Numerical integrators based on the Magnus expansion for nonlinear dynamical systems
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comunitat-uji-handle2:10234/173364
comunitat-uji-handle3:10234/173369
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Title
Numerical integrators based on the Magnus expansion for nonlinear dynamical systemsDate
2020-03-15Publisher
ElsevierISSN
0096-3003Bibliographic citation
HAJIKETABI, M.; CASAS, F. Numerical integrators based on the Magnus expansion for nonlinear dynamical systems. Applied Mathematics and Computation, 2020, vol. 369, p. 124844.Type
info:eu-repo/semantics/articlePublisher version
https://www.sciencedirect.com/science/article/pii/S0096300319308367Version
info:eu-repo/semantics/submittedVersionSubject
Abstract
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. [-]
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Applied Mathematics and Computation, 2020, vol. 369Investigation project
Ministerio de Economía, Industria y Competitividad (Spain): project MTM2016-77660-P (AEI/FEDER, UE).Rights
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