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Volumn 14, Issue 5, 2006, Pages 561-577

Fuzzy arithmetic based on dimension-adaptive sparse grids: A case study of a large-scale finite element model under uncertain parameters

Author keywords

Computing fuzzy functions; Extension principle; Fuzzy numbers; Sparse grids; Uncertainty modeling

Indexed keywords

ADAPTIVE ALGORITHMS; DIGITAL ARITHMETIC; FINITE ELEMENT METHOD; LARGE SCALE SYSTEMS; MATHEMATICAL MODELS; UNCERTAIN SYSTEMS;

EID: 33750017254     PISSN: 02184885     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218488506004199     Document Type: Article
Times cited : (11)

References (20)
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  • 3
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    • Experimental comparison of probabilistic methods and fuzzy set based methods for designing under uncertainty
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    • G. Maglaras, E. Nikolaidis, R. T. Haftka, H. H. Cudney, Experimental comparison of probabilistic methods and fuzzy set based methods for designing under uncertainty, in: Uncertainty Modeling in Vibration and Fuzzy Analysis of Structural Systems, Vol. 10 of Series on Stability, Vibration and Control of Systems B, World Scientific Publishing, Singapore, 1997, Ch. 9, pp. 253-318.
    • (1997) Series on Stability, Vibration and Control of Systems B , vol.10 , pp. 253-318
    • Maglaras, G.1    Nikolaidis, E.2    Haftka, R.T.3    Cudney, H.H.4
  • 4
    • 33750031670 scopus 로고    scopus 로고
    • Uncertainty Modeling in Vibration and Fuzzy Analysis of Structural Systems
    • B. M. Ayyub, A. Guran, A. Haldar (Eds.), World Scientific Publishing, Singapore
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    • (1997) Series on Stability, Vibration and Control of Systems B , vol.10
  • 6
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    • Computing expensive multivariate functions of fuzzy numbers using sparse grids
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  • 9
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    • Algorithm 847: Spinterp: Piecewise multilinear hierarchical sparse grid interpolation in MATLAB
    • A. Klimke, B. Wohlmuth, Algorithm 847: spinterp: Piecewise multilinear hierarchical sparse grid interpolation in MATLAB, ACM Transactions on Mathematical Software 31 (4) (2005) 561-579.
    • (2005) ACM Transactions on Mathematical Software , vol.31 , Issue.4 , pp. 561-579
    • Klimke, A.1    Wohlmuth, B.2
  • 10
    • 2942687314 scopus 로고    scopus 로고
    • Adaptive sparse grids
    • K. Burrage, R. B. Sidje (Eds.), Proceedings of the 2001 International conference on Computational Techniques and Applications, University of Queensland
    • M. Hegland, Adaptive sparse grids, in: K. Burrage, R. B. Sidje (Eds.), Proceedings of the 2001 International conference on Computational Techniques and Applications, University of Queensland, Vol. 44 of ANZIAM Journal, 2003, pp. C335-C353.
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  • 11
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  • 19
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    • Constructing dimension-adaptive sparse grid interpolants using parallel function evaluations
    • to appear
    • A. Klimke, B. Wohlmuth, Constructing dimension-adaptive sparse grid interpolants using parallel function evaluations, Parallel Processing Letters (2006) (to appear).
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    • Klimke, A.1    Wohlmuth, B.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.