Numerical Mathematics Singapore 1988: Proceedings Of The International Conference On Numerical Mathematics Held At The National University Of Singapore, May 31–june 4, 1988

B ISNM86: International Series or Numerical Mathematics Internationale Schriftenreihe zur Numerischen Mathematik Serie internationale d'Analyse numerique Vol.86 Edited by eh. Blanc, Lausanne; K.-H. HofTmann, Augsburg; H. D. Mittelmann, Tempe; J. Todd, Pasadena Springer Basel AG Numerical Mathematics Singapore 1988 Proceedings of the International Conference on Numerical Mathematics held at the National University of Singapore, May 31- June 4, 1988 Edited by Ravi P. Agarwal Y. M. Chow S. J. Wilson 1988 Springer Basel AG Ravi P. Agarwal National University of Singapore Department of Mathematics Lower Kent Ridge Road Singapore 0511 Republic of Singapore CIP-Titelaufnahme der Deutschen Bibliothek Numerical mathematics: Singapore 1988 ; proceedings of the Internat. Conference on Numer. Mathematics held at the National Univ. of Singapore. May 31- lune 4, 1988/ ed. by Ravi P. Agarwal ... - Basel ; Boston ; Berlin : Birkhäuser, 1988 (International series of numerical mathematics ; Vol. 86) ISBN 978-3-7643-2255-7 ISBN 978-3-0348-6303-2 (eBook) DOI 10.1007/978-3-0348-6303-2 NE: Agarwal, Ravi P. [Hrsg.]; International Conference on Numerical Mathematics ; University ; GT This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically those of translation, reprinting, re-use of illustrations, broadcasting, reproduction by photocopying machine or similar means, and storage in data banks. Under § 54 of the German Copyright Law where copies are made for other than private use a fee is payable to >NerwertungsgesellschaftWort«, Munich. © 1988 Springer Basel AG Originally published by BirkhäuserVeriag Basel in 1988. Softcover reprint of the hardcover 1st edition 1988 v FOREWORD For the five days 31 May - 4 June, 1988, about 160 mathematicians from 30 countries attended the International Conference on Numerica1 Mathematics at the National University of Singapore. The main purpose of the Conference was to provide an up-to-date description of the present status and future prospects for research in and app1ications of Numerica1 Mathematics. This volume contains 42 original papers which are based on the research 1ectures given at the conference. They ref1ect a wide range of the important current research areas: approximation theory; discrete mathematics; ordinary and partial differential equations; integral equations; quadratures; mathematica1 mode11ing; mu1tivariate po1ynomia1 equations, and engineering app1ications. Many peop1e gave generous1y their time to he1p make this conference a success. We wou1d particu1ar1y iike to mention Peng Tsu Ann who made the original proposa1 for a conference on Numerica1 Mathematics, as we11 as fe11ow-committee members R. C. Gupta, Lee Seng Luan, B. T. McInnes, T. R. Nanda, Peter Tung and Wan Fook Sun. Financia1 support for this conference was obtained from the Lee Rong Chian Centre for Mathematica1 Research, the Bukit Turf Club, UNESCO, the Singapore National Academy of Sciences, the Singapore Mathematica1 Society, She11 Eastern Petroleum Ltd. and Wor1d Scientific Publishing Co. Pte. Ltd. This support is gratefu11y acknow1edged. We wou1d also 1ike to thank the Third Wor1d Academy of Sciences for providing the trave1 support for Stephen Sma1e. Fina11y our appreciation and thanks to Miss Rubiah Tukimin and Madam Tay Lee Lang for their exce11ent and carefu1 typing of the comp1ete manuscript. The Editors Singapore, August 1988 VII LIST OF PARTICIPANTS AND CONTRIBUTORS A ABDUL MAJID. Universiti Sains Malaysia. Penang. Malaysia AK ABDULMOHSEN. Public Authority of Applied Education & Training. Kuwait R P AGARWAL. National University of Singapore. Republic of Singapore A L ANDREW.La