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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INVESTIGACIONMetadata
Title
Splitting methods in the numerical integration of non-autonomous dynamical systemsDate
2012Publisher
SpringerISSN
1578-7303; 1579-1505Type
info:eu-repo/semantics/articlePublisher version
http://link.springer.com/article/10.1007/s13398-011-0024-8Version
info:eu-repo/semantics/publishedVersionAbstract
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. [-]
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Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas (Mar. 2012), vol. 106, no. 1, pp 49-66Rights
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