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Symplectic Geometric Algorithms for Hamiltonian Systems

Authors: Feng, Kang, Qin, Mengzhao

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  • The symplectic geometric algorithm of K. Feng is unique
  • Classical, fundamental, and important reference in structure-preserving algorithm of computational mathematics
  • A must-have for the computational mathematician wanting to understand the background, motivation, and the significance of the symplectic geometric algorithm
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eBook $209.00
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  • ISBN 978-3-642-01777-3
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About this book

"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 function and Hamilton-Jacobi equation theory from the perspective of the symplectic geometry and symplectic algebra. It will be a useful resource for engineers and scientists in the fields of quantum theory, astrophysics, atomic and molecular dynamics, climate prediction, oil exploration, etc. Therefore a systematic research and development of numerical methodology for Hamiltonian systems is well motivated. Were it successful, it would imply wide-ranging applications.

Reviews

From the reviews:

“This book is about the construction of numerical algorithms that preserve geometric properties and physical principles associated with ordinary differential systems. … the book provides a comprehensive overview of geometric numerical integration of Hamiltonian systems, also offering some of the outstanding results achieved by the authors, making this monograph a valuable contribution to the bibliography in this field that will be of interest to a wide range of researchers in a variety of areas.” (A. San Miguel, Mathematical Reviews, Issue 2012 h)


Table of contents (17 chapters)

Table of contents (17 chapters)

Buy this book

eBook $209.00
price for USA in USD
  • ISBN 978-3-642-01777-3
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
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Bibliographic Information

Bibliographic Information
Book Title
Symplectic Geometric Algorithms for Hamiltonian Systems
Authors
Copyright
2010
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
Distribution Rights
Distribution rights in China: Zhejiang Science and Technology Publishing House.
eBook ISBN
978-3-642-01777-3
DOI
10.1007/978-3-642-01777-3
Edition Number
1
Number of Pages
XXIII, 676
Additional Information
Jointly published with Zhejiang Publishing United Group Zhejiang Science and Technology Publishing House.
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