Overview
""Symplectic Geometry 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.
Full Product Details
Author: K. Feng ,
Mengzhao Qin
Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Dimensions:
Width: 15.60cm
, Height: 3.80cm
, Length: 23.40cm
Weight: 1.155kg
ISBN: 9783642017766
ISBN 10: 3642017762
Pages: 704
Publication Date: December 2009
Audience:
Professional and scholarly
,
Professional & Vocational
Format: Hardback
Publisher's Status: Active
Availability: In Print
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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)"" 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) ""
From the reviews: </p> 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)</p>
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)
