E. A. Novikov, A. E. Novikov
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The paper offers a way of linearizing order conditions. It allows simplifying the investigation of (m,k)-methods. The authors have constructed the L-stable (4,2)-method of the fourth order and have obtained the inequality for accuracy control of calculations. The paper presents numerical results which confi rm the efficiency of the alternating step algorithm.
Keywords: stiff system, (4,2)-scheme, embedded method, accuracy control, alternating step.
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