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Volumn 47, Issue 1, 2007, Pages 121-135

Solving differential-algebraic equations by Taylor series (II): Computing the System Jacobian

Author keywords

Automatic differentiation; Differential algebraic equations (DAEs); Structural analysis; Taylor series

Indexed keywords


EID: 33947232075     PISSN: 00063835     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10543-006-0106-8     Document Type: Article
Times cited : (31)

References (12)
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  • 4
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    • A. Griewank and A. Walther, On the efficient generation of Taylor expansions for DAB solutions by automatic differentiation, in PARA'04, State-of-the-art in Scientific Computing, J. Dongarra, K. Madsen, and J. Wasniewski (eds.), in Lect. Notes Comput. Sci., vol. 3732, pp. 1103-1111. Springer, 2006.
  • 5
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    • PhD thesis, Department of Mathematics and Department of Physics and Astronomy, Michigan State University, East Lansing, MI 48824, August
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  • 7
    • 28144454918 scopus 로고    scopus 로고
    • Solving differential-algebraic equations by Taylor series (I): Computing Taylor coefficients
    • N. S. Nedialkov and J. D. Pryce, Solving differential-algebraic equations by Taylor series (I): Computing Taylor coefficients, BIT, 45 (2005), pp. 561-591.
    • (2005) BIT , vol.45 , pp. 561-591
    • Nedialkov, N.S.1    Pryce, J.D.2
  • 8
    • 0000353268 scopus 로고
    • The consistent initialization of differential-algebraic systems
    • C. C. Pantelides, The consistent initialization of differential-algebraic systems, SIAM. J. Sci. Stat. Comput., 9 (1988), pp. 213-231.
    • (1988) SIAM. J. Sci. Stat. Comput , vol.9 , pp. 213-231
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  • 9
    • 0032262788 scopus 로고    scopus 로고
    • Solving high-index DAEs by Taylor series
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  • 10
    • 0041331524 scopus 로고    scopus 로고
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    • J. D. Pryce, A simple structural analysis method for DAEs, BIT, 41 (2001), pp. 364-394.
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  • 11
    • 17744370292 scopus 로고    scopus 로고
    • Differential-algebraic equations of index 1 may have an arbitrarily high structural index
    • G. Reissig, W. S. Martinson, and P. I. Barton, Differential-algebraic equations of index 1 may have an arbitrarily high structural index, SIAM J. Sci. Comput., 21 (2000), pp. 1987-1990.
    • (2000) SIAM J. Sci. Comput , vol.21 , pp. 1987-1990
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  • 12
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    • O. Stauning and C. Bendtsen, FADBAD++ web page, May 2003. FADBAD++ is available at www.imm.dtu.dk/fadbad.html.
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.