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On symmetric-conjugate composition methods in the numerical integration of differential equations
dc.contributor.author | Blanes, S. | |
dc.contributor.author | Casas, Fernando | |
dc.contributor.author | Chartier, Philippe | |
dc.contributor.author | Escorihuela-Tomàs, Alejandro | |
dc.date.accessioned | 2023-05-10T11:27:09Z | |
dc.date.available | 2023-05-10T11:27:09Z | |
dc.date.issued | 2021 | |
dc.identifier.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. | ca_CA |
dc.identifier.uri | http://hdl.handle.net/10234/202450 | |
dc.description.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 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. | ca_CA |
dc.format.extent | 25 p. | ca_CA |
dc.format.mimetype | application/pdf | ca_CA |
dc.language.iso | eng | ca_CA |
dc.publisher | American Mathematical Society | ca_CA |
dc.relation.isPartOf | Mathematics of Computation, 2022, vol. 91, no 336. | ca_CA |
dc.rights.uri | http://rightsstatements.org/vocab/InC/1.0/ | ca_CA |
dc.subject | Composition methods | ca_CA |
dc.subject | complex coefficients | ca_CA |
dc.subject | time-symmetry | ca_CA |
dc.subject | symplectic integrators | ca_CA |
dc.subject | complex coefficients | ca_CA |
dc.subject | initial value problems | ca_CA |
dc.title | On symmetric-conjugate composition methods in the numerical integration of differential equations | ca_CA |
dc.type | info:eu-repo/semantics/article | ca_CA |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | ca_CA |
dc.relation.publisherVersion | https://www.ams.org/journals/mcom/2022-91-336/S0025-5718-2021-03715-1/ | ca_CA |
dc.type.version | info:eu-repo/semantics/acceptedVersion | ca_CA |
project.funder.name | UK Research & Innovation (UKRI) | ca_CA |
project.funder.name | Engineering & Physical Sciences Research Council (EPSRC) | ca_CA |
project.funder.name | Ministerio de Ciencia e Innovación | ca_CA |
oaire.awardNumber | EP/R014604/1 | ca_CA |
oaire.awardNumber | PID2019-104927GB-C21/AEI/10.13039/501100011033 | ca_CA |
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