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Symplectic integrators for the matrix Hill equation

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Symplectic integrators for the matrix Hill equation

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Bader, P.; Blanes Zamora, S.; Ponsoda Miralles, E.; Seydaoglu, M. (2017). Symplectic integrators for the matrix Hill equation. Journal of Computational and Applied Mathematics. 316:47-59. https://doi.org/10.1016/j.cam.2016.09.041

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Title: Symplectic integrators for the matrix Hill equation
Author: Bader, Philipp Blanes Zamora, Sergio Ponsoda Miralles, Enrique Seydaoglu, Muaz
UPV Unit: Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada
Issued date:
Abstract:
[EN] We consider the numerical integration of the matrix Hill equation. Parametric resonances can appear and this property is of great interest in many different physical applications. Usually, Hill s equations originate ...[+]
Subjects: Matrix Hill equation , Mathieu equation , Parametric resonance , Symplectic integrators , Magnus expansion
Copyrigths: Cerrado
Source:
Journal of Computational and Applied Mathematics. (issn: 0377-0427 )
DOI: 10.1016/j.cam.2016.09.041
Publisher:
Elsevier
Publisher version: http://doi.org/10.1016/j.cam.2016.09.041
Conference name: 14th Seminar on the Numerical Solution of Differential and Differential-Algebraic Equations (NUMDIFF-14)
Conference place: Halle, Germany
Conference date: Septiembre 07-11,2015
Project ID:
info:eu-repo/grantAgreement/MINECO//MTM2013-46553-C3-3-P/ES/METODOS DE ESCISION Y COMPOSICION EN INTEGRACION NUMERICA GEOMETRICA. TEORIA Y APLICACIONES/
Thanks:
The authors thank the anonymous referees for criticism and comments which helped to clarify the present paper. PB and SB acknowledge the Ministerio de Economia y Competitividad (Spain) for financial support through the ...[+]
Type: Artículo Comunicación en congreso

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