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by Mengzhao Qin,Kang Feng
Download Symplectic Geometric Algorithms for Hamiltonian Systems fb2
Mathematics
  • Author:
    Mengzhao Qin,Kang Feng
  • ISBN:
    3642017762
  • ISBN13:
    978-3642017766
  • Genre:
  • Publisher:
    Springer; 2010 edition (December 9, 2010)
  • Pages:
    676 pages
  • Subcategory:
    Mathematics
  • Language:
  • FB2 format
    1245 kb
  • ePUB format
    1442 kb
  • DJVU format
    1442 kb
  • Rating:
    4.9
  • Votes:
    680
  • Formats:
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Symplectic Geometric Algorithms for Hamiltonian Systems" will be useful not only for numerical analysts, but also for those in theoretical physics, computational chemistry, celestial mechanics, etc.

It will be a useful resource for engineers and scientists in the fields of quantum theory, astrophysics, atomic and molecular dynamics, climate prediction, oil exploration, etc.

Start by marking Symplectic Geometric Algorithms for Hamiltonian Systems as Want to Read .

Start by marking Symplectic Geometric Algorithms for Hamiltonian Systems as Want to Read: Want to Read savin. ant to Read. Were it successful, it would imply wide-ranging applications.

Symplectic geometric algorithms for Hamiltonian systems. K Feng, M Qin. Springer, 2010. Symplectic difference schemes for linear Hamiltonian canonical systems. F Kang, W Hua-mo, Q Meng-Zhao. Journal of Computational Mathematics, 371-380, 1990. The symplectic methods for the computation of Hamiltonian equations. Numerical methods for partial differential equations, 1-37, 1987. Explicit symplectic difference schemes for separable Hamiltonian systems. Q Meng-Zhao, W Dao-Liu, Z Mei-Qing. Journal of Computational Mathematics, 211-221, 1991.

Book · December 2010 with 15 Reads. How we measure 'reads'. Cite this publication. Nanjing Normal University. Hamiltonian Mechanics and Symplectic Geometry. Symplectic Difference Schemes for Hamiltonian Systems. Kang Feng, Mengzhao Qin. 2010. Preliminaries of Differential Manifolds. Symplectic Algebra and Geometry Preliminaries.

Kang Feng and Mengzhao Qi. Contact Algorithms for Contact Dynamic Systems. Poisson Bracket and Lie-Poisson Schemes

Kang Feng and Mengzhao Qin. Publisher: Springer. Poisson Bracket and Lie-Poisson Schemes. KAM Theorem of Symplectic Algorithms. Lee-Variational Integrator. Structure Preserving Schemes for Birkhoff Systems. Multisymplectic and Variational Integrators.

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"Symplectic Geometric Algorithms for Hamiltonian Systems" will be useful not only for numerical analysts, but also for those in theoretical physics, computational chemistry, celestial mechanics, etc. The book generalizes and develops the generating function and Hamilton-Jacobi equation theory from the perspective of the symplectic geometry and symplectic algebra. It will be a useful resource for engineers and scientists in the fields of quantum theory, astrophysics, atomic and molecular dynamics, climate prediction, oil exploration, etc. Therefore a systematic research and development of numerical methodology for Hamiltonian systems is well motivated. Were it successful, it would imply wide-ranging applications.