Abstract
The present-day rapid growth of computer power, in particular, parallel computing systems of ultrahigh performance requires a new approach to the creation of models and solution algorithms for major problems. An algorithm for solving parabolic and elliptic equations is proposed. The capabilities of the method are demonstrated by solving astrophysical problems on high-performance computer systems with massive parallelism.
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Original Russian Text © N. D’Ascenzo, V.I. Saveliev, B.N. Chetverushkin, 2015, published in Zhurnal Vychislitel’noi Matematiki i Matematicheskoi Fiziki, 2015, Vol. 55, No. 8, pp. 1320–1328.
In blessed memory of Professor A.P. Favorskii
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D’Ascenzo, N., Saveliev, V.I. & Chetverushkin, B.N. On an algorithm for solving parabolic and elliptic equations. Comput. Math. and Math. Phys. 55, 1290–1297 (2015). https://doi.org/10.1134/S0965542515080035
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DOI: https://doi.org/10.1134/S0965542515080035