A numerical method for solving differential-algebraic equations

Computational Mathematics and Mathematical Physics

Volumn 42, Issue 4, 2002, Pages 439-449

  Bulatov, M V ^a   Chistyakov, V F ^a  

^a MATROSOV INSTITUTE FOR SYSTEM DYNAMICS AND CONTROL THEORY   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33746547883     PISSN: 09655425     EISSN: 15556662     Source Type: Journal    
DOI: None     Document Type: Article

References (13)

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2. Brenan, K.E., Campbell, S.L., and Petzold, L.R., Numerical Solution of Initial-Value Problems in Differential-Algebraic Equations, Classics in Applied Mathematics, vol. 14, Philadelphia: SIAM, 1996.
3. Bulatov, M.V. and Chistyakov, V.F., On the Conditions for Convergence of Difference Schemes for ODE Systems Not Solved for Derivatives, Metody chislennogo analiza i optimizatsii (Methods for Numerical Analysis and Optimization), Novosibirsk: Nauka, 1987, pp. 175-187.
4. Bulatov, M.V. and Chistyakov, V.F., A Numerical Method for Linear Singular ODE Systems of Higher-Than-Unity Index, Chislennye metody analiza i ikh prilozheniya (Numerical Analysis Methods and Their Applications), Irkutsk: Sib. Energ. Inst., Akad. Nauk SSSR, 1987, pp. 100-105.
5. Bulatov, M.V., Difference Schemes for Differential-Algebraic Systems, Zh. Vychisl. Mat. Mat. Fiz., 1998, vol. 38, no. 10, pp. 1641-1650.
6. Chistyakov, V.F., Application of Difference Methods to Linear Systems Not Solved for Derivatives, Metody optimizatsii i ikh prilozheniya (Optimization Methods and Their Applications), Irkutsk: Sib. Energ. Inst., Akad. Nauk SSSR, 1987, pp. 145-149.
7. Griepentrog, E. and Maerz, R., Differential-Algebraic Equations and Their Numerical Treatment, Teubner-Texte zur Mathematik, vol. 88, Leipzig: Teubner, 1986.
8. Modern Numerical Methods for Ordinary Differential Equations, Hall, G. and Watt, J.M., Eds., Oxford: Clarendon, 1976.
9. Translated under the title Sovremennye chislennye metody resheniya obyknovennykh differentsial'nykh uravnenii Moscow: Mir, 1979.
10. Boyarintsev, Yu.E. and Chistyakov, V.F., Algebro-differentsial'nye sistemy: Metody chislennogo resheniya i issledovaniya (Differential-Algebraic Systems: Methods for Numerical Solution and Analysis), Novosibirsk: Nauka, 1998.
11. Chistyakov, V.F., On the Extension of Linear Systems Not Solved for Derivatives, Preprint of Irkutsk Computing Center, Sib. Dm, USSR Acad. Sci., Irkutsk, 1986, no. 5, p. 25.
12. Campbell, S.L., The Numerical Solution of Higher Index Linear Time-Varying Singular Systems of Differential Equations, SIAM J. Sci. Stat. Comput., 1985, no. 6, pp. 334-338.
13. Demidovich, B.P. and Maron, I.A., Osnovy vychislitel'noi matematiki (Fundamentals of Computational Mathematics), Moscow: Fizmatgiz, 1960.