On one class of the two-level explicit schemes
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 5 (2002) no. 2, pp. 163-173

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The paper deals with a new class of explicit schemes for a solution to parabolic problems describing multiscale processes. The method is based on a compound scheme of the first order of accuracy and predictorcorrector explicit scheme of the second order. The stability theorems are proven, and a numerical example is considered.
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     author = {A. A. Zotkevich and Yu. M. Laevsky},
     title = {On one class of the two-level explicit schemes},
     journal = {Sibirskij \v{z}urnal vy\v{c}islitelʹnoj matematiki},
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A. A. Zotkevich; Yu. M. Laevsky. On one class of the two-level explicit schemes. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 5 (2002) no. 2, pp. 163-173. http://geodesic.mathdoc.fr/item/SJVM_2002_5_2_a5/