Next Article in Journal
Unification Theories: New Results and Examples
Previous Article in Journal
Visual-Servoing Based Global Path Planning Using Interval Type-2 Fuzzy Logic Control
Previous Article in Special Issue
Advanced Numerical Methods in Applied Sciences
Correction of Axioms 2018, 7(3), 58.
Open AccessCorrection

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

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
Show Figures

Figure 1

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.

Show more citation formats Show less citations formats
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Article Access Map by Country/Region

1
Back to TopTop