High order integrators obtained by linear combinations of symmetric-conjugate compositions
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Título
High order integrators obtained by linear combinations of symmetric-conjugate compositionsFecha de publicación
2022-02-01Editor
ElsevierISSN
0096-3003Cita bibliográfica
F. Casas., A. Escorihuela-Tomàs. High order integrators obtained by linear combinations of symmetric-conjugate composition. Appl. Math. Comput., 414 (2022), pp. 126700Tipo de documento
info:eu-repo/semantics/articleVersión de la editorial
https://www.sciencedirect.com/science/article/pii/S0096300321007840Versión
info:eu-repo/semantics/submittedVersionPalabras clave / Materias
Resumen
A new family of methods involving complex coefficients for the numerical integration of differential equations is presented and analyzed. They are constructed as linear combinations of symmetric-conjugate compositions ... [+]
A new family of methods involving complex coefficients for the numerical integration of differential equations is presented and analyzed. They are constructed as linear combinations of symmetric-conjugate compositions obtained from a basic time-symmetric integrator of order (). The new integrators are of order , , and preserve time-symmetry up to order when applied to differential equations with real vector fields. If in addition the system is Hamiltonian and the basic scheme is symplectic, then they also preserve symplecticity up to order . We show that these integrators are well suited for a parallel implementation, thus improving their efficiency. Methods up to order 10 based on a 4th-order integrator are built and tested in comparison with other standard procedures to increase the order of a basic scheme. [-]
Publicado en
Applied Mathematics and Computation, 2022, vol. 414Entidad financiadora
Ministerio de Ciencia e Innovación | Universitat Jaume I
Código del proyecto o subvención
PID2019-104927GB-C21 | UJI-B2019-17 | BES-2017-079697
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Copyright © Elsevier B.V.
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info:eu-repo/semantics/openAccess
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