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

Edit Miletics

doi:10.20965/jaciii.2004.p0495

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JACIII Vol.8 No.5 pp. 495-498

doi: 10.20965/jaciii.2004.p0495

(2004)

Paper:

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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:

E. 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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