Numerical Hamiltonian Problems

By J.M. Sanz-Serna and M.P. Calvo

$14.95

Publication Date: 13th June 2018

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: ... Read More
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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: ... Read More
Description
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.

Reprint of the corrected Chapman and Hall/CRC Press, 1994 edition.
Details
  • Price: $14.95
  • Pages: 224
  • Publisher: Dover Publications
  • Imprint: Dover Publications
  • Series: Dover Books on Mathematics
  • Publication Date: 13th June 2018
  • Trim Size: 5.5 x 8.5 in
  • ISBN: 9780486824109
  • Format: Paperback
  • BISACs:
    MATHEMATICS / Applied
Author Bio
J. M. Sanz-Serna is on the faculty of Charles III University of Madrid.
M. P. Calvo teaches at the University of Valladolid.
Table of Contents
Preface
1. Hamiltonian systems
2. Symplecticness
3. Numerical methods
4. Order conditions
5. Implementation
6. Symplectic integration
7. Symplectic order conditions
8. Available symplectic methods
9. Numerical experiments
10. Properties of symplectic integrators
11. Generating functions
12. Lie formalism
13. High-order methods
14. Extensions
References
Symbol index
Index
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.

Reprint of the corrected Chapman and Hall/CRC Press, 1994 edition.
  • Price: $14.95
  • Pages: 224
  • Publisher: Dover Publications
  • Imprint: Dover Publications
  • Series: Dover Books on Mathematics
  • Publication Date: 13th June 2018
  • Trim Size: 5.5 x 8.5 in
  • ISBN: 9780486824109
  • Format: Paperback
  • BISACs:
    MATHEMATICS / Applied
J. M. Sanz-Serna is on the faculty of Charles III University of Madrid.
M. P. Calvo teaches at the University of Valladolid.
Preface
1. Hamiltonian systems
2. Symplecticness
3. Numerical methods
4. Order conditions
5. Implementation
6. Symplectic integration
7. Symplectic order conditions
8. Available symplectic methods
9. Numerical experiments
10. Properties of symplectic integrators
11. Generating functions
12. Lie formalism
13. High-order methods
14. Extensions
References
Symbol index
Index