Neuware - 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 6-10 explore symplectic integration, symplectic order conditions, available symplectic methods, numerical experiments, and properties of symplectic integrators. The final chapters contain more advanced material.

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Bibliographic Details

Title: Numerical Hamiltonian Problems
Publisher: Dover Publications Inc. Jul 2018
Publication Date: 2018
Language: English
ISBN 10: 0486824101
ISBN 13: 9780486824109
Binding: Taschenbuch
Condition: Neu
Dimensions: 214 millimeters width by 134 millimeters height by 13 millimeters depth
Weight: 278 grams

About this title

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.

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.

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