New families of symplectic splitting methods for numerical integration in dynamical astronomy
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Otros documentos de la autoría: Blanes, Sergio; Casas, Fernando; Farrés Basiana, Ariadna; Laskar, Jacques; Makazaga, Joseba; Murua, Ander
Metadatos
Mostrar el registro completo del ítemcomunitat-uji-handle:10234/9
comunitat-uji-handle2:10234/7037
comunitat-uji-handle3:10234/8635
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INVESTIGACIONMetadatos
Título
New families of symplectic splitting methods for numerical integration in dynamical astronomyAutoría
Fecha de publicación
2013-06Editor
ElsevierCita bibliográfica
BLANES, S.; CASAS PÉREZ, F.; FARRÉS BASIANA, A.; LASKAR, J.; MAKAZAGA, J.; MURUA, A. New families of symplectic splitting methods for numerical integration in dynamical astronomy. Applied Numerical Mathematics, Volume 68 (June 2013), Pages 58–72Tipo de documento
info:eu-repo/semantics/articleVersión de la editorial
http://www.sciencedirect.com/science/article/pii/S0168927413000135Versión
info:eu-repo/semantics/publishedVersionPalabras clave / Materias
Resumen
We present new splitting methods designed for the numerical integration of near-integrable Hamiltonian systems, and in particular for planetary N-body problems, when one is interested in very accurate results over a ... [+]
We present new splitting methods designed for the numerical integration of near-integrable Hamiltonian systems, and in particular for planetary N-body problems, when one is interested in very accurate results over a large time span. We derive in a systematic way an independent set of necessary and sufficient conditions to be satisfied by the coefficients of splitting methods to achieve a prescribed order of accuracy. Splitting methods satisfying such (generalized) order conditions are appropriate in particular for the numerical simulation of the Solar System described in Jacobi coordinates. We show that, when using Poincaré Heliocentric coordinates, the same order of accuracy may be obtained by imposing an additional polynomial equation on the coefficients of the splitting method. We construct several splitting methods appropriate for each of the two sets of coordinates by solving the corresponding systems of polynomial equations and finding the optimal solutions. The experiments reported here indicate that the efficiency of our new schemes is clearly superior to previous integrators when high accuracy is required [-]
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Applied Numerical Mathematics, Volume 68 (June 2013)Derechos de acceso
http://rightsstatements.org/vocab/CNE/1.0/
info:eu-repo/semantics/openAccess
info:eu-repo/semantics/openAccess
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