Corrigendum to "On a Class of Conjugate Symplectic Hermite–Obreshkov One-Step Methods with Continuous Spline Extension" [Axioms 7(3), 58, 2018]

Francesca Mazzia, Alessandra Sestini
<span title="2019-05-16">2019</span> <i title="MDPI AG"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/snp4qy45wbcu3bcifcnyqqg54m" style="color: black;">Axioms</a> </i> &nbsp;
The authors of the above mentioned paper specify that the considered class of one-step symmetric Hermite-Obreshkov methods satisfies the property of conjugate-symplecticity up to order p + r , where r = 2 and p is the order of the method. This generalization of conjugate-symplecticity states that the methods conserve quadratic first integrals and the Hamiltonian function over time intervals of length O ( h − r ) . Theorem 1 of the above mentioned paper is then replaced by a new one. All the
more &raquo; ... r results in the paper do not change. Two new figures related to the already considered Kepler problem are also added.
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