Symplectic Geometric Algorithms for Hamiltonian Systems
"Symplectic Geometric Algorithms for Hamiltonian Systems" will be useful not only for numerical analysts, but also for those in theoretical physics, computational chemistry, celestial mechanics, etc. The book generalizes and develops the generating functi
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Kang Feng Mengzhao Qin
Symplectic Geometric Algorithms for Hamiltonian Systems With 62 Figures
ZHEJIANG PUBLISHING UNITED GROUP ZHEJIANG SCIENCE AND TECHNOLOGY PUBLISHING HOUSE
Authors Kang Feng (1920-1993) Institute of Computational Mathematics and Scientific/ Engineering Computing Beijing 100190, China
Mengzhao Qin Institute of Computational Mathematics and Scientific/ Engineering Computing Beijing 100190, China Email: [email protected]
ISBN 978-7-5341-3595-8 Zhejiang Publishing United Group, Zhejiang Science and Technology Publishing House, Hangzhou ISBN 978-3-642-01776-6 ISBN 978-3-642-01777-3 (eBook) Springer Heidelberg Dordrecht London New York Library of Congress Control Number: 2009930026 ¤ Zhejiang Publishing United Group, Zhejiang Science and Technology Publishing House, Hangzhou and Springer-Verlag Berlin Heidelberg 2010 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, reuse of illustrations, recitation, broadcasting, reproduction on microfilm or in any other way, and storage in data banks. Duplication of this publication or parts thereof is permitted only under the provisions of the German Copyright Law of September 9, 1965, in its current version, and permission for use must always be obtained from Springer. Violations are liable to prosecution under the German Copyright Law. The use of general descriptive names, registered names, trademarks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. Cover design: Frido Steinen-Broo, EStudio Calamar, Spain Printed on acid-free paper Springer is part of Springer Science+Business Media (www.springer.com)
“. . . In the late 1980s Feng Kang proposed and developed so-called symplectic algorithms for solving equations in Hamiltonian form. Combining theoretical analysis and computer experimentation, he showed that such methods, over long times, are much superior to standard methods. At the time of his death, he was at work on extensions of this idea to other structures . . . ”
Peter Lax
Cited from SIAM News November 1993
Kang Feng giving a talk at an international conference
“ A basic idea behind the design of numerical schemes is that they can preserve the properties of the original problems as much as possible . . . Different representations for the same physical law can lead to different computational techniques in solving the same problem, which can produce different numerical results . . .” Kang Feng (1920 – 1993) Cited from a paper entitled “How to compute property Newton’s equation of motion”
Prize certificate
Author’s photograph taken in Xi’an in 1989
Foreword
Kang Feng (1920–1993), Member of the Chinese Academy of Sciences, Professor and Honorary Director of the Computing Center of the Chinese Academy of Sciences, famous applied mathematician, founder and pioneer of computation
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