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Time-averaging and exponential integrators for non-homogeneous linear IVPs and BVPs

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Time-averaging and exponential integrators for non-homogeneous linear IVPs and BVPs

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Blanes Zamora, S.; Ponsoda Miralles, E. (2012). Time-averaging and exponential integrators for non-homogeneous linear IVPs and BVPs. Applied Numerical Mathematics. 62(8):875-894. doi:10.1016/j.apnum.2012.02.001

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Título: Time-averaging and exponential integrators for non-homogeneous linear IVPs and BVPs
Autor:
Entidad UPV: Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada
Fecha difusión:
Resumen:
We consider time-averaging methods based on the Magnus series expansion jointly with exponential integrators for the numerical integration of general linear non-homogeneous differential equations. The schemes can be ...[+]
Palabras clave: Exponential integrators , Imbedding formulation , Linear initial and boundary value problem , Matrix Riccati differential equation , Adaptive time step , Linear problems , Non-homogeneous , Nonautonomous , Numerical example , Numerical integrations , Order of accuracy , Series expansion , Time averaging , Time step , Two-point boundary value problem , Boundary conditions , Initial value problems , Linear transformations , Mathematical transformations
Derechos de uso: Reserva de todos los derechos
Fuente:
Applied Numerical Mathematics. (issn: 0168-9274 )
DOI: 10.1016/j.apnum.2012.02.001
Editorial:
Elsevier
Versión del editor: http://dx.doi.org/10.1016/j.apnum.2012.02.001
Agradecimientos:
We would like to thank the referees for their suggestions and comments that helped us to improve the presentation of the work as well as to clarify the main results. The authors acknowledge the support of the Generalitat ...[+]
Tipo: Artículo

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