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Advanced Numerical Methods in Applied Sciences
Correction to Axioms 2018, 7(3), 58.
Correction

Correction to “On a Class of Hermite-Obreshkov One-Step Methods with Continuous Spline Extension” [Axioms 7(3), 58, 2018]

by 1,*,† and 2,†
1
Dipartimento di Informatica, Università degli Studi di Bari Aldo Moro, 70125 Bari, Italy
2
Dipartimento di Matematica e Informatica U. Dini, Università di Firenze, 50134 Firenze, Italy
*
Author to whom correspondence should be addressed.
Member of the INdAM Research group GNCS.
Axioms 2019, 8(2), 59; https://doi.org/10.3390/axioms8020059
Received: 7 May 2019 / Revised: 11 May 2019 / Accepted: 13 May 2019 / Published: 16 May 2019
(This article belongs to the Special Issue Advanced Numerical Methods in Applied Sciences)
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 other results in the paper do not change. Two new figures related to the already considered Kepler problem are also added. View Full-Text
Keywords: initial value problems; one-step methods; Hermite–Obreshkov methods; symplecticity; B-splines; BS methods initial value problems; one-step methods; Hermite–Obreshkov methods; symplecticity; B-splines; BS methods
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MDPI and ACS Style

Mazzia, F.; Sestini, A. Correction to “On a Class of Hermite-Obreshkov One-Step Methods with Continuous Spline Extension” [Axioms 7(3), 58, 2018]. Axioms 2019, 8, 59. https://doi.org/10.3390/axioms8020059

AMA Style

Mazzia F, Sestini A. Correction to “On a Class of Hermite-Obreshkov One-Step Methods with Continuous Spline Extension” [Axioms 7(3), 58, 2018]. Axioms. 2019; 8(2):59. https://doi.org/10.3390/axioms8020059

Chicago/Turabian Style

Mazzia, Francesca, and Alessandra Sestini. 2019. "Correction to “On a Class of Hermite-Obreshkov One-Step Methods with Continuous Spline Extension” [Axioms 7(3), 58, 2018]" Axioms 8, no. 2: 59. https://doi.org/10.3390/axioms8020059

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