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Showing papers by "Th. Monovasilis published in 2014"

Proceedings Article•DOI•
Construction of exponentially fitted symplectic Runge-Kutta-Nyström methods from partitioned Runge-Kutta methods

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Th. Monovasilis1, Zacharoula Kalogiratou, T. E. Simos2•
Technological Educational Institute of Western Macedonia1, King Saud University2
06 Oct 2014
TL;DR: This work derives exponentially fitted symplectic Runge-Kutta-Nystrom (RKN) methods from symplectic exponentially fitted partitioned Runge (PRK) methods methods (for the approximate solution of general problems of this category see [18] and references therein).
Abstract: In this work we derive exponentially fitted symplectic Runge-Kutta-Nystrom (RKN) methods from symplectic exponentially fitted partitioned Runge-Kutta (PRK) methods methods (for the approximate solution of general problems of this category see [18] - [40] and references therein). We construct RKN methods from PRK methods with up to five stages and fourth algebraic order.

48 citations

Journal Article•DOI•
Runge–Kutta type methods with special properties for the numerical integration of ordinary differential equations

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Zacharoula Kalogiratou, Th. Monovasilis1, G. Psihoyios2, T. E. Simos3, T. E. Simos2 •
Technological Educational Institute of Western Macedonia1, University of Peloponnese2, King Saud University3
20 Mar 2014-Physics Reports
TL;DR: This work reviews single step methods of the Runge–Kutta type with special properties specially tuned to integrate problems that exhibit a pronounced oscillatory character and such problems arise often in celestial mechanics and quantum mechanics.

43 citations

Journal Article•DOI•
A fourth order modified trigonometrically fitted symplectic Runge-Kutta-Nyström method

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Zacharoula Kalogiratou, Th. Monovasilis1, T. E. Simos2, T. E. Simos3•
Technological Educational Institute of Western Macedonia1, University of Peloponnese2, King Saud University3
01 Dec 2014-Computer Physics Communications
TL;DR: A modified trigonometrically fitted symplectic Runge Kutta Nystrom method based on the fourth order five stages method of Calvo and Sanz-Serna (1994) is constructed.

29 citations