G-symplecticity implies conjugate-symplecticity of the underlying one-step method
Raffaele D'Ambrosio, Ernst Hairer and Christophe Zbinden
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.
Key Words. Multi-value method, G-symplectic, underlying one-step method, conjugate-symplectic.