresses various topics, notably Mathematical Approximation and Integration, Probabilistic and Robust Engineering Design, Groundwater Flow and Contamination Studies, Markov Chains and Monte Carlo Methods, Mathematical Analysis and Transform Methods, Statistical Methods and Inference, and Matrix Theory and Algorithms.

Recent publications by Fred J. Hickernell include:

  • Computationally efficient and error aware surrogate construction for numerical solutions of subsurface flow through porous media, 2024, Advances in Water Resources
  • Guaranteed Automatic Integration Library (GAIL): An Open-Source MATLAB Library for Function Approximation, Optimization, and Integration, 2022, Journal of Open Research Software
  • A unified treatment of tractability for approximation problems defined on Hilbert spaces, 2024, Journal of Complexity
  • Testing Multivariate Uniformity and Its Applications, 2021, UNC Libraries
  • Quasi-Monte Carlo Software, 2021, arXiv (Cornell University)

Frequent co-authors collaborating with Fred J. Hickernell include:

  • Aleksei G. Sorokin
  • Sou-Cheng T. Choi
  • Jagadeeswaran Rathinavel
  • Peter Kritzer
  • Yuhan Ding

The scientist's work is often published in venues such as:

  • arXiv (Cornell University)
  • Advances in Water Resources
  • Journal of Open Research Software
  • Journal of Complexity
  • UNC Libraries

Best Publications

  • A generalized discrepancy and quadrature error bound

    Fred J. Hickernell

  • Lattice Rules: How Well Do They Measure Up?

    Fred J. Hickernell

  • Randomized Halton sequences

    X. Wang;F. J. Hickernell

  • Monte Carlo and Quasi-Monte Carlo Methods 2000

    Kaitai T. Fang;H. Niederreiter;F. J. Hickernell

  • Algorithm 823: Implementing scrambled digital sequences

    Hee Sun Hong;Fred J. Hickernell

  • Uniform designs limit aliasing

    Fred J. Hickernell;Min‐Qian Liu

  • Extensible Lattice Sequences for Quasi-Monte Carlo Quadrature

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

  • Integration and approximation in arbitrary dimensions

    F.J. Hickernell;H. Woźniakowski;H. Woźniakowski

  • Obtaining O( N - 2+∈ ) Convergence for Lattice Quadrature Rules

    Fred J. Hickernell

  • Goodness-of-fit statistics, discrepancies and robust designs

    Fred J. Hickernell

  • Time-dependent critical layers in shear flows on the beta-plane

    Fred J. Hickernell

  • The existence of good extensible rank-1 lattices

    Fred J. Hickernell;Harald Niederreiter

  • Quadrature Error Bounds with Applications to Lattice Rules

    Fred J. Hickernell

  • Deterministic multi-level algorithms for infinite-dimensional integration on RN

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

  • Linear stability of immiscible displacement in porous media

    Y. C. Yortsos;F. J. Hickernell

  • Multi-level Monte Carlo algorithms for infinite-dimensional integration on RN

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

  • Control variates for quasi-Monte Carlo

    Fred J. Hickernell;Christiane Lemieux;Art B. Owen

  • The mean square discrepancy of randomized nets

    Fred J. Hickernell

  • The Mean Square Discrepancy of Scrambled ( t , s )-Sequences

    Fred J. Hickernell;Rong-Xian Yue

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

    Fred J. Hickernell;Xiaoqun Wang

  • Monte Carlo and quasi-Monte Carlo methods 2000 : proceedings of a conference held at the Hong Kong Baptist University, Hong Kong SAR, China, November 27-December 1, 2000

    Kai-Tang Fang;Fred J. Hickernell

Frequent Co-Authors

Henryk Woźniakowski
Henryk Woźniakowski University of Warsaw
Kai-Tai Fang
Kai-Tai Fang Beijing Normal University
Ian H. Sloan
Ian H. Sloan University of New South Wales
Harald Niederreiter
Harald Niederreiter Austrian Academy of Sciences
Frances Y. Kuo
Frances Y. Kuo University of New South Wales
Mihai Anitescu
Mihai Anitescu Argonne National Laboratory
Josef Dick
Josef Dick University of New South Wales
Art B. Owen
Art B. Owen Stanford University
Pierre L'Ecuyer
Pierre L'Ecuyer University of Montreal
Dennis K. J. Lin
Dennis K. J. Lin Purdue University West Lafayette

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