Geodesic
Solving the multicomponent diffusion problems by parallel matrix sweep algorithm
Matematičeskoe modelirovanie, Tome 17 (2005) no. 9, pp. 85-92.

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The parallel matrix sweep algorithm for solving the system of equations with block-diagonal matrices is proposed and realized on the Multiprocessor Computing System MVS-1000. This algorithm is implemented for solving the testing problem of multicomponent diffusion saturation of a plate. The numerical experiments on the investigation of efficiency and speed up coefficients of the parallel algorithm are carried out. 
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E. N. Akimova; I. I. Gorbachev; V. V. Popov. Solving the multicomponent diffusion problems by parallel matrix sweep algorithm. Matematičeskoe modelirovanie, Tome 17 (2005) no. 9, pp. 85-92. http://geodesic.mathdoc.fr/item/MM_2005_17_9_a7/

[1] Crank J., The Mathematics of Diffusion, Clarendon press, Oxford, 1975, 406 pp. | MR

[2] Shatinskii V. F., Nesterenko A. N., Zaschitnye diffuzionnye pokrytiya, Nauk. dumka, Kiev, 1988, 272 pp. | MR

[3] Samarskii A. A., Teoriya raznostnykh skhem, Nauka, M., 1983, 616 pp. | MR

[4] Popov V. V., Modelirovanie prevraschenii karbonitridov pri termicheskoi obrabotke stalei, UrO RAN, Ekaterinburg, 2003, 378 pp. | MR

[5] Samarskii A. A., Nikolaev E. S., Metody resheniya setochnykh uravnenii, Nauka, M., 1978, 356 pp. | MR

[6] Akimova E. N., “Rasparallelivanie algoritma matrichnoi progonki”, Matematicheskoe modelirovanie, 6:9 (1994), 61–67 | MR | Zbl

[7] MPI: The Message Passing Interface, http://www.parallel.ru | MR

[8] Bokshtein B. S., Diffuziya v metallakh, Metallurgiya, M., 1978, 276 pp. | MR