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Volumn 33, Issue 3, 1997, Pages 31-43

Solving algebraically explicit DAEs with the MANPAK-manifold-algorithms

Author keywords

Algebraically explicit; Computational algorithms; Differential algebraic equations; FORTRAN package; Manifold

Indexed keywords

ALGORITHMS; COMPUTATIONAL COMPLEXITY; DIFFERENTIAL EQUATIONS; FORTRAN (PROGRAMMING LANGUAGE); PROBLEM SOLVING; THEOREM PROVING;

EID: 0031070477     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0898-1221(96)00235-0     Document Type: Article
Times cited : (12)

References (15)
  • 1
    • 0030378528 scopus 로고    scopus 로고
    • MANPAK: A set of algorithms for computations on implicitly defined manifolds
    • Tech. Kept. TR-ICMA-96-198, Inst. for Comp. Math. and Appl., Univ. of Pittsburgh, July (submitted)
    • W.C. Rheinboldt, MANPAK: A set of algorithms for computations on implicitly defined manifolds, Tech. Kept. TR-ICMA-96-198, Inst. for Comp. Math. and Appl., Univ. of Pittsburgh, (July 1996); Computers Math. Applic. (submitted).
    • (1996) Computers Math. Applic.
    • Rheinboldt, W.C.1
  • 2
    • 0040843167 scopus 로고
    • On the existence and uniqueness of solutions of nonlinear semi-implicit differential-algebraic equations
    • W.C. Rheinboldt, On the existence and uniqueness of solutions of nonlinear semi-implicit differential-algebraic equations, Nonlin. Anal.: Theory Methods and Applic. 16, 647-661 (1991).
    • (1991) Nonlin. Anal.: Theory Methods and Applic. , vol.16 , pp. 647-661
    • Rheinboldt, W.C.1
  • 3
    • 84972545522 scopus 로고
    • A general existence and uniqueness theorem for implicit differential-algebraic equations
    • P.J. Rabier and W.C. Rheinboldt, A general existence and uniqueness theorem for implicit differential-algebraic equations, Diff. and Integral Equ. 4, 563-582 (1991).
    • (1991) Diff. and Integral Equ. , vol.4 , pp. 563-582
    • Rabier, P.J.1    Rheinboldt, W.C.2
  • 4
    • 0000877389 scopus 로고
    • A geometric treatment of implicit differential algebraic equations
    • P.J. Rabier and W.C. Rheinboldt, A geometric treatment of implicit differential algebraic equations, J. on Diff. Equ. 109, 110-146 (1994).
    • (1994) J. on Diff. Equ. , vol.109 , pp. 110-146
    • Rabier, P.J.1    Rheinboldt, W.C.2
  • 6
    • 84968464929 scopus 로고
    • On the computation of impasse points of quasi-linear differential algebraic equations
    • P. J. Rabier and W.C. Rheinboldt, On the computation of impasse points of quasi-linear differential algebraic equations, Math. of Comp. 62, 133-154 (1994).
    • (1994) Math. of Comp. , vol.62 , pp. 133-154
    • Rabier, P.J.1    Rheinboldt, W.C.2
  • 7
    • 0000474711 scopus 로고
    • On impasse points of quasi-linear differential algebraic equations
    • P.J. Rabier and W.C. Rheinboldt, On impasse points of quasi-linear differential algebraic equations, J. Math. Anal. and Appl. 181, 429-454 (1994).
    • (1994) J. Math. Anal. and Appl. , vol.181 , pp. 429-454
    • Rabier, P.J.1    Rheinboldt, W.C.2
  • 8
    • 0001484123 scopus 로고
    • On the numerical solution of the Euler Lagrange equations
    • P.J. Rabier and W.C. Rheinboldt, On the numerical solution of the Euler Lagrange equations, SIAM J. Num. Anal. 32, 318-329 (1995).
    • (1995) SIAM J. Num. Anal. , vol.32 , pp. 318-329
    • Rabier, P.J.1    Rheinboldt, W.C.2
  • 9
    • 0042889979 scopus 로고
    • Solving more general index-2 differential equations
    • R. Maerz and C. Tischendorf, Solving more general index-2 differential equations, Computers Math. Applic. 28 (10-12), 77-105 (1994).
    • (1994) Computers Math. Applic. , vol.28 , Issue.10-12 , pp. 77-105
    • Maerz, R.1    Tischendorf, C.2
  • 13
    • 0022463326 scopus 로고
    • Nonlinear parameter estimation: A case study
    • L.T. Biegler and J.J. Damiano, Nonlinear parameter estimation: A case study, AIChE Journal 32, 29-45 (1986).
    • (1986) AIChE Journal , vol.32 , pp. 29-45
    • Biegler, L.T.1    Damiano, J.J.2
  • 14
    • 0041887855 scopus 로고
    • Performance analysis of some methods for solving Euler-Lagrange equations
    • W.C. Rheinboldt and B. Simeon, Performance analysis of some methods for solving Euler-Lagrange equations, Appl. Math. Lett. 8 (1), 77-82 (1995).
    • (1995) Appl. Math. Lett. , vol.8 , Issue.1 , pp. 77-82
    • Rheinboldt, W.C.1    Simeon, B.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.