Hamiltonian BVMs (HBVMs): Implementation details and applications'

AIP Conference Proceedings

Volumn 1168, Issue , 2009, Pages 723-726

  Brugnano, Luigi ^a   Iavernaro, Felice ^b   Susca, Tiziana ^b  

^a Dipartimento di Matematica U Dini   (Italy)

^b UNIVERSITY OF BARI   (Italy)

Author keywords

Conservation of energy; Numerical methods; Polynomial Hamiltonian problems

Indexed keywords

EID: 70450172302     PISSN: 0094243X     EISSN: 15517616     Source Type: Conference Proceeding    
DOI: 10.1063/1.3241568     Document Type: Conference Paper

References (9)

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4. L. Brugnano, D. Trigiante. Energy drift in the numerical integration of Hamiltonian problems. J. Numer Anal. Ind. Appl. Math. 4 (2009), (to appear).
5. E. Faou, E. Hairer, T.-L.Pham. Energy conservation with non-symplectic methods: examples and counter-examples. BIT Numerical Mathematics 44 (2004) 699-709.
6. E. Hairer, C. Lubich, G. Wanner. Geometric Numerical Integration, 2nd ed. Springer, Berlin, 2006.
7. R lavernaro, B. Pace. s-Stage Trapezoidal Methods for the Conservation of Hamiltonian Functions of Polynomial Type. AIP Conf. Proc. 936 (2007) 603-606.
8. R lavernaro, B. Pace. Conservative Block-Boundary Value Methods for the Solution of Polynomial Hamiltonian Systems. AIP Conf. Proc. 1048 (2008) 888-891.
9. R lavernaro, D. Trigiante. High-order symmetric schemes for the energy conservation of polynomial Hamiltonian problems. J. Numer Anal. Ind. Appl Math. 4,1-2 (2009), (to appear).