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An embedded method for integrating systems of structurally separated ordinary differential equations

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Abstract

An explicit embedded method of the Dormand-Prince type designed for integrating systems of ordinary differential equations of special form is examined. A family of economical fifth-order numerical schemes for integrating systems of structurally separated ordinary differential equations is constructed.

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Correspondence to A. S. Eremin.

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Original Russian Text © A.S. Eremin, I.V. Olemskoy, 2010, published in Zhurnal Vychislitel’noi Matematiki i Matematicheskoi Fiziki, 2010, Vol. 50, No. 3, pp. 434–448.

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Eremin, A.S., Olemskoy, I.V. An embedded method for integrating systems of structurally separated ordinary differential equations. Comput. Math. and Math. Phys. 50, 414–427 (2010). https://doi.org/10.1134/S0965542510030048

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  • DOI: https://doi.org/10.1134/S0965542510030048

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