Geodesic
The compound explicit schemes
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 3 (2000) no. 2, pp. 165-180.

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In the paper, a new approach to the design of the explicit schemes for the solution to the boundary value parabolic problems is proposed. Its basis is a block presentation of grid operator with essentially different spectral properties of the blocks. It has been shown that for corresponding choice of integration steps a stability is provided by independent conditions for every block. With the help of the Chebyshev type schemes the method to relax one of conditions is suggested. 
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Yu. M. Laevsky; P. V. Banushkina. The compound explicit schemes. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 3 (2000) no. 2, pp. 165-180. http://geodesic.mathdoc.fr/item/SJVM_2000_3_2_a7/

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