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.

Ly08.pdf
J. N. Lyness, "Numerical Evaluation of a Fixed-Amplitude Variable-Phase Integral," Numer. Algor. 49 (2008), pp. 235-249.

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

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.

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

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.

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.

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

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.

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.

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.

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.

LyRu98.ps and LyRu98.pdf
J. N. Lyness and U. Ruede, "Cubature of Integrands containing Derivatives," Numer. Math. 78 (1998), pp. 439-461.


James Lyness/lyness@mcs.anl.gov