This article is cited in 9 papers

The geometric structure of the parameter space of the three-stage symplectic Runge–Kutta methods

G. G. Yelenin, P. I. Shlyakhov

Lomonosov Moscow State University

Abstract: The geometric structure of the parameter space of the three-stage symplectic Runge–Kutta methods is established. The elemets of the structure are the loci, corresponding to the methods of different orders of approximation.

Keywords: symplectic Runge–Kutta methods, order of approximation, structure of parameter space.

UDC: 519.622.2

Received: 26.04.2010

 English version: Mathematical Models and Computer Simulations, 2011, 3:6, 680–689

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