Numerical Methods for Partial Differential Equations Proceedings of
These Proceedings of the first Chinese Conference on Numerical Methods for Partial Differential Equations covers topics such as difference methods, finite element methods, spectral methods, splitting methods, parallel algorithm etc., their theoretical fou
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1297 Zhu You-Ian Guo Ben-yu (Eds.)
Numerical Methods for Partial Differential Equations Proceedings of a Conference held in Shanghai, P. R. China, March 25-29, 1987
Springer-Verlag Berlin Heidelberg New York London Paris Tokyo
Editors
ZHU You-Ian The Computing Center, Academia Sinica Beijing, 100080, People's Republic of China GUO Ben-yu Shanghai University of Science and Technology Shanghai, People's Republic of China
Mathematics Subject Classification (1980): 65MXX, 65NXX ISBN 3-540-18730-8 Springer-Verlag Berlin Heidelberg New York ISBN 0-387-18730-8 Springer-Verlag New York Berlin Heidelberg
This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, re-use of illustrations, recitation, broadcasting, reproduction on microfilms or in other ways, and storage in data banks. Duplication of this publication or parts thereof is only permitted under the provisions of the German Copyright Law of September 9, 1965, in its version of June 24, 198!;, and a copyright fee must always be paid. Violations fall under the prosecution act of the German Copyright Law.
© Springer-Verlag Berlin Heidelberg 1987 Printed in Germany Printing and binding: Druckhaus Beltz, Hemsbach/Bergstr. 2146/3140-543210
Preface
This volume of Lecture Notes in Mathematics is the Proceedings of the
First Chinese Conference on Numerical Methods
for
Differential Equations, which was held at the Shanghai of Science and Technology, Shanghai,
China
Partial
University
on March 25-29, 1987
and attracted about 100 participants from all parts of China.
It
includes 16 papers selected from 75 papers presented at the Conference.
A complete list of the papers presented at the Conference
is also given in this Proceedings.
These papers are arranged
alphabetical order of the first author's name and every name
in is
typewritten in "the Chinese way", i.e., the family name is typed first, followed by the given name. We are indebted to our many colleagues and friends who helped us in preparing the Conference, during the meeting and in editing the Proceedings, but especially, to Yang Zhong-hua who supervised all
of
the
local arrangements.
We
are also thankful
to
the
Chinese Mathematical Society and the Chinese Society of Computational Mathematics for their support. Finally, we would like to express our thanks to the series editors and the editorial staff of Springer-Verlag for valuable assistance in preraring the Proceedings.
July, 1987
Zhu You-lan and Guo Ben-yu (Editors)
Organizing Committee
Co-chairmen
Guo Ben-yu and Zhu You-Ian
Members of the Committee Li De-yuan Li Li-kang Li Rong-hua Lin
Qun
Pan Zhong-xiong Shi Zhong-ci Wu Hua-mo Ying Lung-an Zhou Tian-xiao
List of Papers Presented at the First Chinese Conference on Numerical Methods for Partial Differential Equations
Cai Ti-qin [ Dept. of Mechanics, Peking University, Beijing, China], Qin Su-di [Dept. of Mechanics, Peking University, Beijing, China], Jia-hua [Inst
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