Fred J. Hickernell
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Publications

Fred Hickernell’s publications, organized by year and searchable by title, author, and venue.

Browse by year, or search titles, coauthors, and publication venues. Public preprints and forthcoming work are identified in the catalog.

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144 records · 1977–2026

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2026

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

A. Jain; F. J. Hickernell; A. B. Owen; A. G. Sorokin

Inf. Inference

Journal articles · Forthcoming Online version

QMCPy: A Python framework for (quasi-)Monte Carlo algorithms

A. G. Sorokin; F. J. Hickernell; S.-C. T. Choi; R. Jagadeeswaran; P. Robbe; A. Jain

J. Open Source Software, 11

Journal articles DOI

QMCPy: A quasi-Monte Carlo Python library (version 2.3)

S.-C. T. Choi; F. J. Hickernell; R. Jagadeeswaran; A. Jain; A. Sorokin

Software DOI Online version

Quasi-Monte Carlo methods: What, why, and how?

F. J. Hickernell; N. Kirk; A. G. Sorokin

Monte Carlo and quasi-Monte Carlo methods: MCQMC, Waterloo, Canada, August 2024

Chapters & conference papers · Forthcoming Online version

2025

Fast bayesian multilevel quasi-Monte Carlo

A. G. Sorokin; P. Robbe; G. Geraci; M. S. Eldred; F. J. Hickernell

Other publications · Public preprint · Source year: 2025+ Online version

Fast Gaussian process regression for high dimensional functions with derivative information

A. G. Sorokin; F. J. Hickernell; P. Robbe

Proc. Mach. Learn. res.

Chapters & conference papers

QMCPy: A quasi-Monte Carlo Python library (versions 1.0–2.0)

S.-C. T. Choi; F. J. Hickernell; R. Jagadeeswaran; M. McCourt; A. Sorokin

Software DOI Online version

2024

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

O. Emenike; F. J. Hickernell; P. Kritzer

J. Complexity, 84, 101856

Journal articles DOI

Challenges in developing great quasi-Monte Carlo software

S.-C. T. Choi; Y. Ding; F. J. Hickernell; R. Jagadeeswaran; A. G. Sorokin

Monte Carlo and quasi-Monte Carlo methods: MCQMC, Linz, austria, July 2022, 209-222

Chapters & conference papers DOI

Computationally efficient and error aware surrogate construction for numerical solutions of subsurface flow through porous media

A. G. Sorokin; A. Pachalieva; D. O’Malley; J. M. Hyman; F. J. Hickernell; N. W. Hengartner

Adv. Water Resources, 193, 104836

Journal articles DOI

2022

Fast automatic Bayesian cubature using Sobol’ sampling

R. Jagadeeswaran; F. J. Hickernell

Advances in modeling and simulation: Festschrift in honour of Pierre L’Ecuyer, 301-318

Chapters & conference papers DOI

Guaranteed automatic integration library (GAIL): An open-source MATLAB library for function approximation, minimization, and integration

X. Tong; S.-C. T. Choi; Y. Ding; F. J. Hickernell; L. Jiang; Ll. A. Jiménez Rugama; R. Jagadeeswaran; K. Zhang; Y. Zhang; X. Zhou

J. Open Res. Software, 10, 7

Journal articles DOI

Quasi-Monte Carlo software

S.-C. T. Choi; F. J. Hickernell; R. Jagadeeswaran; M. J. McCourt; A. G. Sorokin

Monte Carlo and quasi-Monte Carlo methods: MCQMC, Oxford, england, August 2020, 23-50

Chapters & conference papers Online version

2021

GAIL: Guaranteed Automatic Integration Library (versions 1.0–2.3.2)

S.-C. T. Choi; Y. Ding; F. J. Hickernell; L. Jiang; Ll. A. Jiménez Rugama; D. Li; R. Jagadeeswaran; X. Tong; K. Zhang; Y. Zhang; X. Zhou

Software DOI Online version

2020

Adaptive approximation for multivariate linear problems with inputs lying in a cone

Y. Ding; F. J. Hickernell; P. Kritzer; S. Mak

Multivariate algorithms and information-based complexity, 109-145

Chapters & conference papers DOI

An adaptive algorithm employing continuous linear functionals

Y. Ding; F. J. Hickernell; Ll. A. Jiménez Rugama

Monte Carlo and quasi-Monte Carlo methods: MCQMC, Rennes, france, July 2018, 324, 161-181

Chapters & conference papers DOI

Exponential tractability of linear tensor product problems

F. J. Hickernell; P. Kritzer; H. Woźniakowski

2018 MATRIX annals, 61-78

Chapters & conference papers

GAIL: Guaranteed Automatic Integration Library (versions 1.0–2.3.1)

S.-C. T. Choi; Y. Ding; F. J. Hickernell; L. Jiang; Ll. A. Jiménez Rugama; D. Li; R. Jagadeeswaran; X. Tong; K. Zhang; Y. Zhang; X. Zhou

Software DOI Online version

Is a transformed low discrepancy design also low discrepancy?

Y. Li; L. Kang; F. J. Hickernell

Contemporary experimental design, multivariate analysis and data mining (festschrift in honour of professor kai-Tai fang), 69-92

Chapters & conference papers DOI

Multivariate algorithms and information-based complexity

F. J. Hickernell; P. Kritzer (editors)

DeGruyter

Edited volumes

2019

Comment on “Probabilistic integration: A role in statistical computation?”

F. J. Hickernell; R. Jagadeeswaran

Statist. Sci., 34, 23-28

Other publications DOI

Fast automatic Bayesian cubature using lattice sampling

R. Jagadeeswaran; F. J. Hickernell

Stat. Comput., 29, 1215-1229

Journal articles DOI

GAIL: Guaranteed Automatic Integration Library (versions 1.0–2.3)

S.-C. T. Choi; Y. Ding; F. J. Hickernell; L. Jiang; Ll. A. Jiménez Rugama; D. Li; R. Jagadeeswaran; X. Tong; K. Zhang; Y. Zhang; X. Zhou

Software Online version

2018

Adaptive quasi-Monte Carlo methods for cubature

F. J. Hickernell; Ll. A. Jiménez Rugama; D. Li

Contemporary computational mathematics — a celebration of the 80th birthday of Ian Sloan, 597-619

Chapters & conference papers DOI

Monte Carlo simulation, automatic stopping criteria for

F. J. Hickernell; S.-C. T. Choi; L. Jiang; Ll. A. Jiménez Rugama

Wiley StatsRef-statistics reference online

Chapters & conference papers DOI

The trio identity for quasi-Monte Carlo error analysis

F. J. Hickernell

Monte Carlo and quasi-Monte Carlo methods: MCQMC, Stanford, USA, August 2016, 3-27

Chapters & conference papers DOI

2017

Iterative construction of replicated designs based on Sobol’ sequences

L. Gilquin; Ll. A. Jiménez Rugama; E. Arnaud; F. J. Hickernell; H. Monod; C. Prieur

C. R. Math. Acad. Sci. Paris, 355, 10-14

Journal articles DOI

Local adaption for approximation and minimization of univariate functions

S.-C. T. Choi; Y. Ding; F. J. Hickernell; X. Tong

J. Complexity, 40, 17-33

Journal articles DOI Online version

2016

Adaptive multidimensional integration based on rank-1 lattices

Ll. A. Jiménez Rugama; F. J. Hickernell

Monte Carlo and quasi-Monte Carlo methods: MCQMC, Leuven, Belgium, April 2014, 163, 407-422

Chapters & conference papers Online version

Reliable adaptive cubature using digital sequences

F. J. Hickernell; Ll. A. Jiménez Rugama

Monte Carlo and quasi-Monte Carlo methods: MCQMC, Leuven, Belgium, April 2014, 163, 367-383

Chapters & conference papers Online version

Tractability of the radial function approximation problem with kernels of a product form

X. Zhou; F. J. Hickernell

Monte Carlo and quasi-Monte Carlo methods: MCQMC, Leuven, Belgium, April 2014, 163, 583-598

Chapters & conference papers Online version

2015

GAIL—Guaranteed Automatic Integration Library in MATLAB: Documentation for version 2.1

Sou-Cheng T. Choi; Yuhan Ding; Fred J. Hickernell; Lan Jiang; Ll. A. Jiménez Rugama; Xin Tong; Yizhi Zhang; Xuan Zhou

arXiv:1503.06544

Journal articles · Public preprint Online version

Solving support vector machines in reproducing kernel Banach spaces with positive definite functions

G. E. Fasshauer; F. J. Hickernell; Q. Ye

Appl. Comput. Harmon. Anal., 38, 115-139

Journal articles DOI

2014

Design of experiments for linear regression models when gradient information is available

Y. Li; F. J. Hickernell

J. Statist. Plann. Inference, 144, 141-151

Journal articles DOI

Guaranteed conservative confidence intervals for means of Bernoulli random variables

L. Jiang; F. J. Hickernell

Other publications · Public preprint Online version

Initiating a programmatic assessment report

Z. Berkaliev; S. Devi; G. E. Fasshauer; F. J. Hickernell; O. Kartal; X. Li; P. McCray; S. Whitney; J. S. Zawojewski

PRIMUS, 24, 403-420

Journal articles DOI

On Hamming distance matrix

X. Y. Zeng; F. J. Hickernell

Comm. Appl. Math. Comput., 28, 502-509

Journal articles DOI

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

N. Clancy; Y. Ding; C. Hamilton; F. J. Hickernell; Y. Zhang

J. Complexity, 30, 21-45

Journal articles DOI

2013

GAIL: Guaranteed Automatic Integration Library (version 1)

S.-C. T. Choi; Y. Ding; F. J. Hickernell; L. Jiang; Y. Zhang

Software Online version

Guaranteed conservative fixed width confidence intervals via Monte Carlo sampling

F. J. Hickernell; L. Jiang; Y. Liu; A. B. Owen

Monte Carlo and quasi-Monte Carlo methods 2012, 65, 105-128

Chapters & conference papers DOI

Reproducing kernel Banach spaces with the ℓ1\ell^1 norm

G. Song; H. Zhang; F. J. Hickernell

Appl. Comput. Harmon. Anal., 34, 96-116

Journal articles DOI

2012

Average case approximation: Convergence and tractability of Gaussian kernels

G. E. Fasshauer; F. J. Hickernell; H. Woźniakowski

Monte Carlo and quasi-Monte Carlo methods 2010, 23, 329-344

Chapters & conference papers

Multivariate interpolation with increasingly flat radial basis functions of finite smoothness

G. Song; J. Riddle; G. E. Fasshauer; F. J. Hickernell

Adv. Comput. Math., 36, 485-501

Journal articles DOI

On dimension-independent rates of convergence for function approximation with Gaussian kernels

G. E. Fasshauer; F. J. Hickernell; H. Woźniakowski

SIAM J. Numer. Anal., 50, 247-271

Journal articles DOI

Weighted compound integration rules with higher order convergence for all NN

F. J. Hickernell; P. Kritzer; F. Y. Kuo; D. Nuyens

Numer. Algorithms, 59, 161-183

Journal articles DOI

2011

Deterministic multi-level algorithms for infinite-dimensional integration on ℝℕ\mathbb{R}^{\mathbb{N}}

B. Niu; F. J. Hickernell; T. Müller-Gronbach; K. Ritter

J. Complexity, 27, 331-351

Journal articles DOI

Optimality criteria for multiresponse linear models based on predictive ellipsoids

X. Liu; R.-X. Yue; F. J. Hickernell

Statist. Sinica, 21, 421-432

Journal articles

Orthogonal bases for polynomial regression with derivative information in uncertainty quantification

Y. Li; M. Anitescu; O. Roderick; F. J. Hickernell

Internat. J. Uncertain. Quant., 1, 297-320

Journal articles DOI

2010

Monte Carlo simulation of stochastic integrals when the cost of function evaluation is dimension dependent

B. Niu; F. J. Hickernell

Monte Carlo and quasi-Monte Carlo methods 2008, 545-560

Chapters & conference papers

Multi-level Monte Carlo algorithms for infinite-dimensional integration on ℝℕ\mathbb{R}^\mathbb{N}

F. J. Hickernell; T. Müller-Gronbach; B. Niu; K. Ritter

J. Complexity, 26, 229-254

Journal articles DOI

On energy, discrepancy and group invariant measures on measurable subsets of Euclidean space

S. Damelin; F. J. Hickernell; D. L. Ragozin; X. Y. Zeng

J. Fourier Anal. Appl., 16, 813-839

Journal articles DOI

2009

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

K. I. Liu; J. Dick; F. J. Hickernell

Math. Comp., 78, 1573-1591

Journal articles DOI

Simplified analytical expressions for numerical differentiation via cycle index

F. J. Hickernell; S. Yang

J. Comput. Appl. Math., 224, 433-443

Journal articles DOI

Spline methods using integration lattices and digital nets

X. Y. Zeng; P. Kritzer; F. J. Hickernell

Constr. Approx., 30, 529-555

Journal articles DOI

Universal optimality of net and lattice designs

M. Ai; F. J. Hickernell

Sci. China Ser. A, 52, 2309-2320

Journal articles DOI

2008

An algorithm-driven approach to error analysis for multidimensional integration

F. J. Hickernell; J. Dick

Int. J. Numer. Anal. Model., 5, 167-189

Journal articles

Explicit Hermite interpolation polynomials via the cycle index with applications

F. J. Hickernell; S. Yang

Int. J. Numer. Anal. Model., 5, 457-465

Journal articles

Optimal foldover plans for regular ss-level fractional factorial designs

M. Ai; F. J. Hickernell; D. K. J. Lin

Statist. Probab. Lett., 78, 896-903

Journal articles

Some necessary uniform tests for spherical symmetry

J. J. Liang; K. T. Fang; F. J. Hickernell

Ann. Inst. Statist. Math., 60, 679-696

Journal articles DOI

Tractability of linear multivariate problems in the average case setting

F. J. Hickernell; G. W. Wasilkowski; H. Woźniakowski

Monte Carlo and quasi-Monte Carlo methods 2006, 423-452

Chapters & conference papers

Uniform experimental design

K. T. Fang; F. J. Hickernell

Encyclopedia of statistics in quality and reliability, 2037-2040

Chapters & conference papers

2007

Energy and discrepancy as designs for numerical computation

S. B. Damelin; F. J. Hickernell

Proc. 2007 international conference on computational and mathematical methods in science and engineering, 143-147

Other publications

2006

A stabilized uniform q-q plot to detect non-multinormality

K. T. Fang; J. J. Liang; F. J. Hickernell; R. Li

Random walks, sequential analysis and related topics, 254-268

Chapters & conference papers

Connections among different criteria for asymmetrical fractional factorial designs

M. Q. Liu; K. T. Fang; F. J. Hickernell

Statist. Sinica, 16, 1285-1297

Journal articles

Error analysis of splines for periodic problems using lattice designs

X. Y. Zeng; K. T. Leung; F. J. Hickernell

Monte Carlo and quasi-Monte Carlo methods 2004, 501-514

Chapters & conference papers

Experimental designs using digital nets with small numbers of points

K. I. Liu; F. J. Hickernell

Monte Carlo and quasi-Monte Carlo methods 2004, 343-354

Chapters & conference papers

Koksma-Hlawka inequality

F. J. Hickernell

Encyclopedia of statistical sciences, 6, 3862-3867

Chapters & conference papers

Linear error-block codes

K. Feng; L. Xu; F. J. Hickernell

Finite Fields Appl., 12, 638-652

Journal articles

Strong tractability of quasi-Monte Carlo quadrature using nets for certain Banach spaces

R. X. Yue; F. J. Hickernell

SIAM J. Numer. Anal., 44, 2559-2583

Journal articles DOI

The relationship between discrepancies defined on a domain and on its subset

M. Q. Liu; F. J. Hickernell

Metrika, 63, 317-327

Journal articles

2005

A piece-wise constant algorithm for weighted L1L_1 approximation over bounded or unbounded regions

F. J. Hickernell; I. H. Sloan; G. W. Wasilkowski

SIAM J. Numer. Anal., 43, 1003-1020

Journal articles

Approximation on anisotropic multivariate Besov classes of functions by standard information

G. Fang; F. J. Hickernell; H. Li

J. Complexity, 294-313

Journal articles

Control variates for quasi-Monte Carlo

F. J. Hickernell; C. Lemieux; A. B. Owen

Statist. Sci., 20, 1-31

Journal articles DOI

Granularity and balance in experimental design

F. J. Hickernell

Contemporary multivariate analysis and experimental design, 2, 185-203

Chapters & conference papers

Strong tractability of integration using scrambled Niederreiter points

R. X. Yue; F. J. Hickernell

Math. Comp., 74, 1871-1893

Journal articles

2004

A scalable low discrepancy point generator for parallel computing

K. I. Liu; F. J. Hickernell

Parallel and distributed processing and applications, 3358, 257-262

Chapters & conference papers

On strong tractability of weighted multivariate integration

F. J. Hickernell; I. H. Sloan; G. W. Wasilkowski

Math. Comp., 73, 1903-1911

Journal articles DOI

On tractability of weighted integration for certain Banach spaces of functions

F. J. Hickernell; I. H. Sloan; G. W. Wasilkowski

Monte Carlo and quasi-Monte Carlo methods 2002, 51-71

Chapters & conference papers

On tractability of weighted integration over bounded and unbounded regions in ℝs\mathbb{R}^s

F. J. Hickernell; I. H. Sloan; G. W. Wasilkowski

Math. Comp., 73, 1885-1901

Journal articles DOI

Optimal quadrature for Haar wavelet spaces

S. Heinrich; F. J. Hickernell; R. X. Yue

Math. Comp., 73, 259-277

Journal articles

The strong tractability of multivariate integration using lattice rules

F. J. Hickernell; I. H. Sloan; G. W. Wasilkowski

Monte Carlo and quasi-Monte Carlo methods 2002, 259-273

Chapters & conference papers

2003

Algorithm 823: Implementing scrambled digital nets

H. S. Hong; F. J. Hickernell

ACM Trans. Math. Software, 29, 95-109

Journal articles DOI

My dream quadrature rule

F. J. Hickernell

J. Complexity, 19, 420-427

Chapters & conference papers

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

H. S. Hong; F. J. Hickernell; G. Wei

Math. Comput. Simulation, 62, 335-345

Journal articles

The existence of good extensible rank-1 lattices

F. J. Hickernell; H. Niederreiter

J. Complexity, 19, 286-300

Journal articles

Trigonometric spectral collocation methods on lattices

D. Li; F. J. Hickernell

Recent advances in scientific computing and partial differential equations, 330, 121-132

Chapters & conference papers

2002

E(s2){E(s^2)}-optimality and minimum discrepancy in 2-level supersaturated designs

M. Q. Liu; F. J. Hickernell

Statist. Sinica, 12, 931-939

Journal articles

An historical overview of lattice point sets

Y. Wang; F. J. Hickernell

Monte Carlo and quasi-Monte Carlo methods 2000, 158-167

Chapters & conference papers

Monte Carlo and quasi-Monte Carlo methods 2000

K. T. Fang; F. J. Hickernell; H. Niederreiter (editors)

Springer-Verlag, Berlin

Edited volumes

Obtaining O(N−2+ϵ)O(N^{-2+\epsilon}) convergence for lattice quadrature rules

F. J. Hickernell

Monte Carlo and quasi-Monte Carlo methods 2000, 274-289

Chapters & conference papers

Quasi-Monte Carlo methods and their randomizations

F. J. Hickernell; H. S. Hong

Applied probability, 26, 59-77

Chapters & conference papers

Robust designs for smoothing spline ANOVA models

R. X. Yue; F. J. Hickernell

Metrika, 55, 161-176

Journal articles

The discrepancy and gain coefficients of scrambled digital nets

R. X. Yue; F. J. Hickernell

J. Complexity, 18, 135-151

Journal articles

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

F. J. Hickernell; X. Wang

Math. Comp., 71, 1641-1661

Journal articles DOI

Uniform designs limit aliasing

F. J. Hickernell; M. Q. Liu

Biometrika, 89, 893-904

Journal articles DOI

2001

Integration and approximation based on scramble sampling in arbitrary dimensions

R. X. Yue; F. J. Hickernell

J. Complexity, 17, 881-897

Journal articles

Integration of multivariate Haar wavelet series

S. Heinrich; F. J. Hickernell; R. X. Yue

Wavelet analysis and its applications, 99-106

Chapters & conference papers

Special issue on the complexity of multivariate problems

F. J. Hickernell; H. Woźniakowski (editors)

Academic Press, Orlando, FL, 17, no. 4

Edited volumes

Testing multivariate uniformity and its applications

J. J. Liang; K. T. Fang; F. J. Hickernell; R. Li

Math. Comp., 70, 337-355

Journal articles

The price of pessimism for multidimensional quadrature

F. J. Hickernell; H. Woźniakowski

J. Complexity, 17, 625-659

Journal articles

Tractability of multivariate integration for periodic functions

F. J. Hickernell; H. Woźniakowski

J. Complexity, 17, 660-682

Journal articles DOI

2000

Discrepancy measures of uniformity

F. J. Hickernell; M. Q. Liu; Y. C. Yam

J. Chinese Statistical Association, 38, 353-373

Journal articles

Extensible lattice sequences for quasi-Monte Carlo quadrature

F. J. Hickernell; H. S. Hong; P. L’Écuyer; C. Lemieux

SIAM J. Sci. Comput., 22, 1117-1138

Journal articles DOI

Integration and approximation in arbitrary dimensions

F. J. Hickernell; H. Woźniakowski

Adv. Comput. Math., 12, 25-58

Journal articles DOI

Randomized Halton sequences

X. Wang; F. J. Hickernell

Math. Comput. Modelling, 32, 887-899

Journal articles

The mean square discrepancy of scrambled (t,s)(t,s)-sequences

F. J. Hickernell; R. X. Yue

SIAM J. Numer. Anal., 38, 1089-1112

Journal articles DOI

What affects the accuracy of quasi-Monte Carlo quadrature?

F. J. Hickernell

Monte Carlo and quasi-Monte Carlo methods 1998, 16-55

Chapters & conference papers

1999

Goodness-of-fit statistics, discrepancies and robust designs

F. J. Hickernell

Statist. Probab. Lett., 44, 73-78

Journal articles DOI

Radial basis function approximation as smoothing splines

F. J. Hickernell; Y. C. Hon

Appl. Math. Comput., 102, 1-24

Journal articles

Robust designs for fitting linear models with misspecification

R. X. Yue; F. J. Hickernell

Statist. Sinica, 9, 1053-1069

Journal articles

The asymptotic efficiency of randomized nets for quadrature

F. J. Hickernell; H. S. Hong

Math. Comp., 68, 767-791

Journal articles

1998

A generalized discrepancy and quadrature error bound

F. J. Hickernell

Math. Comp., 67, 299-322

Journal articles DOI

Lattice rules: How well do they measure up?

F. J. Hickernell

Random and quasi-random point sets, 138, 109-166

Chapters & conference papers

Radial basis function approximation of the surface wind field from scattered data

F. J. Hickernell; Y. C. Hon

Internat. J. Appl. Sci. Comput., 4, 221-247

Journal articles

1997

A goodness-of-fit test for linearity of a stochastic regression model

L. X. Zhu; F. J. Hickernell; H. Z. An

Chinese J. Contemp. Math., 18, 199-206

Journal articles

A new class of consistent estimators for stochastic linear regressive models

H. Z. An; F. J. Hickernell; L. X. Zhu

J. Multivariate Anal., 63, 242-258

Journal articles

A simple multi-start algorithm for global optimization

F. J. Hickernell; Y. X. Yuan

Oper. Res. Trans., 1, 1-11

Journal articles

Computing multivariate normal probabilities using rank-1 lattice sequences

F. J. Hickernell; H. S. Hong

Proceedings of the workshop on scientific computing, 209-215

Chapters & conference papers

Statistical modeling for the optimal deposition of sputtered piezoelectric films

F. J. Hickernell; R. X. Yue; F. S. Hickernell

IEEE Trans. Ultrason., Ferroelectrics & Frequency Control, 44, 615-623

Journal articles

1996

Comment on “Experimental design and observation for large systems”, by R. A. Bates et. al.

K. T. Fang; F. J. Hickernell

J. Roy. Statist. Soc. B, 58, 103

Other publications

Quadrature error bounds with applications to lattice rules

F. J. Hickernell

SIAM J. Numer. Anal., 33, 1995-2016

Journal articles

Regression transformation diagnostics for explanatory variables

B. C. Wei; F. J. Hickernell

Statist. Sinica, 6, 433-454

Journal articles

Some global optimization algorithms in statistics

K. T. Fang; F. J. Hickernell; P. Winker

Operations research and its applications, 2, 14-24

Chapters & conference papers

The mean square discrepancy of randomized nets

F. J. Hickernell

ACM Trans. Model. Comput. Simul., 6, 274-296

Journal articles

1995

A comparison of random and quasirandom points for multidimensional quadrature

F. J. Hickernell

Monte Carlo and quasi-Monte Carlo methods in scientific computing, 106, 213-227

Chapters & conference papers

The uniform design and its applications

K. T. Fang; F. J. Hickernell

Bull. Inst. Internat. Statist., 50th50^{\mbox{th}} Session, Book 1, 333-349

Chapters & conference papers

Universally consistent estimation for stochastic regression models

H. Z. An; F. J. Hickernell; L. X. Zhu

Chinese Sci. Bull., 40, 802-807

Journal articles

1994

A class of asymptotically optimal sequential tests for composite hypotheses

J. D. Chen; F. J. Hickernell

Sci. China Ser. A, 37, 1314-1324

Journal articles

1989

Linear stability of immiscible displacement processes in porous media

Y. C. Yortsos; F. J. Hickernell

SIAM J. Appl. Math., 49, 730-748

Journal articles

1988

Comp-u-calc (software and user’s manual/workbook)

W. Proskurowski; F. J. Hickernell

Saunders College Publishing

Software

Simulation studies of the automatic control of a blast furnace process

M. K. Chan; M. J. Li; F. J. Hickernell; S. J. Hu; S. K. Ng; H. M. Ngai; C. C. Barnett; W. M. Holmes

Proc. 1988 summer computer simulation conference, 881-885

Other publications

1987

Design of a calculus microcomputer laboratory

F. Hickernell; W. Proskurowski

Comput. Math. Appl., 14, 3-24

Journal articles

1986

Linear stability of miscible displacement processes in porous media in the absence of dispersion

F. J. Hickernell; Y. C. Yortsos

Stud. Appl. Math, 74, 93-115

Journal articles

1985

An upper bound on the growth rate of a linear instability in a homogeneous shear flow

F. J. Hickernell

Stud. Appl. Math, 72, 87-93

Journal articles

The use of microcomputers in the teaching of calculus

F. Hickernell; W. Proskurowski

Collegiate Microcomputer, 3, 111-125

Journal articles

1984

Teaching calculus with computers at USC

F. Hickernell; W. Proskurowski

SIAM News, 18, 5, 16

Other publications

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

F. J. Hickernell

J. Fluid Mech., 142, 431-449

Journal articles

1983

The evolution of large-horizontal-scale disturbances in marginally stable, inviscid, shear flows. I. Derivation of the amplitude evolution equations

F. J. Hickernell

Stud. Appl. Math, 69, 1-21

Journal articles DOI

The evolution of large-horizontal-scale disturbances in marginally stable, inviscid, shear flows. II. Solutions of the Boussinesq equation

F. J. Hickernell

Stud. Appl. Math, 69, 23-49

Journal articles DOI

1979

Conformational analysis of conjugated polyenes by nuclear magnetic resonance and low resolution microwave spectroscopy

W. E. Steinmetz; J. E. Pollard; J. M. Blaney; B. K. Winker; I. K. Mun; F. J. Hickernell; S. J. Hollenberg

J. Phys. Chem., 83, 1540-1545

Journal articles

1978

Conformational analysis of substituted alkenes by low resolution microwave spectroscopy

W. E. Steinmetz; J. Hollenberg; F. Hickernell; C. E. Orr; L. H. Scharpen

J. Phys. Chem., 82, 940-943

Journal articles

1977

On the steady state of an age dependent model for malaria

R. H. Elderkin; D. P. Berkowitz; F. A. Farris; C. F. Gunn; F. J. Hickernell; S. N. Kass; F. I. Mansfield; R. G. Taranto

Nonlinear systems and applications: An international conference, 491-512

Chapters & conference papers

The conformational analysis of 1-haloalkanes by low resolution microwave spectroscopy

W. E. Steinmetz; F. Hickernell; I. K. Mun; L. H. Scharpen

J. Molec. Spectro., 68, 173-182

Journal articles

The effect of the structure and composition of zinc oxide films on their elastic properties

F. J. Hickernell

Proc. 1977 IEEE ultrason. Symp., 309-312

Other publications

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Illinois Institute of Technology