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Volumn 3732 LNCS, Issue , 2006, Pages 1089-1098

On the efficient generation of taylor expansions for DAE solutions by automatic differentiation

Author keywords

[No Author keywords available]

Indexed keywords

DIFFERENTIATION (CALCULUS); INFORMATION SCIENCE; NONLINEAR EQUATIONS; POLYNOMIALS;

EID: 33745318870     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/11558958_131     Document Type: Conference Paper
Times cited : (9)

References (12)
  • 3
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    • Automated formula manipulation supports object-oriented continuous-system modelling
    • F. Collier and H. Elmquist: Automated formula manipulation supports object-oriented continuous-system modelling. IEEE Control System Magazine 13, 28-38, 1993.
    • (1993) IEEE Control System Magazine , vol.13 , pp. 28-38
    • Collier, F.1    Elmquist, H.2
  • 4
    • 33745307500 scopus 로고    scopus 로고
    • http://www.seanet.com/~bradbell/CppAD/
  • 5
    • 0020143282 scopus 로고
    • Solving ordinary differential equations using Taylor series
    • Y.F. Chang and G. Corliss: Solving ordinary differential equations using Taylor series. ACM Trans. Math. Software 8, 114-144, 1982.
    • (1982) ACM Trans. Math. Software , vol.8 , pp. 114-144
    • Chang, Y.F.1    Corliss, G.2
  • 6
    • 0032552259 scopus 로고    scopus 로고
    • Dynamic optimization with state variable path constraints
    • W. Feehery and P. Barton: Dynamic optimization with state variable path constraints. Comput. Chem. Engrg. 22, 1241-1256, 1998.
    • (1998) Comput. Chem. Engrg. , vol.22 , pp. 1241-1256
    • Feehery, W.1    Barton, P.2
  • 7
    • 0003319841 scopus 로고    scopus 로고
    • Evaluating derivatives, principles and techniques of algorithmic differentiation
    • SIAM, Phil.
    • A. Griewank: Evaluating Derivatives, Principles and Techniques of Algorithmic Differentiation, Frontiers in Appl. Math. 19, SIAM, Phil., 2000.
    • (2000) Frontiers in Appl. Math. , vol.19
    • Griewank, A.1
  • 8
    • 0030168036 scopus 로고    scopus 로고
    • ADOL-C: A package for the automatic differentiation of algorithms written in C/C++
    • A. Griewank, D. Juedes, and J. Utke: ADOL-C: A package for the automatic differentiation of algorithms written in C/C++. TOMS 22, 131-167, 1996.
    • (1996) TOMS , vol.22 , pp. 131-167
    • Griewank, A.1    Juedes, D.2    Utke, J.3
  • 9
    • 0000353268 scopus 로고
    • The consistent initialization of differential-algebraic systems
    • C.C. Pantelides: The consistent initialization of differential-algebraic systems. SIAM J. Sci. Statist. Comput. 9, 213-231, 1988.
    • (1988) SIAM J. Sci. Statist. Comput. , vol.9 , pp. 213-231
    • Pantelides, C.C.1
  • 10
    • 0032262788 scopus 로고    scopus 로고
    • Solving high-index DAEs by Taylor series
    • J. Pryce: Solving high-index DAEs by Taylor series. Numer. Algorithms 19, 195-211, 1998.
    • (1998) Numer. Algorithms , vol.19 , pp. 195-211
    • Pryce, J.1
  • 11
    • 0041331524 scopus 로고    scopus 로고
    • A simple structural analysis method for DAEs
    • J. Pryce: A simple structural analysis method for DAEs. BIT 41, 364-394, 2001.
    • (2001) BIT , vol.41 , pp. 364-394
    • Pryce, J.1
  • 12
    • 17744370292 scopus 로고    scopus 로고
    • Differential-algebraic equations of index 1 may have an arbitrarily high structural index
    • G. Reißig, W. Martinson, and P. Barton: Differential-algebraic equations of index 1 may have an arbitrarily high structural index. SIAM J. Sci. Comput. 21, 1987-1990, 2000.
    • (2000) SIAM J. Sci. Comput. , vol.21 , pp. 1987-1990
    • Reißig, G.1    Martinson, W.2    Barton, P.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.