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- J. C. Diaz, Graeme Fairweather, Patrick Keast
- ACM Trans. Math. Softw.
- 1983

- J. C. Diaz, Graeme Fairweather, Patrick Keast
- ACM Trans. Math. Softw.
- 1983

In the numerical solution of boundary-value problems for ordinary differential equations, hnear systems with a partmular block structure are encountered. In this paper two packages of FORTRANâ€¦ (More)

- Gouad Majaess, Patrick Keast, Graeme Fairweather, Karin Remington Bennett
- ACM Trans. Math. Softw.
- 1992

Numerical techniques based on piecewise polynomial (that is, spline) collation at Gaussian points are exceedingly effective for the approximate solution of boundary value problems, both for ordinaryâ€¦ (More)

- Fouad Majaess, Patrick Keast, Graeme Fairweather, Karin Remington Bennett
- ACM Trans. Math. Softw.
- 1992

ABDPACK is a package of FORTRAN programs for the solution of systems of linear equations with the almost block diagonal structure arising in spline collocation at Gaussian points with monomial splineâ€¦ (More)

- Patrick Keast, Paul H. Muir
- ACM Trans. Math. Softw.
- 1991

The software package PDECOL [7] is a popular code among scientists wishing to solve systems of nonlinear partial differential equations. The code is based on a method-of-lines approach, withâ€¦ (More)

- James N. Lyness, Patrick Keast
- SIAM J. Matrix Analysis Applications
- 1995

Two independent approaches to the theory of the lattice rule have been exploited at length in the literature. One is based on the generator matrix A of the lattice A whose elements provide theâ€¦ (More)

- Rong Wang, Patrick Keast, Paul Muir
- 2008

In this paper we describe BACOL, a high-order, spatially and temporally adaptive software package for solving systems of one-dimensional parabolic partial differential equations and then compare itâ€¦ (More)

- R. Wang, Patrick Keast, Paul H. Muir
- ACM Trans. Math. Softw.
- 2008

In this article we discuss a new software package, BACOLR, for the numerical solution of a general class of time-dependent 1-D PDEs. This package employs high-order adaptive methods in time and spaceâ€¦ (More)

- Amy M. Hynick, Patrick Keast, Paul H. Muir
- Mathematical and Computer Modelling
- 2004

In many physical models ordinary differential equations (ODEs) arise with the general form, y'(t)-f(t, y) + g(t), in which abrupt but large changes of limited duration, known as pulses, occur inâ€¦ (More)

A lattice rule is a quadrature rule over an s-dimensional hypercube, using N abscissas located on an integration lattice. In this paper we study sublattices and superlattices of integration latticesâ€¦ (More)