Application of the least squares method to solving linear differential-algebraic equations

Author:

Chistyakov V. F.,Chistyakova E. V.

Publisher

Pleiades Publishing Ltd

Subject

Numerical Analysis

Reference21 articles.

1. Brenan, K.E., Campbell, S.L., and Petzold, L.R., Numerical Solution of Initial-Value Problems in Differential-Algebraic Equations (Classics in AppliedMathematics), vol. 14, Philadelphia: SIAM, 1996.

2. Boyarintsev, Yu.E. and Chistyakov, V.F., Algebro-differentsial’nye sistemy. Metody resheniya i issledovaniya (Algebraic-Differential Systems: Methods of Solution and Investigation), Novosibirsk: Nauka, 1998.

3. Chistyakov, V.F., Methods of Solving Singular Linear Systems of Ordinary Differential Equations, in: Vyrozhdennye sistemy obuknovennykh differentsial’nykh uravnenii (Degenerate Systems of Ordinary Differential Equations), Novosibirsk: Nauka, 1982, pp. 37–66.

4. Bulatov, M.V. and Chistyakov, V.F., Solving Algebraic-Differential Systems by the Least Squares Method, Trudy 11 Mezhdunar. Baikalskoi shkoly-seminara (Proc. 11th Int. Baikal School-Seminar), Irkutsk, July 5–12, 1998, vol. 4, pp. 72–75.

5. Gorbunov, V.K., Method of Normal Spline-Collocation, Zh. Vych. Mat. Mat. Fiz., 1989, vol. 29, no. 2, pp. 212–224.

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