Numerical integrators based on the Magnus expansion for nonlinear dynamical systems
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Título
Numerical integrators based on the Magnus expansion for nonlinear dynamical systemsFecha de publicación
2020-03-15Editor
ElsevierISSN
0096-3003Cita bibliográfica
HAJIKETABI, M.; CASAS, F. Numerical integrators based on the Magnus expansion for nonlinear dynamical systems. Applied Mathematics and Computation, 2020, vol. 369, p. 124844.Tipo de documento
info:eu-repo/semantics/articleVersión de la editorial
https://www.sciencedirect.com/science/article/pii/S0096300319308367Versión
info:eu-repo/semantics/submittedVersionPalabras clave / Materias
Resumen
Explicit numerical integration algorithms up to order four based on the Magnus expansion for nonlinear non-autonomous ordinary differential equations are presented and tested on problems possessing qualitative (very ... [+]
Explicit numerical integration algorithms up to order four based on the Magnus expansion for nonlinear non-autonomous ordinary differential equations are presented and tested on problems possessing qualitative (very often, geometric) features that is convenient to preserve under numerical discretization. The range of applications covers augmented dynamical systems, highly oscillatory problems and nonlinear non-autonomous partial differential equations of evolution previously discretized in space. [-]
Publicado en
Applied Mathematics and Computation, 2020, vol. 369Proyecto de investigación
Ministerio de Economía, Industria y Competitividad (Spain): project MTM2016-77660-P (AEI/FEDER, UE).Derechos de acceso
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