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Article information
2011 , Volume 16, ¹ 2, p.78-85
Latypov A.F., Popik O.V.
Computational method for solving of the Cauchy problem for stiff systems of ordinary differential equations based on multilink interpolated Hermite polynomials
One-step A- and L (delta)–stability methods for solving of the Cauchy problem for stiff systems of ODE based on multilink interpolated Hermite polynomials are considered. Accuracy evaluation and an algorithm for calculation of the global accuracy are presented. Results of calculations for test problems are compared
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Keywords: systems of ordinary first-order differential equations, Cauchy problem, stability, Hermite polynomials interpolation, accuracy evaluation
Author(s):
Latypov Albert Fatkhievich
PhD.
Position: Leading research officer
Office: Khristianovich Institute of Theoretical and Applied Mechanics SB RAS
Address: 630090, Russia, Novosibirsk
E-mail: latypov@itam.nsc.ru
Popik Olga Vasilievna
Office: Khristianovich Institute of Theoretical and Applied Mechanics SB RAS
Address: 630090, Russia, Novosibirsk
E-mail: popik.olga@gmail.com
Bibliography link:
Latypov A.F., Popik O.V. Computational method for solving of the Cauchy problem for stiff systems of ordinary differential equations based on multilink interpolated Hermite polynomials // Computational technologies. 2011. V. 16. ¹ 2. P. 78-85
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