Geodesic
On the use of multioperators in the construction of high-order grid approximations
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 56 (2016) no. 6, pp. 943-957 
A. I. Tolstykh. On the use of multioperators in the construction of high-order grid approximations. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 56 (2016) no. 6, pp. 943-957. http://geodesic.mathdoc.fr/item/ZVMMF_2016_56_6_a2/
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Voir la notice de l'article provenant de la source Math-Net.Ru

Examples of using the multioperator technique in order to increase the order of accuracy of some linear operators are given. Formulas for numerical differentiation, approximation of diffusion terms, recalculation, filtration, and extrapolation of grid functions are considered. A new family of multioperator approximations for convective terms of equations is presented. Multioperators of 16th and 32nd orders are analyzed as an example.

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