Overview
- The symplectic geometric algorithm of K. Feng is unique
- Classical, fundamental, an important reference in structure-preserving algorithm of computational mathematics
- A must for the computational mathematician to understand the background, motivation, and the significance of the symplectic geometric algorithm
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Table of contents (17 chapters)
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Front Matter
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Back Matter
Keywords
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)
Authors and Affiliations
Bibliographic Information
Book Title: Symplectic Geometric Algorithms for Hamiltonian Systems
Authors: Kang Feng, Mengzhao Qin
DOI: https://doi.org/10.1007/978-3-642-01777-3
Publisher: Springer Berlin, Heidelberg
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag Berlin Heidelberg 2010
eBook ISBN: 978-3-642-01777-3Published: 18 October 2010
Edition Number: 1
Number of Pages: XXIII, 676
Additional Information: Jointly published with Zhejiang Publishing United Group Zhejiang Science and Technology Publishing House.
Topics: Differential Geometry, Algebraic Topology, Computational Mathematics and Numerical Analysis, Geometry, Quantum Physics, Engineering Fluid Dynamics