Geodesic
On families of compact fourth- and fifth-order approximations involving the inversion of two-point operators for equations with convective terms
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 50 (2010) no. 5, pp. 894-907 
A. I. Tolstykh. On families of compact fourth- and fifth-order approximations involving the inversion of two-point operators for equations with convective terms. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 50 (2010) no. 5, pp. 894-907. http://geodesic.mathdoc.fr/item/ZVMMF_2010_50_5_a8/
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Voir la notice de l'article provenant de la source Math-Net.Ru

New one-parameter families of compact approximations of the first-order derivatives are presented that use inversion procedures for two-point operators. Properties of these families are investigated, and finite difference schemes based on those families for problems with convective terms written in the form of conservation laws are described. Estimates of the accuracy of numerical solutions to benchmark problems are given.

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