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@article{MM_2014_26_1_a6, author = {I. B. Petrov and N. I. Khokhlov}, title = {Modeling of {3D} seismic problems using high-performance computing}, journal = {Matemati\v{c}eskoe modelirovanie}, pages = {83--95}, publisher = {mathdoc}, volume = {26}, number = {1}, year = {2014}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/MM_2014_26_1_a6/} }
I. B. Petrov; N. I. Khokhlov. Modeling of 3D seismic problems using high-performance computing. Matematičeskoe modelirovanie, Tome 26 (2014) no. 1, pp. 83-95. http://geodesic.mathdoc.fr/item/MM_2014_26_1_a6/
[1] Magomedov K. M., Kholodov A. S., Setochno-kharakteristicheskie chislennye metody, Nauka, M., 1988, 288 pp. | MR
[2] Kholodov A. S., Kholodov Ya. A., “O kriteriyakh monotonnosti raznostnykh skhem dlya uravnenii giperbolicheskogo tipa”, Zhurnal vychislitelnoi matematiki i matematicheskoi fiziki, 46:9 (2006), 1560–1588 | MR
[3] Petrov I. B., Tormasov A. G., Kholodov A. S., “O chislennom izuchenii nestatsionarnykh protsessov v deformiruemykh sredakh mnogosloinoi struktury”, Izvestiya AN SSSR. Mekhanika tverdogo tela, 1989, no. 4, 89–95
[4] Kvasov I. E., Pankratov S. A., Petrov I. B., “Chislennoe modelirovanie seismicheskikh otklikov v mnogosloinykh geologicheskikh sredakh setochno-kharakteristicheskim metodom”, Matematicheskoe modelirovanie, 22:9 (2010), 13–21
[5] MPI Forum. Message Passing Interface (MPI) Forum Home Page, 2009 http://www.mpi-forum.org/
[6] Petrov I. B., Kholodov A. S., “Chislennoe issledovanie nekotorykh dinamicheskikh zadach mekhaniki deformiruemogo tverdogo tela setochno-kharakteristicheskim metodom”, Zhurnal vychislitelnoi matematiki i matematicheskoi fiziki, 24:5 (1984), 722–739 | MR | Zbl
[7] Magomedov K. M., Kholodov A. S., “O postroenii raznostnykh skhem dlya uravnenii giperbolicheskogo tipa na osnove kharakteristicheskikh sootnoshenii”, Zhurnal vychislitelnoi matematiki i matematicheskoi fiziki, 9:2 (1969), 373–386 | MR | Zbl
[8] Ami Harten, “High resolution schemes for hyperbolic conservation laws”, J. of Comp. Physics, 135:2 (1997), 260–278 | DOI | MR | Zbl
[9] Petrov I. B., Khokhlov N. I., “Sravnenie TVD limiterov dlya chislennogo resheniya uravnenii dinamiki deformiruemogo tverdogo tela setochno-kharakteristicheskim metodom”, Matematicheskie modeli i zadachi upravleniya, Sb. nauch. tr., MFTI, 2011, 104–111
[10] Roe P. L., “Characteristic-Based Schemes for the Euler Equations”, Annual Review of Fluid Mechanics, 1986, no. 18, 337–365 | DOI | MR | Zbl
[11] Gorshkov A. G., Medvedskii A. L., Rabinskii L. N., Tarlakovskii D. V., Volny v sploshnykh sredakh, Fizmatlit, M., 2004
[12] Brekhovskikh L. M., Goncharov V. V., Vvedenie v mekhaniku sploshnykh sred, Nauka, M., 1982