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Journal of Numerical Analysis, Industrial and Applied Mathematics
Volumn 1, Issue 1, 2006, Pages 113-130
Discrete conservative vector fields induced by the trapezoidal method
Author keywords

Conservative vector fields; Hamiltonian systems; Symmetric methods; Symplecticity
Indexed keywords

EID: 35348858669     PISSN: 17908140     EISSN: 17908159     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (31)
References (11)
  • 1
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    • P. Amodio, F. Iavernaro and D. Trigiante, Symmetric schemes and Hamiltonian perturbations of Hamiltonian systems, Numer. Linear Algebra Appl., 12 (2005) (2-3), 171-179.
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    • Amodio, P.1    Iavernaro, F.2    Trigiante, D.3
  • 3
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    • Linear multistep methods for integrating reversible differential equations
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    • (1999) Astron. J. , vol.118 , pp. 1888-1899
    • Evans, N.W.1    Tremaine, S.2
  • 4
    • 18244388472 scopus 로고    scopus 로고
    • Energy conservation with non-symplectic methods: Examples and counter-examples
    • E. Faou, E. Hairer, T.-L. Pham, Energy conservation with non-symplectic methods: examples and counter-examples, BIT Numerical Mathematics, 44 (2004), 699-709.
    • (2004) BIT Numerical Mathematics , vol.44 , pp. 699-709
    • Faou, E.1    Hairer, E.2    Pham, T.-L.3
  • 5
    • 3142580393 scopus 로고    scopus 로고
    • Symmetric multistep methods over long times, Numer
    • E. Hairer and C. Lubich, Symmetric multistep methods over long times, Numer. Math., 97 (2004), 699-723.
    • (2004) Math. , vol.97 , pp. 699-723
    • Hairer, E.1    Lubich, C.2
  • 6
    • 0013460577 scopus 로고    scopus 로고
    • Geometric numerical integration. Structure-preserving algorithms for ordinary differential equations
    • Springer-Verlag, Berlin
    • 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.
    • (2002) Springer Series in Computational Mathematics , vol.31
    • Hairer, E.1    Lubich, C.2    Wanner, G.3
  • 7
    • 84946956680 scopus 로고    scopus 로고
    • On some conservation properties of the trapezoidal method applied to Hamiltonian systems
    • in press
    • F. Iavernaro and D. Trigiante, On some conservation properties of the trapezoidal method applied to Hamiltonian systems, J. Comput. Appl. Math., (in press).
    • J. Comput. Appl. Math
    • Iavernaro, F.1    Trigiante, D.2
  • 9
    • 0000613873 scopus 로고
    • Symmetric multistep methods for the numerical integration of planetary orbits
    • G. D. Quinlan and S. Tremaine, Symmetric multistep methods for the numerical integration of planetary orbits, Astron. J., 100 (1990), 1694-1700.
    • (1990) Astron. J. , vol.100 , pp. 1694-1700
    • Quinlan, G.D.1    Tremaine, S.2
  • 10
    • 7544224048 scopus 로고    scopus 로고
    • Geometry and Hamiltonian mechanics on discrete spaces
    • V. Talasila, J. Clemente-Gallardo, A. J. van der Schaft, Geometry and Hamiltonian mechanics on discrete spaces, J. Phys. A 37 (2004) (41), 9705-9734.
    • (2004) J. Phys. A , vol.37 , Issue.41 , pp. 9705-9734
    • Talasila, V.1    Clemente-Gallardo, J.2    Van Der Schaft, A.J.3
  • 11
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    • Ergodicity and the Numerical Simulation of Hamiltonian Systems, SIAM
    • P. F. Tupper, Ergodicity and the Numerical Simulation of Hamiltonian Systems, SIAM J. Appl. Dyn. Syst., 4(3) (2005), 563-587.
    • (2005) J. Appl. Dyn. Syst. , vol.4 , Issue.3 , pp. 563-587
    • Tupper, P.F.1

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.