Compositions of pseudo-symmetric integrators with complex coefficients for 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
Compositions of pseudo-symmetric integrators with complex coefficients for the numerical integration of differential equationsDate
2020-05-29Publisher
ElsevierBibliographic citation
CASAS, Fernando, et al. Compositions of pseudo-symmetric integrators with complex coefficients for the numerical integration of differential equations. Journal of Computational and Applied Mathematics, 2020, p. 113006.Type
info:eu-repo/semantics/articlePublisher version
https://www.sciencedirect.com/science/article/pii/S0377042720302971Version
info:eu-repo/semantics/acceptedVersionAbstract
In this paper, we are concerned with the construction and analysis of a new class of methods obtained as double jump compositions with complex coefficients and projection on the real
axis. It is shown in particular ... [+]
In this paper, we are concerned with the construction and analysis of a new class of methods obtained as double jump compositions with complex coefficients and projection on the real
axis. It is shown in particular that the new integrators are symmetric and symplectic up to high
orders if one uses a symmetric and symplectic basic method. In terms of efficiency, the aforementioned technique requires fewer stages than standard compositions of the same orders and
is thus expected to lead to faster methods. [-]
Investigation project
Ministerio de Economía y Competitividad, Spain (project MTM2016-77660-P (AEI/FEDER, UE).Rights
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- MAT_Articles [765]