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Volumn 35, Issue 4, 1998, Pages 1326-1346

On asymptotics in case of linear index-2 differential-algebraic equations

Author keywords

Asymptotic properties; Backward differentiation formulas; Differential algebraic equation; Runge Kutta method; Stability

Indexed keywords


EID: 0000192449     PISSN: 00361429     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0036142994268879     Document Type: Article
Times cited : (20)

References (16)
  • 1
    • 0026204126 scopus 로고
    • Projected implicit Runge-Kutta methods for differential-algebraic equations
    • U. ASCHER AND L. R. PETZOLD, Projected implicit Runge-Kutta methods for differential-algebraic equations, SIAM J. Numer. Anal., 28 (1991), pp. 1097-1120.
    • (1991) SIAM J. Numer. Anal. , vol.28 , pp. 1097-1120
    • Ascher, U.1    Petzold, L.R.2
  • 2
    • 0002987221 scopus 로고
    • Stability of computational methods for constrained dynamic systems
    • U. ASCHER AND L. R. PETZOLD, Stability of computational methods for constrained dynamic systems, SIAM J. Sci. Comput., 14 (1993), pp. 95-120.
    • (1993) SIAM J. Sci. Comput. , vol.14 , pp. 95-120
    • Ascher, U.1    Petzold, L.R.2
  • 4
    • 0003216820 scopus 로고
    • Differential-Algebraic Equations and Their Numerical Treatment
    • Teubner, Leipzig
    • E. GRIEPENTROG AND R. MÄRZ, Differential-Algebraic Equations and Their Numerical Treatment, Teubner-Texte Math. 88, Teubner, Leipzig, 1986.
    • (1986) Teubner-Texte Math. , vol.88
    • Griepentrog, E.1    März, R.2
  • 8
    • 0000889510 scopus 로고
    • Index-2 differential-algebraic equations
    • R. MÄRZ, Index-2 differential-algebraic equations, Results Math., 15 (1989), pp. 148-171.
    • (1989) Results Math. , vol.15 , pp. 148-171
    • März, R.1
  • 9
    • 0041022144 scopus 로고
    • Higher-index differential-algebraic equations: Analysis and numerical treatment
    • R. MÄRZ, Higher-index differential-algebraic equations: Analysis and numerical treatment, Banach Center Publ., 24 (1990), pp. 199-222.
    • (1990) Banach Center Publ. , vol.24 , pp. 199-222
    • März, R.1
  • 11
    • 84971942321 scopus 로고
    • Numerical methods for differential-algebraic equations
    • R. MÄRZ, Numerical methods for differential-algebraic equations, Acta Numerica, X (1992), pp. 141-198.
    • (1992) Acta Numerica , vol.10 , pp. 141-198
    • März, R.1
  • 12
    • 26744450793 scopus 로고
    • Practical Lyapunov stability criteria for differential-algebraic equations
    • R. E. Bank, R. Bulirach, H. Gajewski, and K. Merten, eds., Birkhäuser, Basel
    • R. MÄRZ, Practical Lyapunov stability criteria for differential-algebraic equations, in Mathematical Modelling and Simulation of Electrical Circuits and Semiconductor Devices, R. E. Bank, R. Bulirach, H. Gajewski, and K. Merten, eds., Birkhäuser, Basel, 1994, pp. 73-81.
    • (1994) Mathematical Modelling and Simulation of Electrical Circuits and Semiconductor Devices , pp. 73-81
    • März, R.1
  • 13
    • 0042889979 scopus 로고
    • Solving more general index-2 differential algebraic equations
    • R. MÄRZ AND C. TISCHENDORF, Solving more general index-2 differential algebraic equations, Comput. Math. Appl., 28 (1994), pp. 77-105.
    • (1994) Comput. Math. Appl. , vol.28 , pp. 77-105
    • März, R.1    Tischendorf, C.2
  • 14
    • 0022767918 scopus 로고
    • Order results for implicit Runge-Kutta methods applied to differential algebraic systems
    • L. R. PETZOLD, Order results for implicit Runge-Kutta methods applied to differential algebraic systems, SIAM J. Numer. Anal., 23 (1986), pp. 837-852.
    • (1986) SIAM J. Numer. Anal. , vol.23 , pp. 837-852
    • Petzold, L.R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.