Runge–Kutta–Nyström symplectic splitting methods of order 8
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Otros documentos de la autoría: Blanes, Sergio; Casas, Fernando; Escorihuela-Tomàs, Alejandro
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Título
Runge–Kutta–Nyström symplectic splitting methods of order 8Fecha de publicación
2022-12Editor
ElsevierISSN
0168-9274Cita bibliográfica
Blanes, S.; Casas, F.; Escorihuela-Tomàs, A. Runge–Kutta–Nyström symplectic splitting methods of order 8. Applied Numerical Mathematics 2022, 182, 14-27. https://doi.org/10.1016/j.apnum.2022.07.010Tipo de documento
info:eu-repo/semantics/articleVersión de la editorial
https://www.sciencedirect.com/science/article/pii/S0168927422001842Versión
info:eu-repo/semantics/publishedVersionPalabras clave / Materias
Resumen
Different families of Runge–Kutta–Nyström (RKN) symplectic splitting methods of order 8 are presented for second-order systems of ordinary differential equations and are tested on numerical examples. They show a better ... [+]
Different families of Runge–Kutta–Nyström (RKN) symplectic splitting methods of order 8 are presented for second-order systems of ordinary differential equations and are tested on numerical examples. They show a better efficiency than state-of-the-art symmetric compositions of 2nd-order symmetric schemes and RKN splitting methods of orders 4 and 6 for medium to high accuracy. For some particular examples, they are even more efficient than extrapolation methods for high accuracies and integrations over relatively short time intervals. [-]
Publicado en
Applied Numerical Mathematics, 2022, vol. 182Entidad financiadora
Ministerio de Ciencia, Innovación y Universidades
Identificador de la entidad financiadora
http://dx.doi.org/10.13039/501100011033
Código del proyecto o subvención
MICIU/ICTI2017-2020/ PID2019-104927GB-C21
Título del proyecto o subvención
Metodos de integración geométrica para problemas cuánticos, mecánica celeste y simulaciones de Montecarlo I
Derechos de acceso
info:eu-repo/semantics/openAccess
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