Geodesic
Two-level schemes of higher approximation order for time-dependent problems with skew-symmetric operators
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 51 (2011) no. 6, pp. 1121-1132
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Using a model periodic problem for the one-dimensional transport equation as an example, the construction of finite difference time approximations is considered. The emphasis is on the quality criteria of finite difference schemes in what concerns the inheritance of the basic properties of the differential problem, which are related to the transfer of spectral characteristics. Schemes of higher order accuracy based on Padé are analyzed. 
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P. N. Vabishchevich. Two-level schemes of higher approximation order for time-dependent problems with skew-symmetric operators. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 51 (2011) no. 6, pp. 1121-1132. http://geodesic.mathdoc.fr/item/ZVMMF_2011_51_6_a11/

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