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Volumn 217, Issue 2, 1998, Pages 501-520

On the Qualitative Behaviour of Symplectic Integrators. Part II. Integrable Systems

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EID: 0001236679     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.1997.5728     Document Type: Article
Times cited : (10)

References (12)
  • 2
    • 21344491735 scopus 로고
    • On the Hamiltonian interpolation of near to the identity symplectic mappings with application to symplectic integration algorithms
    • Benettin G., Giorgilli A. On the Hamiltonian interpolation of near to the identity symplectic mappings with application to symplectic integration algorithms. J. Statist. Phys. 74:1994;1117-1143.
    • (1994) J. Statist. Phys. , vol.74 , pp. 1117-1143
    • Benettin, G.1    Giorgilli, A.2
  • 4
    • 0011615763 scopus 로고
    • Canonical Runge-Kutta methods
    • Lasagni F. Canonical Runge-Kutta methods. Z. Angew. Math. Phys. 39:1988;952-953.
    • (1988) Z. Angew. Math. Phys. , vol.39 , pp. 952-953
    • Lasagni, F.1
  • 5
    • 0002650276 scopus 로고
    • An exponential estimate of the time of stability of nearly-integrable Hamiltonian systems
    • [in Russian]; translation
    • Nekhoroshev N. N. An exponential estimate of the time of stability of nearly-integrable Hamiltonian systems. Uspekhi Mat. Nauk. 32:1977;5-66 [in Russian]; translation,Russian Math. Surveys32.
    • (1977) Uspekhi Mat. Nauk , vol.32 , pp. 5-66
    • Nekhoroshev, N.N.1
  • 6
    • 0038976122 scopus 로고
    • Runge-Kutta schemes for Hamiltonian systems
    • Sanz-Serna J. M. Runge-Kutta schemes for Hamiltonian systems. BIT. 28:1988;877-883.
    • (1988) BIT , vol.28 , pp. 877-883
    • Sanz-Serna, J.M.1
  • 7
    • 84971897259 scopus 로고
    • Symplectic integrators for Hamiltonian problems: An overview
    • Cambridge: Cambridge Univ. Press. p. 243-286
    • Sanz-Serna J. M. Symplectic integrators for Hamiltonian problems: An overview. Acta Numerica. 1992;Cambridge Univ. Press, Cambridge. p. 243-286.
    • (1992) Acta Numerica
    • Sanz-Serna, J.M.1
  • 9
    • 0031501317 scopus 로고    scopus 로고
    • On the qualitative behaviour of symplectic integrators. Part I. Perturbed linear systems
    • Stoffer D. On the qualitative behaviour of symplectic integrators. Part I. Perturbed linear systems. Numer. Math. 77:1997;535-547.
    • (1997) Numer. Math. , vol.77 , pp. 535-547
    • Stoffer, D.1
  • 10
    • 0040683633 scopus 로고    scopus 로고
    • On the qualitative behaviour of symplectic integrators. Part III. Perturbed integrable systems
    • D. Stoffer, On the qualitative behaviour of symplectic integrators. Part III. Perturbed integrable systems, J. Math. Anal. Appl.
    • J. Math. Anal. Appl.
    • Stoffer, D.1
  • 11
    • 0037747984 scopus 로고
    • Canonical transformations generated by methods of Runge-Kutta type for the numerical integration of the systemxUx
    • [In Russian]
    • Suris Y. B. Canonical transformations generated by methods of Runge-Kutta type for the numerical integration of the systemxUx. Zh. Vychisl. Mat. i Mat. Fiz. 29:1989;202-211. [In Russian].
    • (1989) Zh. Vychisl. Mat. I Mat. Fiz. , vol.29 , pp. 202-211
    • Suris, Y.B.1
  • 12
    • 0040114714 scopus 로고
    • Recent progress in the theory and application of symplectic integrators
    • Yoshida M. Recent progress in the theory and application of symplectic integrators. Celestial Mech. Dynam. Astronom. 56:1993;27-43.
    • (1993) Celestial Mech. Dynam. Astronom. , vol.56 , pp. 27-43
    • Yoshida, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.