Fred J. Hickernell
Professor and Chair of Applied Mathematics
Ph.D., Massachussetts Institute of Technology

Research Interests:

Numerical analysis, computational complexity, multi-dimensional integration and approximation, quasi-Monte Carlo methods, experimental design.

Selected Publications:

• Strong tractablity of multivariate integration over Banach spaces, with R.X. Yue, SIAM J. Numer. Anal. 44 (2006), 2559—2583.
• Control variates for quasi-Monte Carlo, with C. Lemieux and A.B. Owen, Control variates for quasi-Monte Carlo, Statist. Sci. 20 (2005), 1—31.
• The existence of good extensible rank-1 lattices, with H. Niederreiter, J. Complexity 19 (2003), 286—300.
• Uniform designs limit aliasing, with M.Q. Liu, Biometrika 89 (2002), 893—904.
• A generalized discrepancy and quadrature error bound, Math. Comp. 67 (1998), 299—322. MR 98c:65032, ZM 889.41025.