Abstract
In this paper some class of nonlinear differential-algebraic equations of high index is considered. For the numerical solution of this problem the family of multistep, multistage difference schemes of high order is proposed. In some cases this difference schemes are Runge-Kutta methods. The estimate of error is found.
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Bulatov, M.V. (2003). Numerical Solution of Differential-Algebraic Equations by Block Methods. In: Sloot, P.M.A., Abramson, D., Bogdanov, A.V., Gorbachev, Y.E., Dongarra, J.J., Zomaya, A.Y. (eds) Computational Science — ICCS 2003. ICCS 2003. Lecture Notes in Computer Science, vol 2658. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-44862-4_55
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DOI: https://doi.org/10.1007/3-540-44862-4_55
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