Numerical Methods Proceedings of the International Workshop Held at
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Numerical Methods Proceedings of the International Workshop Held at Caracas, June 14 -18,1982
Edited by V. Pereyra and A. Reinoza
Springer-Verlag
Editors
Victor Pereyra Escuela de Computaci6n, Facultad de Ciencias Universidad Central de Venezuela, Apartado N£ 47002 Caracas, Venezuela Alfonso Reinoza Departamento de Matematicas y Ciencia de la Computaci6n Universidad Sim6n Bolivar, Apartado N£ 80659 Caracas, Venezuela
AMS-Subject Classifications (1980): 65-06, 65 F 99, 65 H 99, 65 K 05, 65L99, 65M99, 65N99, 65R99 ISBN 3-540-12334-2 Springer-Verlag Berlin Heidelberg New York Tokyo ISBN 0-387-12334-2 Springer-Verlag New York Heidelberg Berlin Tokyo 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 "Verwertungsgesellschaft Wort", Munich.
© by Springer-Verlag Berlin Heidelberg 1983 Printed in Germany
FOREWORD
The Workshop on Numerical Methods was held at Hotel Avila, Caracas, Venezuela, June 14-18, 1982. It was quite a successful sequel to two smaller meetings held in Caracas in 1974 and 1980, and to three meetings held in the past years in Mexico ($ee these Lecture Notes Vol. 909 for the Proceedings of the 1981 Meeting in Cocoyoc, Mexico). The present workshop was attended by 25 foreign and about 50 local scientists. We had a good group from the US, and representatives from Brasil, Canada, England, Mexico, and Sweden. The scientific program consisted of thirteen forty-five and sixteen twenty-five minutes invited talks, and some contributed posters. There was an ample spectrum of papers, with the central theme of scientific computation in ordinary and partial differential equations, optimization, and engineering applications. We would like to thank most specially to our institutions, Universidad Central de Venezuela (UCV) and Universidad Simon Bolivar (USB) for their support in this endeavor, and to the sponsors that made it financially possible: Conicit, IDEA (Venezuela), NSF (USA).the Embassies of France and Sweden and the British Council. Last but not least, we thank the tireless efforts of our colleagues in the Organizing Commitee: Marianela Lentini (Coordinator, USB, Venezuela), Gene H. Golub (Coordinator, Stanford University, USA), Javier Maguregui (USB), Consuelo Maulino (UCV), and Godela Scherer (USB). Caracas, November 1982.
V. Pereyra and A. Reinoza
CONTENTS E.B. BAREISS, Least squares solution of weighted linear systems by G-Transformations C.A.
new development in computational engineering
B. CHEN CHARPENTIER, A method for solving nonlinear with moving'boundaries
16 equations 37
Q.V. DINB, B. MANTEL, J. PERIAUX, and R. GLOWINSKI • Approximate solutions of the Navier-Stokes equations for incompressible viscous fluids. Related domain decomposition meth
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