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Volumn 45, Issue 2-3, 2003, Pages 175-200

Stability preserving integration of index-1 DAEs

Author keywords

Differential algebraic equations; Global stability; Numerical integration methods

Indexed keywords

APPROXIMATION THEORY; INTEGRATION; MATRIX ALGEBRA; SET THEORY;

EID: 0037401583     PISSN: 01689274     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0168-9274(02)00215-5     Document Type: Article
Times cited : (33)

References (16)
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  • 2
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    • A unified approach to linear differential algebraic equations and their adjoints
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    • Difference methods for the numerical solution of time varying singular systems of differential equations
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    • (1986) SIAM J. Alg. Disc. Math. , vol.7 , Issue.2 , pp. 236-246
    • Clark, K.D.1
  • 6
    • 0033349146 scopus 로고    scopus 로고
    • 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
  • 8
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  • 9
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    • 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, 2000, Comput. Math. Appl., to appear.
    • (2000) Comput. Math. Appl.
    • Higueras, I.1    März, R.2
  • 12
    • 0021937836 scopus 로고
    • On initial value problems in differential-algebraic equations and their numerical treatment
    • März R. On initial value problems in differential-algebraic equations and their numerical treatment. Computing. 35:1985;13-37.
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  • 13
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    • Differential algebraic systems anew
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    • März, R.1
  • 14
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    • 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:(238):2001;605-632.
    • (2001) Math. Comput. , vol.71 , Issue.238 , pp. 605-632
    • März, R.1    Rodriguez Santiesteban, A.R.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.