Fred Hickernell's Research

Research Interests: numerical analysis, computational & applied statistics, quasi-Monte Carlo methods, multi-dimensional quadrature, experimental design

Preprints and Publications:
Complete List, Under Review, In Press, 2011, 2010, 2009, 2008, 2007, 2006, 2005, 2004, 2003, 2002, 2001, 2000, 1999, 1998, 1997, 1996

M. Y. Ai and F. J. Hickernell, Optimal foldover plans for regular s-level fractional factorial designs, submitted for publication (ps, pdf).
F. J. Hickernell, K. I. Liu and K. Q. Feng Digital net designs, submitted for publication (ps, pdf).
J. T. Ma, D. Li, and F. J. Hickernell, Chebyshev spectral methods on lattices for high-dimensional partial differential equations, submitted for publication (pdf).

M. N. Wong, F. J. Hickernell and K. I. Liu, Computing the trace of a function of a sparse matrix via Hadamard-like sampling, submitted for publication (ps, pdf).

K. T. Fang and F. J. Hickernell, Uniform experimental design, Encyclopedia of Statistics in Quality and Reliability, (F. Ruggeri, R. Kenett, and F. Faltin, eds.), John Wiley & Sons, New York, to appear.
F. J. Hickernell and S. Yang, Explicit Hermite interpolation polynomials via the cycle index with applications, Int. J. Numer. Anal. Model. to appear.
J. J. Liang, K. T. Fang and F. J. Hickernell, Some necessary uniform tests for spherical and elliptical symmetry, Ann. Inst. Statist. Math. to appear (pdf).