Splitting methods in the numerical integration of non-autonomous dynamical systems
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comunitat-uji-handle2:10234/7037
comunitat-uji-handle3:10234/8635
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Título
Splitting methods in the numerical integration of non-autonomous dynamical systemsFecha de publicación
2012Editor
SpringerISSN
1578-7303; 1579-1505Tipo de documento
info:eu-repo/semantics/articleVersión de la editorial
http://link.springer.com/article/10.1007/s13398-011-0024-8Versión
info:eu-repo/semantics/publishedVersionPalabras clave / Materias
Resumen
We present a procedure leading to efficient splitting schemes for the time integration of explicitly time dependent partitioned linear differential equa- tions arising when certain partial differential equations are ... [+]
We present a procedure leading to efficient splitting schemes for the time integration of explicitly time dependent partitioned linear differential equa- tions arising when certain partial differential equations are previously discretized in space. In the first stage we analyze the order conditions of the corresponding autonomous problem and construct new 6th-order methods. In the second stage, by following a procedure previously designed by the authors, we generalize the methods to the time dependent case in such a way that no order reduction is present. The resulting schemes compare favorably with other integrators previ- ously available. [-]
Publicado en
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas (Mar. 2012), vol. 106, no. 1, pp 49-66Derechos de acceso
© Real Academia de Ciencias
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info:eu-repo/semantics/openAccess
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