Mathematical Programming and Numerical Analysis Workshop

Canberra, December 6-8, 1983

Volume 6 in the Proceedings of the Centre for Mathematical Analysis

Preface

Mathematicians from Australia and New Zealand attended a workshop on mathematical programming and numerical analysis at the Australian National University from December 6th to 8th 1983. This volume contains a complete list of the papers presented at the workshop and texts of the numerical analysis papers.

The workshop was sponsored by the Mathematical Sciences Research Centre at the Australian National University and the Centre for Mathematical Analysis. We would like to take this opportunity to thank all the speakers, in particular the invited speakers J. Blake, G. Chandler, B. Craven, B. Murtagh, D. Ryan and I. Sloan. The excellent typing and good humour of Marilyn Gray and Dorothy Nash are also gratefully acknowledged.

S.-Å. Gustafson and R.S. Womersley
(Editors)

Contents

Preface	i
List of Speakers	iii
On the numerical performance of spectral methods R.S. Anderssen	1
Solution of dense systems of linear equations using a fixed size systolic array A.W. Bojanczyk	22
The solution of singular-value and eigenvalue problems on systolic arrays R.P. Brent and F.T. Luk	38
The motion of a wetting front for a Green-AMPT model of infiltration into a cracked soil M.R. Davidson	65
The role of conditioning in the numerical solution of boundary value problems F.R. de Hoog	75
On the determination of the electrical conductivity of the earth's interior from geomagnetic data S.-Å. Gustafson	89
Numerical methods for inverse eigenvalue problems in algebraic control theory L.J. Kautsky, N.K. Nichols and P. Van Dooren	102
Collocation methods for second kind Fredholm integral equations S. Joe	107
Numerical modelling of solidification A.D. Miller	120
Lattices for multiple integration I.H. Sloan and P. Kachoyan	147
Boundary integral methods applied to cavitation bubble dynamics B. Taib, G. Doherty and J.R. Blake	166
Mathematical methods for the seismic inversion problem S.J. Wright	187
Numerical analysis of the boundary integral method G.A. Chandler	211