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JACIII Vol.8 No.5 pp. 495-498
doi: 10.20965/jaciii.2004.p0495
(2004)

Paper:

Energy-Conservative Algorithm for the Numerical Solution of Initial-Value Hamiltonian System Problems

Edit Miletics

Department of Mathematics, Széchenyi István University Györ, Hungary

Received:
August 31, 2003
Accepted:
April 20, 2004
Published:
September 20, 2004
Keywords:
approximation, energy conservation, numerical analysis
Abstract

The numerical treatment of ODE initial-value problems has been intensively researched. Energy-conservative algorithms are very important to dynamic systems. For the Hamiltonian system the symplectic algorithms are very effective. Powerful computers and algebraic software enable the creation of efficient numerical algorithms for solving ODE initial-value problems. In this paper, we propose an adaptive energy-conservative numerical-analytical algorithm for Hamiltonian systems. This algorithm is adaptable to initial-value problems where some quantities are preserved. The algorithm and its efficiency are presented for solving two-body and linear oscillator problems.

Cite this article as:
Edit Miletics, “Energy-Conservative Algorithm for the Numerical Solution of Initial-Value Hamiltonian System Problems,” J. Adv. Comput. Intell. Intell. Inform., Vol.8, No.5, pp. 495-498, 2004.
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