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Splitting methods in the numerical integration of non-autonomous dynamical systems

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Splitting methods in the numerical integration of non-autonomous dynamical systems

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Blanes Zamora, S.; Casas Perez, F.; Murua, A. (2012). Splitting methods in the numerical integration of non-autonomous dynamical systems. Revista de la Real Academia de Ciencias Exactas Físicas y Naturales Serie A Matemáticas. 106(1):49-66. https://doi.org/10.1007/s13398-011-0024-8

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Título: Splitting methods in the numerical integration of non-autonomous dynamical systems
Autor: Blanes Zamora, Sergio Casas Perez, Fernando Murua, Ander
Entidad UPV: Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada
Fecha difusión:
Resumen:
[EN] We present a procedure leading to efficient splitting schemes for the time integration of explicitly time dependent partitioned linear differential equations arising when certain partial differential equations are ...[+]
Palabras clave: Splitting methods , Time-dependent problems , Geometric integrators
Derechos de uso: Reserva de todos los derechos
Fuente:
Revista de la Real Academia de Ciencias Exactas Físicas y Naturales Serie A Matemáticas. (issn: 1578-7303 )
DOI: 10.1007/s13398-011-0024-8
Editorial:
Springer-Verlag
Versión del editor: http://doi.org/10.1007/s13398-011-0024-8
Código del Proyecto:
info:eu-repo/grantAgreement/Generalitat Valenciana//GV%2F2009%2F032/ES/Desarrollo de integradores geométricos adaptados a ecuaciones diferenciales con diferentes escalas de tiempo/
info:eu-repo/grantAgreement/MEC//MTM2007-61572/ES/ALGORITMOS DE INTEGRACION GEOMETRICA. TEORIA Y APLICACIONES/
Agradecimientos:
This work has been supported by Ministerio de Ciencia e Innovacion (Spain) under project MTM2007-61572(co-financed by the ERDF of the European Union). SB also acknowledges financial support from Generalitat Valenciana ...[+]
Tipo: Artículo

References

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Blanes S., Casas F., Murua A.: Splitting methods for non-autonomous linear systems. Int. J. Comput. Math. 84, 713–727 (2007) [+]
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Blanes S., Casas F., Murua A.: Symplectic splitting operator methods tailored for the time-dependent Schrödinger equation. J. Chem. Phys. 124, 234105 (2006)

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