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Fundamentalnaya i Prikladnaya Matematika, 2000, Volume 6, Issue 4, Pages 1131–1140 (Mi fpm530)  
On symmetry of some Runge–Kutta methods

G. Yu. Kulikov

Ulyanovsk State University
Full-text PDF (398 kB)
Abstract: In the paper we investigate the property of symmetry for Runge–Kutta methods. We prove that methods possessing such property are fully implicit, and they can be constructed by the Gauss and Lobatto quadrature formulas. But only the Gauss formulas give algebraically stable Runge–Kutta methods.
Received: 01.04.1997
Bibliographic databases:
UDC: 519.622
Language: Russian
Citation: G. Yu. Kulikov, “On symmetry of some Runge–Kutta methods”, Fundam. Prikl. Mat., 6:4 (2000), 1131–1140
Citation in format AMSBIB
\Bibitem{Kul00}
\by G.~Yu.~Kulikov
\paper On symmetry of some Runge--Kutta methods
\jour Fundam. Prikl. Mat.
\yr 2000
\vol 6
\issue 4
\pages 1131--1140
\mathnet{http://mi.mathnet.ru/fpm530}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1813016}
\zmath{https://zbmath.org/?q=an:1055.65085}
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  • https://www.mathnet.ru/eng/fpm/v6/i4/p1131
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