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The 18th Dundee Biennial Conference on Numerical Analysis was held at the University of Dundee during the four days 29th June - 2nd July, 1999. It was preceded on the 28th June by the Leslie Fox Prize Meeting, when the six finalists gave their presentations. As usual the standard of talks was impressively high, and the prize was shared by Niles Pierce from the Californian Institute of Technology and Reha Tütüncü from Carnegie Mellon University.

The conference itself was attended by around 200 participants from 32 countries, with just under half the participants coming from outside the UK. The opening talk was the fifth A. R. Mitchell lecture, delivered by Franco Brezzi, of the University of Pavia. The tradition was continued of having a speaker who has made many important contributions to numerical analysis, but also has a long association with Dundee, and with Ron Mitchell. Twelve other invited speakers presented talks and, in addition, there were 128 submitted talks presented in four parallel sessions. This volume contains full versions of all of the invited papers; the titles of all contributed talks given at the meeting, together with the names and addresses of the presenters (correct at the time of the meeting), are also listed here.

We would like to take this opportunity of thanking all the speakers, including the after-dinner speaker David Sloan, from the University of Strathclyde, all those who chaired sessions, and all participants for their contributions. The conference is also indebted to the University of Dundee for making available various university facilities throughout the week, and for the provision of a reception for the participants. Thanks are also due to staff at CRC Press, to Sunil Nair and Dawn Sullivan for their guidance through the pre-publication process and to Maria Jennings for her careful proof-reading of the manuscript.

Finally, we are pleased to announce that the 19th Biennial Conference will be held from 25th-29th June 2001. Information will be posted on the conference web page, which may be accessed at


These pages also give details of earlier conferences in the series.

D F Griffiths

G A Watson October 1999