Numerical Hamiltonian Problems (Paperback) (ISBN-13: 9780486824109)

This advanced text explores a category of mathematical problems that occur frequently in physics and other sciences. Five preliminary chapters make the book accessible to students without extensive background in this area. Topics include Hamiltonian systems, symplecticness, numerical methods, order conditions, and implementation.
The heart of the book, chapters 6 through 10, explores symplectic integration, symplectic order conditions, available symplectic methods, numerical experiments, and properties of symplectic integrators. The final four chapters contain more advanced material: generating functions, Lie formalism, high-order methods, and extensions. Many numerical examples appear throughout the text.

Author: J. M. Sanz-Serna, M. P. Calvo
ISBN-10: 0486824101
ISBN-13: 9780486824109
Publisher: Dover Publications
Language: English
Published: 06/13/2018
Pages: 224
Format: Paperback
Weight: 0.48lbs
Size: 8.40h x 5.40w x 0.60d