On symmetric-conjugate composition methods in the numerical integration of differential equations
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Otros documentos de la autoría: Blanes, S.; Casas, Fernando; Chartier, Philippe; Escorihuela-Tomàs, Alejandro
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On symmetric-conjugate composition methods in the numerical integration of differential equationsFecha de publicación
2021Editor
American Mathematical SocietyCita bibliográfica
BLANES, Sergio, et al. On symmetric-conjugate composition methods in the numerical integration of differential equations. Mathematics of Computation, 2022, vol. 91, no 336, p. 1739-1761.Tipo de documento
info:eu-repo/semantics/articleVersión de la editorial
https://www.ams.org/journals/mcom/2022-91-336/S0025-5718-2021-03715-1/Versión
info:eu-repo/semantics/acceptedVersionPalabras clave / Materias
Resumen
We analyze composition methods with complex coefficients exhibiting the
so-called “symmetry-conjugate” pattern in their distribution. In particular, we
study their behavior with respect to preservation of qualitative ... [+]
We analyze composition methods with complex coefficients exhibiting the
so-called “symmetry-conjugate” pattern in their distribution. In particular, we
study their behavior with respect to preservation of qualitative properties when
projected on the real axis and we compare them with the usual left-right palindromic compositions. New schemes within this family up to order 8 are proposed
and their efficiency is tested on several examples. Our analysis shows that higherorder schemes are more efficient even when time step sizes are relatively large. [-]
Publicado en
Mathematics of Computation, 2022, vol. 91, no 336.Entidad financiadora
UK Research & Innovation (UKRI) | Engineering & Physical Sciences Research Council (EPSRC) | Ministerio de Ciencia e Innovación
Código del proyecto o subvención
EP/R014604/1 | PID2019-104927GB-C21/AEI/10.13039/501100011033
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info:eu-repo/semantics/openAccess
info:eu-repo/semantics/openAccess
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