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

E. Miletics | Zendy

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

Author(s) -

E. Miletics

Publication year - 2004

Publication title -

journal of advanced computational intelligence and intelligent informatics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.172

H-Index - 20

eISSN - 1343-0130

pISSN - 1883-8014

DOI - 10.20965/jaciii.2004.p0495

Subject(s) - ode , computer science , algorithm , hamiltonian system , initial value problem , numerical analysis , symplectic geometry , hamiltonian (control theory) , mathematical optimization , mathematics , geometry , mathematical analysis

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.

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