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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

Por favor, use este identificador para citar o enlazar este ítem: http://hdl.handle.net/10251/56205

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Title: Time-averaging and exponential integrators for non-homogeneous linear IVPs and BVPs
Author: Blanes Zamora, Sergio Ponsoda Miralles, Enrique
UPV Unit: Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada
Issued date:
Abstract:
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 ...[+]
Subjects: 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
Copyrigths: Reserva de todos los derechos
Source:
Applied Numerical Mathematics. (issn: 0168-9274 )
DOI: 10.1016/j.apnum.2012.02.001
Publisher:
Elsevier
Publisher version: http://dx.doi.org/10.1016/j.apnum.2012.02.001
Thanks:
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 ...[+]
Type: Artículo

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