The possibility of constructing a conservative numerical method for the solution of the cauchy problem for Hamiltonian systems based on two-stage symmetric symplectic Runge

The possibility of constructing a conservative numerical method for the solution of the cauchy problem for Hamiltonian systems based on two-stage symmetric symplectic Runge–Kutta methods

Published:2015-05 Issue:3 Volume:7 Page:233-245
ISSN:2070-0482
Container-title:Mathematical Models and Computer Simulations
language:en
Short-container-title:Math Models Comput Simul

Author:

Aleksandrov P. A.,Elenin G. G.

Publisher

Pleiades Publishing Ltd

Subject

Computational Mathematics,Modeling and Simulation

Link

http://link.springer.com/content/pdf/10.1134/S2070048215030023.pdf

Reference21 articles.

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3. E. Hairer, C. Lubich, and G. Wanner, Geometric Numerical Integration, 2nd rev. ed. (Springer, Berlin, 2006).

4. E. Hairer, S. P. Norsett, and G. Wanner, Solving Ordinary Differential Equations I. Nonstiff Problems, 2nd rev. ed. (Springer, 1993).

5. L. D. Landau and E. M. Lifshitz, Course of Theoretical Physics, Vol. 1: Mechanics (Nauka, Moscow, 1982; Pergamon Press, New York, 1988).

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