On symmetric-conjugate composition methods in the numerical integration of differential equations
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comunitat-uji-handle2:10234/7037
comunitat-uji-handle3:10234/8635
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Title
On symmetric-conjugate composition methods in the numerical integration of differential equationsDate
2021Publisher
American Mathematical SocietyBibliographic citation
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.Type
info:eu-repo/semantics/articlePublisher version
https://www.ams.org/journals/mcom/2022-91-336/S0025-5718-2021-03715-1/Version
info:eu-repo/semantics/acceptedVersionSubject
Abstract
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. [-]
Is part of
Mathematics of Computation, 2022, vol. 91, no 336.Funder Name
UK Research & Innovation (UKRI) | Engineering & Physical Sciences Research Council (EPSRC) | Ministerio de Ciencia e Innovación
Project code
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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- MAT_Articles [765]