Frontiers And Prospects Of Contemporary Applied Mathematics (series In Contemporary Applied Mathematics Cam)

Series in Contemporary Applied Mathematics CAM 6 liiiiiiiiiiimiiMlIlIH Tatsien Li • P ingwen Zhang frontiers and Prospects of Contemporary Applied Mathematics Series in Contemporary Applied mathematics CAM Honorary Editor: Chao-Hao Gu (Fudan University) Editors: P. G. Ciarlet (City University of Hong Kong), Tatsien Li (Fudan University) 1. Mathematical Finance Theory and Practice (Eds. Yong Jiongmin, Rama Cont) 2. New Advances in Computational Fluid Dynamics Theory, Methods and Applications (Eds. F. Dubois, Wu Huamo) 3. Actuarial Science Theory and Practice (Eds. Hanji Shang, Alain Tosseti) 4. Mathematical Problems in Environmental Science and Engineering (Eds. Alexandre Ern, Liu Weiping) 5. Ginzburg-Landau Vortices (Eds. Haim Brezis, Tatsien Li) 6. Frontiers and Prospects of Contemporary Applied Mathematics (Eds. Tatsien Li, Pingwen Zhang) Series in Contemporary Applied Mathematics CAM 6 Frontiers and Prospects of editors Tatsien Li Fudan University, China Pingwen Zhang Peking University, China Higher Education Press \[p World Scientific NEW JERSEY • LONDON • SINGAPORE • BEIJING • SHANCHAI • H O N G K O N G • TAIPEI • CHENNAi Tatsien Li Pingwen Zhang Department of Mathematics School of Mathematical Sciences Fudan University Peking University Shanghai, 200433 Beijing, 100871 China China ^ t t M t f c ^ Wftff&^MW. ^Frontiers and Prospects of Contemporary Applied Mathematics / ^^kM (Li, Tatsien), ft^fX (Zhang, Pingwen) if. —JfcJiC: mmm^&mt, 2005.12 ISBN 7-04-018575-X i.Mf... n.©$. ..©&... —XM^X IV.29-53 ^ l a w s ^ i t CIP mm?f m.mffi&-ffi% (2005) m 13795s ^ Copyright © 2005 by Higher Education Press 4 Dewai Dajie, Beijing 100011, P. R. China, and World Scientific Publishing Co Pte Ltd 5 Toh Tuch Link, Singapore 596224 All rights reserved. No part of this book may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopying, recording or by any information storage and retrieval system, without permission in writing from the Publisher. ISBN 7-04-018575-X Printed in P. R. China Contents Preface Invited Talks Jin Cheng, Mourad Choulli, Xin Yang: An Iterative BEM for the Inverse Problem of Detecting Corrosion in a Pipe 1 Weinan E, Pinghing Ming: Analysis of the Local Quasicontinuum Method Houde Han: The Artificial Boundary Method 18 Numerical Solutions of Partial Differential Equations on Unbounded Domains 33 Kerstin Hesse, Ian H. Sloan: Optimal order integration on the sphere 59 Jialin Hong: A Survey of Multi-symplectic Runge-Kutta Type Methods for Hamiltonian Partial Differential Equations 71 Ming Jiang, Yi Li, Ge Wang: Inverse Problems in Bioluminescence Tomography 114 Fangting Li, Ying Lu, Chao Tang, Qi Ouyang: Global Dynamic Properties of Protein Networks 149 Wei Li, Yunqing Huang: A Modified Adaptive Algebraic Multigrid Algorithm for Elliptic Obstacle Problems 160 Zeyao Mo: Parallel Algorithms and Implementation Techniques for Terascale Numerical Simulations of Typical Applications Yaguang Wang: Long Time Behaviour of Solutions to Linear 179 Thermoelastic Systems with Second Sound 191 Contributed Talks Hongxuan Huang, Changjun Wang: Distance Geometry Problem and Algorithm Based on Barycentric Coordinates 208 Jijun Liu: On IU-Posedness and Inversion Scheme for 2-D Backward Heat Conduction 227 Yirang Yuan, Ning Du, Yuji Han: Careful Numerical Simulation a