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Volumn 52, Issue 2, 2013, Pages 433-451

Optimal spatiotemporal reduced order modeling, Part II: Application to a nonlinear beam

Author keywords

Multiscale modeling; Nonlinear beam dynamics; Optimal prediction; Reduced order modeling; Subgrid scale dynamics

Indexed keywords

FINITE DIFFERENCE METHOD; MEAN SQUARE ERROR; STOCHASTIC MODELS; STOCHASTIC SYSTEMS;

EID: 84879841116     PISSN: 01787675     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00466-012-0821-8     Document Type: Article
Times cited : (4)

References (15)
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  • 3
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    • Crespo da Silva MRN (1988) Non-linear flexural-flexural-torsional- extensional dynamics of beams-I. Formulation. Int J Solids Struct 24(12):1225-1234
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    • Hall, E.K.1    Hanagud, S.V.2
  • 5
    • 0000069184 scopus 로고
    • A nonlinear oscillator with a strange attractor
    • 0423.34049 10.1098/rsta.1979.0068
    • Holmes PJ (1979) A nonlinear oscillator with a strange attractor. Philos Trans Royal Soc 292:419-448
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    • Holmes, P.J.1
  • 10
    • 0027867391 scopus 로고
    • High-dimensional chaos can lead to weak turbulence
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    • Reynolds RR, Virgin LN, Dowell EH (1993) High-dimensional chaos can lead to weak turbulence. Nonlinear Dyn 4:531-546
    • (1993) Nonlinear Dyn , vol.4 , pp. 531-546
    • Reynolds, R.R.1    Virgin, L.N.2    Dowell, E.H.3
  • 11
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    • Analysis and application of multiple-precision computation and round-off error for nonlinear dynamical systems
    • DOI 10.1007/s00376-006-0758-y
    • Wang PF, Huang G, Wang ZZ (2006) Analysis and application of multiple precision computation and round-off error for nonlinear dynamical systems. Adv Atmospheric Sci 23:758-766 (Pubitemid 44696762)
    • (2006) Advances in Atmospheric Sciences , vol.23 , Issue.5 , pp. 758-766
    • Wang, P.1    Huang, G.2    Wang, Z.3
  • 12
    • 84856555730 scopus 로고    scopus 로고
    • Nelkin scaling for the Burgers equation and the role of high-precision calculations
    • 015301
    • Chakraborty S, Frisch U, Pauls W, Ray SS (2012) Nelkin scaling for the Burgers equation and the role of high-precision calculations. Phys Rev E 85(015301):1-4
    • (2012) Phys Rev e , vol.85 , pp. 1-4
    • Chakraborty, S.1    Frisch, U.2    Pauls, W.3    Ray, S.S.4
  • 14
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    • On necessary and sufficient conditions for chaos to occur in duffing's equation: An heuristic approach
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    • Dowell, E.H.1    Pezeshki, C.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.