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- James N. Lyness, J. J. Kaganove
- ACM Trans. Math. Softw.
- 1976

General properties of automatic quadrature routines are described, and the conflict between reliablhty and economy whmh arises when one constructs such a routine is discussed m detail. The concept ofâ€¦ (More)

- Giovanni Monegato, James N. Lyness
- Numerische Mathematik
- 1998

In this paper we compare G p the Mellin transform together with its analytic continuation and G p the related Hadamard nite part integral of a function g x which decays exponentially at in nity andâ€¦ (More)

The Weeks method for calculating numerical values of f(t) from its Laplace transform F(s) involves the numerical evaluation of a set of contour integrals. In this paper, we describe a powerfulâ€¦ (More)

- James N. Lyness
- Commun. ACM
- 1970

comment Functional procedure nielin, of the integer type, solves a system of simultaneous nonlinear algebraic or trans-cendental equations. Let us consider a given system of n equations with nâ€¦ (More)

- James N. Lyness
- 2010

The conventional Fourier coefficient asymptotic expansion is derived by means of a specific contour integration. An adjusted expansion is obtained by deforming this contour. A correspondingâ€¦ (More)

We introduce a criterion for the evaluation of multidimensional quadrature, or cubature, rules for the hypercube: this is the merit of a rule which is closely related to its trigonometric degree andâ€¦ (More)

- James N. Lyness
- 2010

In a previous paper (Lyness and Moler [1]), several closely related formulas of use for obtaining a derivative of an analytic function numerically are derived. Each of these formulas consists of aâ€¦ (More)

- Burton S. Garbow, Giulio Giunta, James N. Lyness, Almerico Murli
- ACM Trans. Math. Softw.
- 1988

A software package based on a modification of the Weeks' method is presented for calculating function values <italic>f</italic>(<italic>t</italic>) of the inverse Laplace transform. This methodâ€¦ (More)

- Burton S. Garbow, Giulio Giunta, James N. Lyness, Almerico Murli
- ACM Trans. Math. Softw.
- 1988

Here we present a brief documentation of the software package WEEKS written in FORTRAN 77. The mathematical background and general information about its performance are described in the accompanyingâ€¦ (More)

- Ronald Cools, James N. Lyness
- Math. Comput.
- 2001

A systematic search for optimal lattice rules of specified trigonometric degree d over the hypercube [0, 1)s has been undertaken. The search is restricted to a population K(s, Î´) of lattice rulesâ€¦ (More)