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Numerical solution of integral-algebraic equations for multistep methods

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Abstract

Systems of Volterra linear integral equations with identically singular matrices in the principal part (called integral-algebraic equations) are examined. Multistep methods for the numerical solution of a selected class of such systems are proposed and justified.

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Correspondence to O. S. Budnikova.

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Original Russian Text © O.S. Budnikova, M.V. Bulatov, 2012, published in Zhurnal Vychislitel’noi Matematiki i Matematicheskoi Fiziki, 2012, Vol. 52, No. 5, pp. 829–839.

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Budnikova, O.S., Bulatov, M.V. Numerical solution of integral-algebraic equations for multistep methods. Comput. Math. and Math. Phys. 52, 691–701 (2012). https://doi.org/10.1134/S0965542512050041

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