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Volumn 56, Issue 13, 2003, Pages 1949-1972

Data structure and algorithms for fast automatic differentiation

Author keywords

Data structure; Leibnitz chain rules; Multivariable arbitrary order automatic differentiation; Taylor coefficients

Indexed keywords

ALGORITHMS; COMPUTATIONAL METHODS; DATA STRUCTURES; NUMERICAL METHODS;

EID: 0037424926     PISSN: 00295981     EISSN: None     Source Type: Journal    
DOI: 10.1002/nme.647     Document Type: Article
Times cited : (29)

References (17)
  • 1
    • 0002441121 scopus 로고
    • To the problem of software engineering of the computer differentiation of superpositions of the functions
    • In Russian
    • Rvachev VL, Manko GP, Fedko VV. To the problem of software engineering of the computer differentiation of superpositions of the functions. Dokl AS UkrSSR 1981; 1:72-74 (In Russian).
    • (1981) Dokl AS UkrSSR , vol.1 , pp. 72-74
    • Rvachev, V.L.1    Manko, G.P.2    Fedko, V.V.3
  • 2
    • 0020821263 scopus 로고
    • Technology of differentiating functions of many variables on an electronic computer
    • Rvachev VL, Manko GP, Fedko VV. Technology of differentiating functions of many variables on an electronic computer. Cybernetics 1983; 19(5):626-629.
    • (1983) Cybernetics , vol.19 , Issue.5 , pp. 626-629
    • Rvachev, V.L.1    Manko, G.P.2    Fedko, V.V.3
  • 5
    • 0026874578 scopus 로고
    • An efficient method for the numerical evaluation of partial derivatives of arbitrary order
    • Neidinger RD. An efficient method for the numerical evaluation of partial derivatives of arbitrary order. ACM Transactions on Mathematical Software 1992; 18(2):159-173.
    • (1992) ACM Transactions on Mathematical Software , vol.18 , Issue.2 , pp. 159-173
    • Neidinger, R.D.1
  • 6
    • 11244250591 scopus 로고
    • Computing multivariable taylor series to arbitrary order
    • San Antonio, Texas, USA, June
    • Neidinger RD. Computing multivariable taylor series to arbitrary order. In APL95 Conference Proceedings, APL Quote Quad, vol. 25, San Antonio, Texas, USA, June 1995; 134-144.
    • (1995) APL95 Conference Proceedings, APL Quote Quad , vol.25 , pp. 134-144
    • Neidinger, R.D.1
  • 7
    • 0002249579 scopus 로고    scopus 로고
    • An introduction to automatic differentiation
    • Berz M, Bischof CH, Corliss GF, Griewank A (eds). SIAM: Philadelphia, Penn
    • Rall LB, Corliss GF. An introduction to automatic differentiation. In Computational Differentiation: Techniques, Applications, and Tools, Berz M, Bischof CH, Corliss GF, Griewank A (eds). SIAM: Philadelphia, Penn., 1996; 1-17.
    • (1996) Computational Differentiation: Techniques, Applications, and Tools , pp. 1-17
    • Rall, L.B.1    Corliss, G.F.2
  • 8
    • 0012869377 scopus 로고    scopus 로고
    • Calculus and numerics on Levi-Civita fields
    • Berz M, Bischof C, Corliss G, Griewank A (eds). SIAM: Philadelphia, Penn
    • Berz M. Calculus and numerics on Levi-Civita fields. In Computational Differentiation: Techniques, Applications, and Tools, Berz M, Bischof C, Corliss G, Griewank A (eds). SIAM: Philadelphia, Penn., 1996; 19-35.
    • (1996) Computational Differentiation: Techniques, Applications, and Tools , pp. 19-35
    • Berz, M.1
  • 10
    • 0002402664 scopus 로고
    • Forward algorithms for higher derivatives in many variables with applications to beam physics
    • Corliss GF, Griewank A (eds). 6-8 January
    • Berz M. Forward algorithms for higher derivatives in many variables with applications to beam physics. In Automatic Differentiation of Algorithms: Theory, Implementation and Application, Corliss GF, Griewank A (eds). 6-8 January 1991; 147-156.
    • (1991) Automatic Differentiation of Algorithms: Theory, Implementation and Application , pp. 147-156
    • Berz, M.1
  • 11
    • 0003979008 scopus 로고
    • Technical Report, Lawrence Berkeley National Laboratory, Berkeley, CA
    • Berz M. The DA precompiler DAFOR. Technical Report, Lawrence Berkeley National Laboratory, Berkeley, CA, 1990.
    • (1990) The DA Precompiler DAFOR
    • Berz, M.1
  • 16
    • 0032631418 scopus 로고    scopus 로고
    • Meshfree simulation of deforming domains
    • Shapiro V, Tsukanov I. Meshfree simulation of deforming domains. Computer-Aided Design 1999; 31: 459-471.
    • (1999) Computer-Aided Design , vol.31 , pp. 459-471
    • Shapiro, V.1    Tsukanov, I.2
  • 17
    • 0036952058 scopus 로고    scopus 로고
    • The architecture of SAGE - A meshfree system based on RFM
    • Tsukanov I, Shapiro V. The architecture of SAGE-a meshfree system based on RFM. Engineering with Computers, 2002; 18(4):295-311.
    • (2002) Engineering With Computers , vol.18 , Issue.4 , pp. 295-311
    • Tsukanov, I.1    Shapiro, V.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.