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JOURNALS // Preprints of the Keldysh Institute of Applied Mathematics // Archive

Keldysh Institute preprints, 2017 018, 28 pp. (Mi ipmp2234)

This article is cited in 4 papers

On one numerical method for solving ordinary differential equations

M. P. Galanin, S. A. Konev


Abstract: The method for solving stiff systems of ordinary differential equations based on calculation of matrix exponent is introduced. In addition, the method of accuracy control for linear problems is developed. Computational results for linear and non-linear problems and their dependencies on problem and method parameters are shown.

Keywords: chemical kinetics, stiff systems, matrix exponent, exponential integrator, Van der Pol oscillator.

DOI: 10.20948/prepr-2017-18



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