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
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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.
@article{ZVMMF_2010_50_5_a8,
author = {A. I. Tolstykh},
title = {On families of compact fourth- and fifth-order approximations involving the inversion of two-point operators for equations with convective terms},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {894--907},
publisher = {mathdoc},
volume = {50},
number = {5},
year = {2010},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2010_50_5_a8/}
}
TY - JOUR AU - A. I. Tolstykh TI - On families of compact fourth- and fifth-order approximations involving the inversion of two-point operators for equations with convective terms JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 2010 SP - 894 EP - 907 VL - 50 IS - 5 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZVMMF_2010_50_5_a8/ LA - ru ID - ZVMMF_2010_50_5_a8 ER -
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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/