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Volumn 14, Issue 3, 2004, Pages 279-296

On the Γ-convergence of discrete dynamics and variational integrators

Author keywords

discrete dynamics; flat norm; spectral convergence; variational integrators; convergence

Indexed keywords


EID: 84867951207     PISSN: 09388974     EISSN: 14321467     Source Type: Journal    
DOI: 10.1007/BF02666023     Document Type: Article
Times cited : (42)

References (14)
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  • 2
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    • Belytschko, T. [1981], Partitioned and adaptive algorithms for explicit time integration. In W. Wunderlich, E. Stein, and K.-J. Bathe, editors, Nonlinear Finite Element Analysis in Structural Mechanics, 572-584. Springer-Verlag, New York.
    • (1981) Nonlinear Finite Element Analysis in Structural Mechanics , pp. 572-584
    • Belytschko, T.1
  • 5
    • 0031505057 scopus 로고    scopus 로고
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    • (1997) Numerische Mathematik , vol.76 , pp. 441-462
    • Hairer, E.1    Lubich, C.2
  • 7
    • 0033243778 scopus 로고    scopus 로고
    • Symplectic energy-momentum integrators
    • Kane, C., J. E. Marsden, and M. Ortiz [1999], Symplectic energy-momentum integrators, J. Math. Phys., 40, 3353-3371.
    • (1999) J. Math. Phys. , vol.40 , pp. 3353-3371
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  • 9
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    • 84959193128 scopus 로고    scopus 로고
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    • Marsden, J.E.1    West, M.2
  • 11
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    • Discrete versions of some classical integrable systems and factorization of matrix polynomials
    • Moser, J., and A. P. Veselov [1991], Discrete versions of some classical integrable systems and factorization of matrix polynomials, Commun. Math. Phys., 139, 217-243.
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    • Moser, J.1    Veselov, A.P.2
  • 12
    • 0001444647 scopus 로고    scopus 로고
    • Backward error analysis for numerical integrators
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    • Reich, S. [1999], Backward error analysis for numerical integrators, SIAM J. Num. Anal., 36, 1549-1570. (Pubitemid 129568023)
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    • Reich, S.1
  • 13
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  • 14
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    • Mechanical integrators derived from a discrete variational principle
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    • Wendlandt, J. M., and J. E. Marsden [1997], Mechanical integrators derived from a discrete variational principle, Physica D, 106, 223-246. (Pubitemid 127701482)
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    • Wendlandt, J.M.1    Marsden, J.E.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.