Integration over Multidimensional Hypercubes I. A Progressive Procedure. - James N. Lyness; B. J. J. McHugh (Comput. J., 1963)

Numerical quadrature in n dimensions. - David Mustard; James N. Lyness; John M. Blatt (Comput. J., 1963)

Numerical algorithms based on the theory of complex variable. - James N. Lyness (ACM National Conference, 1967)

The Effect of Inadequate Convergence Criteria in Automatic Routines. - James N. Lyness (Comput. J., 1969)

Notes on the Adaptive Simpson Quadrature Routine. - James N. Lyness (J. ACM, 1969)

Algorithm 379: Squank (Simpson Quadrature used adaptivity - noise killed) [D1]. - James N. Lyness (Commun. ACM, 1970)

Guidelines for Automatic Quadrature Routines. - James N. Lyness (IFIP Congress (2), 1971)

ENTCAF and ENTCRE: Evaluation of Normalized Taylor Coefficients of an Analytic Function [C5] (Algorithm 413). - James N. Lyness (Commun. ACM, 1971)

Comments on the Nature of Automatic Quadrature Routines. - James N. Lyness; J. J. Kaganove (ACM Trans. Math. Softw., 1976)

A Technique for Comparing Automatic Quadrature Routines. - James N. Lyness; J. J. Kaganove (Comput. J., 1977)

Remarks about performance profiles. - James N. Lyness (Problems and Methodologies in Mathematical Software Production, 1980)

Double Integration Using One-Dimensional Adaptive Quadrature Routines: A Software Interface Problem. - Fred N. Fritsch; David K. Kahaner; James N. Lyness (ACM Trans. Math. Softw., 1981)

Algorithm 639: To integrate some infinite oscillating tails. - James N. Lyness; Gwendolen Hines (ACM Trans. Math. Softw., 1986)

Software for an implementation of Weeks' method for the inverse Laplace transform. - Burton S. Garbow; Giulio Giunta; James N. Lyness; Almerico Murli (ACM Trans. Math. Softw., 1988)

Algorithm 662: A Fortran software package for the numerical inversion of the Laplace transform based on Weeks' method. - Burton S. Garbow; Giulio Giunta; James N. Lyness; Almerico Murli (ACM Trans. Math. Softw., 1988)

A Search for Good Lattice Rules Based on the Reciprocal Lattice Generator Matrix. - James N. Lyness; W. Newman (Great Lakes Computer Science Conference, 1989)

Remark on algorithm 662. - Burton S. Garbow; James N. Lyness (ACM Trans. Math. Softw., 1990)

A search program for finding optimal integration lattices. - James N. Lyness; Tor Sørevik (Computing, 1991)

Application of the Smith Normal Form to the Structure of Lattice Rules. - James N. Lyness; Patrick Keast (SIAM J. Matrix Anal. Appl., 1995)

Evaluation of minimization software based on performance profile techniques. - James N. Lyness (Quality of Numerical Software, 1996)

Triangular canonical forms for lattice rules of prime-power order. - James N. Lyness; Stephen Joe (Math. Comput., 1996)

Error expansions for multidimensional trapezoidal rules with Sidi transformations. - P. Verlinden; D. M. Potts; James N. Lyness (Numer. Algorithms, 1997)

The Euler-Maclaurin expansion and finite-part integrals. - Giovanni Monegato; James N. Lyness (Numerische Mathematik, 1998)

Three- and four-dimensional K-optimal lattice rules of moderate trigonometric degree. - Ronald Cools; James N. Lyness (Math. Comput., 2001)

Notes on lattice rules. - James N. Lyness (J. Complex., 2003)

Four-dimensional lattice rules generated by skew-circulant matrices. - James N. Lyness; Tor Sørevik (Math. Comput., 2004)

Asymptotic Expansions for Two-Dimensional Hypersingular Integrals. - James N. Lyness; Giovanni Monegato (Numerische Mathematik, 2005)

Five-dimensional K-optimal lattice rules. - James N. Lyness; Tor Sørevik (Math. Comput., 2006)

Numerical evaluation of a fixed-amplitude variable-phase integral. - James N. Lyness (Numer. Algorithms, 2008)

Very basic multidimensional extrapolation quadrature. - James N. Lyness (The Birth of Numerical Analysis, 2009)