FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA
(FUNDAMENTAL AND APPLIED MATHEMATICS)
2000, VOLUME 6, NUMBER 4, PAGES 1131-1140
G. Yu. Kulikov
Abstract
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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.
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