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Volumn 43, Issue 5, 2000, Pages

Computational uncertainty principle in nonlinear ordinary differential equations (I) - Numerical results

Author keywords

Computational uncertainty principle; Discretization error; Maximally effective computation time (MECT); Nonlinear; Optimal stepsize (OS); Ordinary differential equations (ODEs); Round off error; Strong dependence on machine precision; Universal relation

Indexed keywords


EID: 0042409330     PISSN: 10069321     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (28)

References (12)
  • 6
    • 0000241853 scopus 로고
    • Deterministic nonperiodic flow
    • Lorenz, E. N., Deterministic nonperiodic flow, J. Atmos. Sci., 1963, 20(130): 130.
    • (1963) J. Atmos. Sci. , vol.20 , Issue.130 , pp. 130
    • Lorenz, E.N.1
  • 7
    • 0001640825 scopus 로고
    • Chaotic behavior of multidimensional difference equatins
    • eds. Peitgen, H. O., Walther, H. O., Berlin: Springer-Verlag
    • Kaplan, J . L., Yorke, J. A., Chaotic behavior of multidimensional difference equatins, in Functional Differential Equations and Approximation of Fixed Points (eds. Peitgen, H. O., Walther, H. O.), Berlin: Springer-Verlag, 1979, 204-227.
    • (1979) Functional Differential Equations and Approximation of Fixed Points , pp. 204-227
    • Kaplan, J.L.1    Yorke, J.A.2
  • 10
    • 0000778337 scopus 로고
    • Grundlagen einer allgemeinen mannichfältigkeitslehre
    • Contor, G., Grundlagen einer allgemeinen mannichfältigkeitslehre, Math. Annalen., 1883, 21: 545.
    • (1883) Math. Annalen. , vol.21 , pp. 545
    • Contor, G.1
  • 11
    • 0026402428 scopus 로고
    • A unified approach to spurious solutions introduced by time discretization, Part I. Basic theory
    • Iserles, A., Peplow, A. T., Stuart, A. M., A unified approach to spurious solutions introduced by time discretization, Part I. Basic theory, SIAM J. Numer. Anal., 1991, 28: 1723.
    • (1991) SIAM J. Numer. Anal. , vol.28 , pp. 1723
    • Iserles, A.1    Peplow, A.T.2    Stuart, A.M.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.