G-symplecticity implies conjugate-symplecticity of the underlying one-step method

Author: D’Ambrosio R.   Hairer E.   Zbinden C.  

Publisher: Springer Publishing Company

ISSN: 0006-3835

Source: Bit Numerical Mathematics, Vol.53, Iss.4, 2013-12, pp. : 867-872

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Abstract

This note proves that the underlying one-step method of a G-symplectic general linear method is conjugate to a symplectic method. Parasitic solution components are not considered.