On symmetric-conjugate composition methods in the numerical integration of differential equations
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On symmetric-conjugate composition methods in the numerical integration of differential equationsData de publicació
2021Editor
American Mathematical SocietyCita bibliogràfica
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.Tipus de document
info:eu-repo/semantics/articleVersió de l'editorial
https://www.ams.org/journals/mcom/2022-91-336/S0025-5718-2021-03715-1/Versió
info:eu-repo/semantics/acceptedVersionParaules clau / Matèries
Resum
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. [-]
Publicat a
Mathematics of Computation, 2022, vol. 91, no 336.Entitat finançadora
UK Research & Innovation (UKRI) | Engineering & Physical Sciences Research Council (EPSRC) | Ministerio de Ciencia e Innovación
Codi del projecte o subvenció
EP/R014604/1 | PID2019-104927GB-C21/AEI/10.13039/501100011033
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http://rightsstatements.org/vocab/InC/1.0/
info:eu-repo/semantics/openAccess
info:eu-repo/semantics/openAccess
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