Generalized extrapolation methods based on compositions of a basic 2nd-order scheme
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Títol
Generalized extrapolation methods based on compositions of a basic 2nd-order schemeData de publicació
2024-07-15Editor
Elsevier Inc.ISSN
0096-3003Cita bibliogràfica
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.Tipus de document
info:eu-repo/semantics/articleVersió de l'editorial
https://www.sciencedirect.com/science/article/pii/S0096300324001358Versió
info:eu-repo/semantics/publishedVersionParaules clau / Matèries
Resum
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 ... [+]
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. [-]
Publicat a
Applied Mathematics and Computation, Volume 473, 2024.Entitat finançadora
Ministerio de Ciencia e Innovación | Generalitat Valenciana
Codi del projecte o subvenció
PID2022-136585NB-C21, MCIN/AEI/10.13039/501100011033/FEDER | CIAICO/2021/180
Drets d'accés
© 2024 The Author(s)
info:eu-repo/semantics/openAccess
info:eu-repo/semantics/openAccess
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