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Volumn 111, Issue 1-2, 1999, Pages 49-61

Runge-Kutta methods for DAEs. A new approach

Author keywords

65L05; Contractivity* B stability; Differential algebraic system; Logarithmic norm; Runge Kutta method

Indexed keywords

ASYMPTOTIC STABILITY; DIFFERENTIAL EQUATIONS; LINEAR ALGEBRA;

EID: 0033349146     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0427(99)00131-4     Document Type: Article
Times cited : (16)

References (17)
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  • 3
    • 0038925122 scopus 로고
    • The numerical solution of higher index differential/algebraic equations by implicit Runge-Kutta methods
    • Brenan K.E., Petzold L.R. The numerical solution of higher index differential/algebraic equations by implicit Runge-Kutta methods. SIAM J. Numer. Anal. 26:1989;976-996.
    • (1989) SIAM J. Numer. Anal. , vol.26 , pp. 976-996
    • Brenan, K.E.1    Petzold, L.R.2
  • 4
    • 0000516112 scopus 로고
    • Difference methods for the numerical solution of time varying singular systems of differential equations
    • Clark K.D. Difference methods for the numerical solution of time varying singular systems of differential equations. SIAM J. Algebra Disc. Meth. 7:1986;236-246.
    • (1986) SIAM J. Algebra Disc. Meth. , vol.7 , pp. 236-246
    • Clark, K.D.1
  • 6
    • 0003216820 scopus 로고
    • Differential Algebraic Equations and Their Numerical Treatment
    • Leipzig
    • E. Griepentrog, R. März, Differential Algebraic Equations and Their Numerical Treatment, Teubner Texte zur Mathematik 88, Leipzig, 1986.
    • (1986) Teubner Texte zur Mathematik , vol.88
    • Griepentrog, E.1    März, R.2
  • 7
    • 0003321806 scopus 로고
    • The Numerical Solution of Differential Algebraic Systems by Runge-Kutta methods
    • Springer, Berlin
    • E. Hairer, CH. Lubich, M. Roche, The Numerical Solution of Differential Algebraic Systems by Runge-Kutta methods, Lecture Notes in Mathematics, Vol. 1409, Springer, Berlin, 1989.
    • (1989) Lecture Notes in Mathematics , vol.1409
    • Hairer, E.1    Lubich, C.H.2    Roche, M.3
  • 9
    • 0009907775 scopus 로고
    • On the asymptotics in the case of differential algebraic equations
    • October
    • M. Hanke, R. März, On the asymptotics in the case of differential algebraic equations. Talk given in Oberwolfach, October 1995.
    • (1995) Talk Given in Oberwolfach
    • Hanke, M.1    März, R.2
  • 14
    • 0000889510 scopus 로고
    • Index-2 differential algebraic equations
    • März R. Index-2 differential algebraic equations. Results Math. 15:1989;148-171.
    • (1989) Results Math. , vol.15 , pp. 148-171
    • März, R.1
  • 16
    • 0022767918 scopus 로고
    • Order results or implicit Runge-Kutta methods applied to differential/algebraic systems
    • Petzold L.R. Order results or implicit Runge-Kutta methods applied to differential/algebraic systems. SIAM J. Numer. Anal. 23:1986;837-851.
    • (1986) SIAM J. Numer. Anal. , vol.23 , pp. 837-851
    • Petzold, L.R.1
  • 17
    • 0028196450 scopus 로고
    • On the stability of solutions of autonomous index-1 tractable and quasilinear index-2 tractable DAEs
    • Tischendorf C. On the stability of solutions of autonomous index-1 tractable and quasilinear index-2 tractable DAEs. Circuit Systems Signal Process. 13:1994;139-154.
    • (1994) Circuit Systems Signal Process , vol.13 , pp. 139-154
    • Tischendorf, C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.