Numerical Hamiltonian problems
By: J.M. Sanz-Serna and M.P. Calvo.
Contributors: Calvo, M. P.
Edition: 1st ed.
Series: Applied mathematics and mathematical computation ;; 7
Publisher: Chapman & Hall
Published: 1994
Place of publication: London; New York
Language: eng
Number of pages: 207
Subjects: Hamiltonian systems.; Numerical analysis.
Description: The purpose of this book is to present a unified introduction to the interdisciplinary and growing field of symplectic integration of Hamiltonian problems. These problems appear frequently in physics and other sciences and recent investigations suggest that they should be simulated by symplectic integrators, i.e. by numerical methods that preserve the symplectic structure of phase space, thus reproducing the main feature of Hamiltonian dynamics.

The authors explain in detail how to derive, analyse and use symplectic integrators. Virtually all currently available symplectic methods are reported using a coherent notation. Numerical Hamiltonian Problems includes five preliminary chapters on Hamiltonian problems and numerical methods, so that very little background knowledge should be required. Numerical examples are provided throughout.
Notes: Includes bibliographical references (p. [189]-196) and index.