Geodesic
On the multioperator method for constructing approximations and finite difference schemes of an arbitrarily high order
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 51 (2011) no. 1, pp. 56-73

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Main results of the development of the multioperator method for constructing approximations of prescribed order are presented. Multioperators for various approximation problems are considered. The focus is on the multioperators for convective terms in fluid dynamics equations. Types of multioperator schemes are described and possibilities for their optimization are discussed. Results of solving benchmark problems in the case of tenth- and 18th-order schemes are presented. 
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     author = {A. I. Tolstykh},
     title = {On the multioperator method for constructing approximations and finite difference schemes of an arbitrarily high order},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {56--73},
     publisher = {mathdoc},
     volume = {51},
     number = {1},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2011_51_1_a4/}
}
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A. I. Tolstykh. On the multioperator method for constructing approximations and finite difference schemes of an arbitrarily high order. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 51 (2011) no. 1, pp. 56-73. http://geodesic.mathdoc.fr/item/ZVMMF_2011_51_1_a4/