NEMACOM - New Methods in Applied and Computational Mathematics Workshop

(Queensland, July 1998)

Volume 38 in the Proceedings of the Centre for Mathematics and its Applications

Preface

In July 1998 the first NEMACOM (NEw Methods in Applied and COmputational Mathematics) workshop was held at the campus of the University of Southern Queensland at Hervey Bay on the Wide-Bay-Burnett coast of Queensland. At the workshop a number of different topics in applied and computational mathematics were presented ranging from computational statistics and stochastic processes, through optimization, optimal control, graph theoretic methods in computational mathematics, the use of dynamical systems techniques for meteorology, modelling the solar atmosphere and geo-hydrological processes, simulating rigid-body dynamics, and the future of the Fast Fourier Transform. In this proceedings we present papers covering a selection of the topics presented. We would like to thank all those who participated in NEMACOM98 for attending, and for their contributions to this proceedings.

We would also like to thank:

1. the Australian Mathematical Society, and
2. Numerical Algorithms Group plc, Oxford, UK

for their financial support of NEMACOM98. We would also like to thank the Centre for Mathematics and its Applications at the School of Mathematical Sciences, Australian National University for publishing this proceedings.

Roderick V.N. Melnik, Suely Oliveira & David E. Stewart
(Editors)

Contents

Preface	ii
Contents	iii
Speakers and Contributers	iv
On the Implementation of Algebraic Multigrid Methods on Vector and Parallel-Vector Computers Lutz Grosz	1
Approximate Models of Dynamic Thermoviscoelasticity Describing Shape-Memory-Alloy Phase Transitions R.V.N. Melnik and A.J. Roberts	17
Using Graph Theory to Improve Some Algorithms in Scientific Computing Suely Oliveira	33
Variable Selection and Control in Least Squares Problems Michael R. Osborne	43
Modelling Non-isothermal Flows in Porous Media: A Case Study Using an Example of the Great Artesian Basin, Australia Irene Pestov	59
Simulation of Rigid-Body Dynamics with Impact and Friction David E. Stewart	67
Local Error Growth and Predictability of Ensemble Perturbations in Chaotic Dynamical Systems Mozheng Wei	81
The Calculation of Eigenvalues for Nonadiabatic Oscillations in Magnetized Polytropic Atmospheres Warren P. Wood	97
Index	105