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Synopsis
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.
"synopsis" may belong to another edition of this title.
About the Author
J. M. Sanz-Serna is on the faculty of Charles III University of Madrid.
M. P. Calvo teaches at the University of Valladolid.
"About this title" may belong to another edition of this title.
- PublisherDover Publications
- Publication date2018
- ISBN 10 0486824101
- ISBN 13 9780486824109
- BindingPaperback
- LanguageEnglish
- Number of pages224
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Paperback. Condition: new. Paperback. This advanced text explores a category of mathematical problems that occur frequently in physics and other sciences. Five preliminary chapters on Hamiltonian problems and numerical methods make the book accessible to students without extensive background in this area. Chapters 610 explore symplectic integration, symplectic order conditions, available symplectic methods, numerical experiments, and properties of symplectic integrators. The final chapters contain more advanced material. AUTHORS: J. M. Sanz-Serna is on the faculty of Charles III University of Madrid. M. P. Calvo teaches at the University of Valladolid. Advanced text explores mathematical problems that occur frequently in physics and other sciences. Topics include symplectic integration, symplectic order conditions, available symplectic methods, numerical experiments, properties of symplectic integrators. 1994 edition. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9780486824109
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