Numerical Hamiltonian Problems

Nonfiction, Science & Nature, Mathematics, Applied
Cover of the book Numerical Hamiltonian Problems by J.M. Sanz-Serna, M.P. Calvo, Dover Publications
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Author: J.M. Sanz-Serna, M.P. Calvo ISBN: 9780486831527
Publisher: Dover Publications Publication: June 13, 2018
Imprint: Dover Publications Language: English
Author: J.M. Sanz-Serna, M.P. Calvo
ISBN: 9780486831527
Publisher: Dover Publications
Publication: June 13, 2018
Imprint: Dover Publications
Language: English

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.

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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.

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