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Volumn 45, Issue 2-3, 2003, Pages 201-229

Stability preserving integration of index-2 DAEs

Author keywords

BDF; Differential algebraic equations; Global stability; Numerical integration methods; Runge Kutta

Indexed keywords

APPROXIMATION THEORY; INTEGRATION; LINEAR ALGEBRA; RUNGE KUTTA METHODS;

EID: 0037402052     PISSN: 01689274     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0168-9274(02)00216-7     Document Type: Article
Times cited : (29)

References (16)
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  • 2
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    • A unified approach to linear differential algebraic equations and their adjoints
    • Balla K., März R. A unified approach to linear differential algebraic equations and their adjoints. Z. Anal. Anwendungen. 21:2002;783-802.
    • (2002) Z. Anal. Anwendungen , vol.21 , pp. 783-802
    • Balla, K.1    März, R.2
  • 6
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    • Runge-Kutta methods for DAEs - A new approach
    • Garcia-Celayeta B., Higueras I. Runge-Kutta methods for DAEs - A new approach. J. Comput. Appl. Math. 111:(1-2):1999;49-61.
    • (1999) J. Comput. Appl. Math. , vol.111 , Issue.1-2 , pp. 49-61
    • Garcia-Celayeta, B.1    Higueras, I.2
  • 7
    • 0021477978 scopus 로고
    • ODE methods for the solution of differential/algebraic systems
    • Gear C.W., Petzold L.R. ODE methods for the solution of differential/algebraic systems. SIAM J. Numer. Anal. 21:1984;716-728.
    • (1984) SIAM J. Numer. Anal. , vol.21 , pp. 716-728
    • Gear, C.W.1    Petzold, L.R.2
  • 10
    • 0000192449 scopus 로고    scopus 로고
    • On asymptotics in case of linear index-2 differential-algebraic equations
    • Hanke M., Izquierdo Macana E., März R. On asymptotics in case of linear index-2 differential-algebraic equations. SIAM J. Numer. Anal. 35:1998;1326-1346.
    • (1998) SIAM J. Numer. Anal. , vol.35 , pp. 1326-1346
    • Hanke, M.1    Izquierdo Macana, E.2    März, R.3
  • 11
    • 0012754199 scopus 로고    scopus 로고
    • Differential algebraic equations with properly stated leading term
    • Preprint 2000-20, Humboldt Univ. of Berlin, Institute of Mathematics, to appear
    • I. Higueras, R. März, Differential algebraic equations with properly stated leading term, Preprint 2000-20, Humboldt Univ. of Berlin, Institute of Mathematics, 2002, Comp. Math. Appl., to appear.
    • (2002) Comp. Math. Appl.
    • Higueras, I.1    März, R.2
  • 13
    • 0000889510 scopus 로고
    • Index-2 differential-algebraic equations
    • März R. Index-2 differential-algebraic equations. Results in Math. 15:1989;148-171.
    • (1989) Results in Math. , vol.15 , pp. 148-171
    • März, R.1
  • 14
    • 0036679944 scopus 로고    scopus 로고
    • Differential algebraic systems anew
    • März R. Differential algebraic systems anew. Appl. Numer. Math. 42:2002;315-335.
    • (2002) Appl. Numer. Math. , vol.42 , pp. 315-335
    • März, R.1
  • 15
    • 0036013531 scopus 로고    scopus 로고
    • Analyzing the stability behaviour of solutions and their approximations in case of index-2 differential-algebraic systems
    • März R., Rodriguez Santiesteban A.R. Analyzing the stability behaviour of solutions and their approximations in case of index-2 differential-algebraic systems. Math. Comput. 71:2001;605-632.
    • (2001) Math. Comput. , vol.71 , pp. 605-632
    • März, R.1    Rodriguez Santiesteban, A.R.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.