Conservative block-boundary value methods for the solution of polynomial hamiltonian systems

AIP Conference Proceedings

Volumn 1048, Issue , 2008, Pages 888-891

  Iavernaro, Felice ^a   Pace, Brigida ^a  

^a UNIVERSITY OF BARI   (Italy)

Author keywords

Block Boundary Value Methods; Hamiltonian systems; Quadrature formulae

Indexed keywords

EID: 54049136926     PISSN: 0094243X     EISSN: 15517616     Source Type: Conference Proceeding    
DOI: 10.1063/1.2991075     Document Type: Conference Paper

References (7)

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3. E. Faou, E. Hairer and T.-L. Pham, Energy conservation with non-symplectic methods: examples and counter-examples, BIT Numerical Mathematics, 44, pp. 699-709 (2004).
4. E. Hairer, C. Lubich, and G. Wanner, Geometric numerical integration. Structure-preserving algorithms for ordinary differential equations., Springer Series in Computational Mathematics, 31, Springer-Verlag, Berlin, 2002.
5. F. Iavernaro and B. Pace, s-stage trapezoidal methods for the conservation of Hamiltonian functions of polynomial type, in: American Institute of Phisycs, T. Simos et al. eds., pp. 603-606 (2007).
6. F. Iavernaro and D. Trigiante, Discrete conservative vector fields induced by the trapezoidal method, JNAIAM J. Numer. Anal. Ind. Appl. Math. 1, no. 1, pp. 113-130 (2006).
7. F. Iavernaro and D. Trigiante, On some conservation properties of the trapezoidal method applied to Hamiltonian systems, ICNAAM, edited by T. E. Simos, President of ESCMSE, University of Peloponnese, et al, 2005, pp. 254-257.