Geodesic
A parallel computational scheme with ninth-order multioperator approximations and its application to direct numerical simulation
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 46 (2006) no. 8, pp. 1433-1452

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The properties of ninth-order multioperator compact schemes based on known third-and fifth-order compact approximations are examined. The domains where the multioperators have fixed signs are determined numerically. The numerical results are compared with the exact solution to the Burgers equation. The multioperator schemes are applied to the problem of vortex sheet roll-up. 
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     author = {M. V. Lipavskii and A. I. Tolstykh and E. N. Chiger\"ev},
     title = {A~parallel computational scheme with ninth-order multioperator approximations and its application to direct numerical simulation},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
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     publisher = {mathdoc},
     volume = {46},
     number = {8},
     year = {2006},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2006_46_8_a7/}
}
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M. V. Lipavskii; A. I. Tolstykh; E. N. Chigerëv. A parallel computational scheme with ninth-order multioperator approximations and its application to direct numerical simulation. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 46 (2006) no. 8, pp. 1433-1452. http://geodesic.mathdoc.fr/item/ZVMMF_2006_46_8_a7/