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Volumn 187, Issue 2, 2003, Pages 544-549

On the extension of the complex-step derivative technique to pseudospectral algorithms

Author keywords

Complex step derivative; Directional derivative; Numerical differentiation; Optimization; Tangent linear analysis

Indexed keywords

CODES (SYMBOLS); DIFFERENTIATION (CALCULUS); FINITE ELEMENT METHOD; NONLINEAR ANALYSIS;

EID: 0038625270     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0021-9991(03)00123-2     Document Type: Article
Times cited : (31)

References (8)
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  • 2
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    • Numerical algorithms based on the theory of complex variable
    • Proceedings of the ACM 22nd National Conference, Thomas Book Co., Washington DC
    • J.N. Lyness, Numerical algorithms based on the theory of complex variable, in: Proceedings of the ACM 22nd National Conference, Thomas Book Co., Washington DC, 1967, pp. 124-134.
    • (1967) , pp. 124-134
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  • 3
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    • Using complex variables to estimate derivatives of real functions
    • W. Squire, G. Trapp, Using complex variables to estimate derivatives of real functions, SIAM Rev. 40 (1) (1998) 110-112.
    • (1998) SIAM Rev. , vol.40 , Issue.1 , pp. 110-112
    • Squire, W.1    Trapp, G.2
  • 4
    • 0004081542 scopus 로고    scopus 로고
    • Multidisciplinary sensitivity derivatives using complex variables
    • Technical report, Engineering Research Center Report, Missisipi State University, mSSU-COE-ERC-98-08, July
    • J.C. Newman, W.K. Anderson, D.L. Whitfield, Multidisciplinary sensitivity derivatives using complex variables, Technical report, Engineering Research Center Report, Missisipi State University, mSSU-COE-ERC-98-08, July 1998.
    • (1998)
    • Newman, J.C.1    Anderson, W.K.2    Whitfield, D.L.3
  • 5
    • 0037614323 scopus 로고    scopus 로고
    • Sensitivity analysis for the Navier-Stokes equations on unstructured meshes using complex variables
    • AIAA Paper 99-3294
    • W.K. Anderson, J.C. Newman, D.L. Whitfield, E.J. Nielsen, Sensitivity analysis for the Navier-Stokes equations on unstructured meshes using complex variables, AIAA Paper 99-3294.
    • Anderson, W.K.1    Newman, J.C.2    Whitfield, D.L.3    Nielsen, E.J.4
  • 6
    • 0346267551 scopus 로고    scopus 로고
    • An automated method for sensitivity analysis using complex variables
    • AIAA Paper 00-0689
    • J.R.R.A. Martins, I.M. Kroo, J.J. Alonso, An automated method for sensitivity analysis using complex variables, AIAA Paper 00-0689.
    • Martins, J.R.R.A.1    Kroo, I.M.2    Alonso, J.J.3
  • 7
    • 1542296216 scopus 로고    scopus 로고
    • The connection between the complex-step derivative approximation and algorithmic differentiation
    • AIAA Paper 01-0921
    • J.R.R.A. Martins, P. Sturdza, J.J. Alonso, The connection between the complex-step derivative approximation and algorithmic differentiation, AIAA Paper 01-0921.
    • Martins, J.R.R.A.1    Sturdza, P.2    Alonso, J.J.3
  • 8
    • 0022711503 scopus 로고
    • Sensitivity analysis of discrete structural systems
    • H.M. Adelman, R.T. Haftka, Sensitivity analysis of discrete structural systems, AIAA J. 24 (5) (1986) 823-832.
    • (1986) AIAA J. , vol.24 , Issue.5 , pp. 823-832
    • Adelman, H.M.1    Haftka, R.T.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.