Solving systems differential-algebraic equations of high indices

Computational Mathematics and Mathematical Physics

Volumn 40, Issue 2, 2000, Pages 189-196

  Balakina, E A ^a   Kuznetsov, E B ^a  

^a MOSCOW AVIATION INSTITUTE NATIONAL RESEARCH UNIVERSITY   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33746977834     PISSN: 09655425     EISSN: 15556662     Source Type: Journal    
DOI: None     Document Type: Article

References (9)

1. Boyarintsev, E.B., Danilov, V.F., Loginov, A.A., and Chistyakov, V.F., Chislennye metody resheniya singulyarnykh sistem (Numerical Methods for Solving Singular Systems), Novosibirsk: Nauka, 1989.
2. Griepentrog, E. and März, R., Differential-Algebraic Equations and Their Numerical Treatment, Leipzig: Teubner, 1986.
3. Hairer, E., Libich, C., and Roche, M., The Numerical Solution of Differential-Algebraic Systems by Runge-Kutta Methods, Berlin: Springer, 1989.
4. Hairer, E. and Wanner, G., Solving Ordinary Differential Equations: 2. Stiff and Differential-Algebraic Problems, Berlin: Springer, 1991.
5. Brenan, K.E., Campbell, S.L., and Petzold, L.R., Numerical Solution of Initial-Value Problems in Differential-Algebraic Equations, New York: North-Holland, 1989.
6. Shalashilin, V.I. and Kuznetsov, E.B., The Best Parameter for Extending the Solution, Dokl. Ross. Akad. Nauk, 1994, vol. 334, no. 5, pp. 566-568.
7. Kuznetsov, E.B. and Shalashilin, V.I., Cauchi Problem as the Problem of Extension with Respect to the Best Parameter, Differ. Uravn., 1994, vol. 30, no. 6, pp. 964-971.
8. Kuznetsov, E.B. and Shalashilin, V.I., Solving Differential Algebraic Equations with the Choice of the Best Argument, Zh. Vychisl. Mat. Mat. Fiz., 1997, vol. 37, no. 6, pp. 711-722.
9. Gantmakher, F.T., Teoriya matrits (Theory of Matrices), Moscow: Nauka, 1966.