Recent Papers and Reports by James Lyness 


The papers listed on this page are available for downloading in postscript and pdf format. A complete list is also available.
LyRu98.ps and LyRu98.pdf
J. N. Lyness and U. Ruede, "Cubature of Integrands containing Derivatives," Numer. Math. 78 (1998), pp. 439-461.

MoLy99.ps and MoLy99.pdf
G. Monegato and J. N. Lyness, "The Euler-Maclaurin Expansion and Finite- Part Integrals,' Numer. Math. 81 (1999), pp. 273-291.

LyJo99.ps and LyJo99.pdf
J. N. Lyness and Stephen Joe, "A Constructive Approach to Lattice Rule Canonical Forms," BIT 39 (1999), pp. 701-715.

LyDe98.ps and LyDe98.pdf
J. N. Lyness and L. M. Delves, "On the Implementation of a Modified Sag-Szekeres Quadrature Method," JCAM 112 (1999), pp. 189-200.

LyCo99.ps and LyCo99.pdf
J. Lyness and R. Cools, "Notes on a Search for Optimal Lattice Rules," 5th Int'l Conf. on Cubature Formulas and their Applications," Krasnoyarsk, Russia, Sept. 12-19, 1999.

Ly00.ps and Ly00.pdf
J. N. Lyness, "A Brief Survey of Extrapolation Quadrature," ANZIAM J. 42(pt. 1) (July 2000), pp. 181-184.

CoLy01.ps and CoLy01.pdf
R. Cools and J. N. Lyness, "Three- and Four-Dimensional K-Optimal Lattice Rules of Moderate Trigonometric Degree," Math. Comput. 70(236) (Oct. 2001), pp. 1549-1567.

LySo03.ps and LySo03.pdf
J. N. Lyness and T. Sorevik, "Four-Dimensional Lattice Rules Generated by Skew-Circulant Matrices," Math. Comput. 73(245) (2003), pp. 279-295.

Ly03.ps and Ly03.pdf
J. N. Lyness, "Notes on Lattice Rules," J. Complexity 19(3) (2003), pp. 321-331.

LyJo03.ps and LyJo03.pdf
J. N. Lyness and S. Joe, "The Number of Lattice Rules of Specified Upper Class and Rank," BIT 43 (2003), pp. 413-416.

LySo06.ps and LySo06.pdf
J. N. Lyness and T. Sorevik, "Five-Dimensional K-Optimal Lattice Rules," Math. of Comput. (to appear).


James Lyness/lyness@mcs.anl.gov