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This article is cited in 3 scientific papers (total in 3 papers)
Application of explicit methods with extended stability regions for solving stiff problems
Eugeny A. Novikova, Mikhail V. Rybkovb a Institute of Computational Modeling SB RAS, Akademgorodok, 50/44, Krasnoyarsk, 660036, Russia
b Institute of Mathematics and Computer Science, Siberian Federal University, Svobodny, 79, Krasnoyarsk, 660041, Russia
Abstract:
An algorithm is developed to determine coefficients of the stability polynomials such that the explicit Runge–Kutta methods have a predetermined shape and size of the stability region. Inequalities for accuracy and stability control are obtained. The impact of the stability control on efficiency of explicit methods to solving stiff problems is shown. Numerical calculations confirm that the three-step method of the first order with extended stability region is more efficient than the traditional three-stage method of the third order.
Keywords:
stiff problem, explicit methods, stability region, accuracy and stability control.
Received: 10.11.2015 Received in revised form: 15.01.2016 Accepted: 20.02.2016
Citation:
Eugeny A. Novikov, Mikhail V. Rybkov, “Application of explicit methods with extended stability regions for solving stiff problems”, J. Sib. Fed. Univ. Math. Phys., 9:2 (2016), 209–219
Linking options:
https://www.mathnet.ru/eng/jsfu478 https://www.mathnet.ru/eng/jsfu/v9/i2/p209
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Abstract page: | 170 | Full-text PDF : | 59 | References: | 48 |
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