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This article is cited in 2 scientific papers (total in 2 papers)
Mathematics
Algorithm of integrating stiff problems using the explicit and implicit methods
E. A. Novikov Institute of Computational Modelling, Siberian Branch of the Russian Academy of Sciences, Krasnoyarsk
Abstract:
An $L$-stable $(3,2)$-method order 3 and an explicit three-stage Runge–Kutta scheme order 1 are constructed. An integration algorithm of variable order and step is constructed that is based on of the two schemes The most effective numerical scheme is chosen for each step by means of stability control. The results are given that confirm the effectiveness of the algorithm.
Key words:
stiff problems, explicit and implicit methods, stability and accuracy control, variable order.
Citation:
E. A. Novikov, “Algorithm of integrating stiff problems using the explicit and implicit methods”, Izv. Saratov Univ. Math. Mech. Inform., 12:4 (2012), 19–27
Linking options:
https://www.mathnet.ru/eng/isu327 https://www.mathnet.ru/eng/isu/v12/i4/p19
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