Numerical Mathematics Singapore 1988: Proceedings of the International Conference on Numerical Mathematics held at the National University of Singapore, May 31–June 4, 1988 PDF
Preview 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 <1988, Singapore>; University <Singapore>; 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 1s t 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 Trobe University. Victoria. Australia T ARAYATRAGULLIKIT. Khon Kaen University. Khon Kaen. Thailand U M ASCHER. The University of British Columbia. Vancouver. Australia K AUYONG. Ministry of Defence. Republic of Singapore P W AWYONG. Anglo Chinese Junior College. Republic of Singapore I BABUSKA. University of Maryland. Maryland. USA C T H BAKER. University of Manchester. Manchester. United Kingdom L N BATANES. CSSAC. PILI. CAM. SUR. Philippines S K BHATTACHARYYAI. Indian Institute of Science. Bangalore. India T BIER. National University of Singapore. Republic of Singapore C BREZINSKI. Universite de LilIe Flandres-Artois. Cedex. France U BULGARELLI. Instituto Naz per Studi Ed Espe di Architettura Navale. Italy R BULIRSCH. Technical University. München. Munchen. W Germany J C BUTCHER. University of Auckland. Auckland. New Zealand E CHACKO. University of Canterbury. Christchurch. New Zealand B B CHAN. Victoria Junior College. Republic of Singapore G H CHAN. National University of Singapore. Republic of Singapore K M CHAN. National University of Singapore. Republic of Singapore L K CHAN. University of Manitoba. Winnipeg. Canada Y M CHAN. National University of Singapore. Republic of Singapore B C CHANG. National University of Singapore. Republic of Singapore K W CHANG. University of Calgary. Alberta. Canada S T CHANG. Institute of Education. Republic of Singapore P CHANGKONG. University of Chiang Mai. Chiang Mai. Thailand T CHANKONG. University of Chiang Mai. Chiang Mai. Thailand M M CHAWLA. Indian Institute of Technology. New Delhi. India C C CHEN. National University of Singapore. Republic of Singapore S S CHENG. National Tsing Hua University. Taiwan. China J 0 CHEW. Yishun Junior College. Republic of Singapore T S CHEW. National University of Singapore. Republic of Singapore K P CHOI. National University of Singapore. Republic of Singapore Y M CHOW. National University of Singapore. Republic of Singapore T L S CHOY. National University of Singapore. Republic of Singapore P M CHUA, Nanyang Junior College, Republic of Singapore L COLLATZ. University of Hamburg, Hamburg, W Germany C ELLIOT. University of Sussex, Brighton. United Kingdom D ELLIOT. University of Tasmania. Tasmania. Australia A ESPERANZA. MSU-Iligan Institute of Technology. Iligan City, Philippines M H FARAHI. Ferdowsi University of Mashhad. Mashhad, Iran F F GAN. National University of Singapore. Republic of Singapore M GANESH. Indian Institute of Technology. Bombay, India L GATTESCHI. University of Torini. Torini. Italy C J GOH. National University of Singapore. Republic of Singapore T N T GOODMAN, University of Dundee. Scotland. United Kingdom L GORI. Univ Deg Studi Di Roma, Roma. Italy D GREENSPAN. University of Texas, Texas. USA R D GRIGORIEFF, Technical University of Berlin, Berlin, E Germany R C GUPTA. National University of Singapore. Republic of Singapore M GUTOWSKI. University of Western Australia. Padbury. W Australia P CHANSEN. Copenhagen University Observatory. Copenhagen. Denmark VIII T HASEGAWA, Fukui University, Fukui, Japan H C HO, St Andrew's Junior College, Republic of Singapore J B HO, Institute of Education, Republic of Singapore A HUANG, Xi'an Jiatong University, Xi' an, China A ISERLES, University of Cambridge, Cambridge, United Kingdom M A JABBAR, Nanyang Technological Institute, Republic of Singapore J P JESUDASON, National University of Singapore, Republic of Singapore E JIANG, Fudan University; Shanghai, China C H KAN, National University of Singapore, Republic of Singapore A KANDASAMY, Indian Institute of Technology, Bombay, India H KAWARADA, University of Chiba, Chiba, Japan A KERAYECHIAN, Ferdowsi University of Mashhad, Mashhad, Iran A Q M KHALIQ, University of Bahrain, Manama, Bahrain W C KOK, National University of Singapore, Republic of Singapore R KRESS, Geor-August Universitat, Gottingen, W Germany A LAFORGIA, Univ'di Plalermo, Palermo, Italy M E LAGARE, Mindanao State University, Iligan City, Philippines J P LAMBERT, University of Alaska, Alaska, USA S C LEE, Outram Institute, Republic of Singapore S H LEE, National University of Singapore, Republic of Singapore S L LEE, Serangoon Junior College, Republic of Singapore SLIP LEE, National University of Singapore, Republic of Singapore S LUAN LEE, National University of Singapore, Republic ofSingapore Y K LEONG, National University of Singapore, Republic of Singapore B C LEUAR, National Junior College, Republic of Singapore P F F LEUNG, National University of Singapore, Republic of Singapore L LI, Fudan University, Shanghai, China C L LIM, Institute of Education, Republic of Singapore H L LIM, Jurong Junior College, Republic of Singapore K S LIM, National University of Singapore, Republic of Singapore C K LOOI, Tampines Junior College, Republic of Singapore J H LOU, National University of Singapore, Republic of Singapore S C LOW, Nanyang Technological Institute, Republic of Singapore A M LUKAS, Murdoch University, Murdoch, W Australia A L MACDONALD, Institute of Education, Republic of Singapore R P MANOHAR, University of Saskatchewwan, Saskatoon, Canada R M M MATTHEIJ, Faculteit Wiskunde en Informatica, The Netherlands B T MCINNES, National University of Singapore, Republic of Singapore G H MEYER, Georgia Institute of Technology, Georgia, USA J H MILLER, Trinity College, Dublin, Ireland V G MI LOVANOVIC, University of Nis, Nis, Yugoslavia M MOOKDA, Thammasat University, Bangkok, Thailand M MORI, University of Tsukuba, Ibaraki-ken, Japan A R MT PIAH, Universiti Sains;Malaysia, Penang, Malaysia A R MUCKBIL, Sana'a University, Yemen Arab Republic K NAKASHIMA, Waseda University, Tokyo, Japan T R NANDA, National University of Singapore, Republic of Singapore H K NG, Temasek Junior College, Republic of Singapore K H NG, Nanyang Junior College, Republic of Singapore P N NG, National University of Singapore, Republic of Singapore T B NG, National University of Singapore, Republic of Singapore T W NG, National University of Singapore, Republic of Singapore D W NIETHAMMER, University Karlsrühe, W Germany H OKAMOTO, University of Tokyo, Tokyo, Japan IX A F OLIVEIRA, University of Coimbra, Coimbra, Portugal P D OLIVEIRA, University of Coimbra, Coimbra, Portugal C PETHONG, Chiang Mai University, Chiang Mai, Thailand G M PHILLIPS, University of St Andrews, Scotland, United Kingdom K S R POH, National University of Singapore, Republic of Singapore L B RALL, University of Wisconsin, Madison, USA P REANKITTIWAT, Tharnrnasat University, Pathurnthani, Thailand I ROBINSON, La Trobe University, Victoria, Australia R D RUSSELL, Simon Fraser University, Burnaby, Canada M SAKAKIHARA, Okayama University of Science, Okayama, Japan B SANUGI, Universiti Teknologi Malaysia, Kuala Lurnpur, Malaysia S T E SEAH, University of Manitoba, Winnipeg, Canada S M SEET, Anderson Junior College, Republic of Singapore M H B M SHARIFF, University of Brunei Darussalam, Negara Brunei Darussalam Z C SHI, Academia Sinica, Beijing, China P N SHIVAKUMAR, University of Manitoba, Winnipeg, Canada M K SIM, Ministry of Defence, Republic of Singapore I H SLOAN, University of New South Wales, New South Wales, Australia S SMALE, University of California, California, USA H J STETTER, Tech U Wiens, Wiens, Austria M SULEIMAN, Universiti Pertanian Malaysia, Selangor, Malaysia D A SWAYNE, University of Guelph, Ontario, Canada Y TABESH, Sharif University of Technology, Tehran, Iran CER TAN, La Trobe University, Victoria, Australia C P TAN, Universiti Malaya, Kuala Lurnpur, Malaysia K K TAN, Dalhousie University, Nova Scotia, Canada C H TANG, Hong Kong Polytechnic, Kowloon, Hong Kong W S TANG, National University of Singapore, Republic of Singapore S TANGMANEE, Kasetsart University, Bangkok, Thailand T TATSUO, Nagoya University, Nagoya, Japan T S TAY, National University of Singapore, Republic of Singapore K L TEO, University of Western Australia, Nedlands, W Australia o Y TEO, Townsville Institute, Republic of Singapore S T THAM, Raffles Junior College, Republic of Singapore V THOMEE, Chalmers University of Technology & University of Goteborg, Sweden C T P TUNG, National University of Singapore, Republic of Singapore E H TWIZELL, Brunel University, Uxbridge, United Kingdom R VAILLANCOURT, University of Ottawa, Ontario, Canada R VAN KEER, State University of Ghent, Gent, Belgiurn G VANDEN BERGHE, Rijksuniversiteit-Gent, Gent, Belgiurn P J VANDER HOUWEN, Wiskunde en Informatica, Arnsterdarn, Netherland R WAIT, University of Liverpool, Liverpool, United Kingdom F S WAN, National University of Singapore, Republic of Singapore F M WANG, Academia Sinica, Beijing, China S WANG, East China Normal University, Shanghai, China S J WILSON, National University of Singapore, Republic of Singapore P WONG, National Junior College, Republic of Singapore S W WONG, University of Manchester, Manchester, United Kingdom A YAMABHAI, Tharnrnasat University, Pathurnthani, Thailand T YAMAMOTO, Ehime University, Matsuyama, Japan K Y YAP, National University of Singapore, Republic of Singapore C F YEO, Catholic Junior College, Republic of Singapore C K YUEN, National University of Singapore, Republic of Singapore A ZARETTI, Politecnico di Milano, Milano, Italy XI CONTENTS ALAN L. ANDREW Efficient Computation of Higher Sturm-Liouville Eigenvalues w. AUZINGER and H. J. STETTER An Elimination Algorithm for the Computation of All Zeros' of a System of Multivariate Polynomial Equations 11 I. BABUSKA Advances in the p and h-p Vers ions of the Finite Element Method. A Survey 31 CHRISTOPHER T. H. BARER and NEVILLE J. FORD Convergence of Linear Multistep Methods for a Class of Delay-Integro-Differential Equations 47 CLAUDE BREZINSKI Quasi-Linear Extrapolation Processes 61 U. BULGARELLI and A. ZARETTI A Semi-Implicit Numerical Method for a Fluid-Dynamics Problem in the Presence of Long-Range Forces 79 H. H. CHAWLA and R. SUBRAMANIAN A Fourth Order Spline Method for Singular Two-Point Boundary Value Problems 87 XIAOJUN CHEN and TETSURO YAMAMOTO A Necessary and Sufficient Condition for the Convergence of Certain Iterative Methods for Nonlinear Equations 95 SUI-SUN CHENG Regular Domains of Tridiagonal Matrices 105 L. COLLATZ Inclusion of Solutions of Some Singular Boundary Value Problems in Two and Three Dimensions 115 NASSER DOUAL. JAHRS L. HOWLAND and REHI VAILLANCOURT Global Iterative Solutions of Elementary Transcendental Equations 127 LUIGI GATTES CHI Uniform Approximations for the Zeros of Laguerre Polynomials 137 T. N. T. GOODMAN Shape Preserving Interpolation by Parametrie Rational Cubic Splines 149
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