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Generalized extrapolation methods based on compositions of a basic 2nd-order scheme
dc.contributor.author | Blanes, Sergio | |
dc.contributor.author | Casas, Fernando | |
dc.contributor.author | Shaw, Luke | |
dc.date.accessioned | 2024-05-24T12:04:34Z | |
dc.date.available | 2024-05-24T12:04:34Z | |
dc.date.issued | 2024-07-15 | |
dc.identifier.citation | S. Blanes, F. Casas, L. Shaw, Generalized extrapolation methods based on compositions of a basic 2nd-order scheme, Applied Mathematics and Computation, Volume 473, 2024, 128663, ISSN 0096-3003, https://doi.org/10.1016/j.amc.2024.128663. | ca_CA |
dc.identifier.issn | 0096-3003 | |
dc.identifier.uri | http://hdl.handle.net/10234/207510 | |
dc.description.abstract | We propose new linear combinations of compositions of a basic second-order scheme with appropriately chosen coefficients to construct higher order numerical integrators for differential equations. They can be considered as a generalization of extrapolation methods and multi-product expansions. A general analysis is provided and new methods up to order 8 are built and tested. The new approach is shown to reduce the latency problem when implemented in a parallel environment and leads to schemes that are significantly more efficient than standard extrapolation when the linear combination is delayed by a number of steps. | ca_CA |
dc.description.sponsorShip | Funding for open access charge: CRUE-Universitat Jaume I | |
dc.format.extent | 15 p. | ca_CA |
dc.format.mimetype | application/pdf | ca_CA |
dc.language.iso | eng | ca_CA |
dc.publisher | Elsevier Inc. | ca_CA |
dc.relation.isPartOf | Applied Mathematics and Computation, Volume 473, 2024. | ca_CA |
dc.rights | © 2024 The Author(s) | ca_CA |
dc.rights.uri | http://creativecommons.org/licenses/by/4.0/ | ca_CA |
dc.subject | Differential equations | ca_CA |
dc.subject | Extrapolation methods | ca_CA |
dc.subject | Generalisation | ca_CA |
dc.subject | High-order | ca_CA |
dc.subject | Linear combinations | ca_CA |
dc.subject | Multi-products | ca_CA |
dc.subject | New approaches | ca_CA |
dc.subject | Numerical integrator | ca_CA |
dc.subject | Product expansion | ca_CA |
dc.subject | Second-order scheme | ca_CA |
dc.title | Generalized extrapolation methods based on compositions of a basic 2nd-order scheme | ca_CA |
dc.type | info:eu-repo/semantics/article | ca_CA |
dc.identifier.doi | 10.1016/j.amc.2024.128663 | |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | ca_CA |
dc.relation.publisherVersion | https://www.sciencedirect.com/science/article/pii/S0096300324001358 | ca_CA |
dc.type.version | info:eu-repo/semantics/publishedVersion | ca_CA |
project.funder.name | Ministerio de Ciencia e Innovación | ca_CA |
project.funder.name | Generalitat Valenciana | ca_CA |
oaire.awardNumber | PID2022-136585NB-C21, MCIN/AEI/10.13039/501100011033/FEDER | ca_CA |
oaire.awardNumber | CIAICO/2021/180 | ca_CA |
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