Geodesic
An implicit multilayer parallel algorithm for multidimensional wave equation
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 25 (2022) no. 3, pp. 241-247

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The numerical algorithm without saturation for wave equation is considered. It is supposed that Laplace's operator has the discrete, valid range, and the corresponding matrix of the discrete operator Laplace has the complete set of eigenvectors. The technique speaks the example of the one-dimensional equation, but during statement is shown that the dimension is insignificant here. 
@article{SJVM_2022_25_3_a1,
     author = {S. D. Algazin},
     title = {An implicit multilayer parallel algorithm for multidimensional wave equation},
     journal = {Sibirskij \v{z}urnal vy\v{c}islitelʹnoj matematiki},
     pages = {241--247},
     publisher = {mathdoc},
     volume = {25},
     number = {3},
     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJVM_2022_25_3_a1/}
}
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S. D. Algazin. An implicit multilayer parallel algorithm for multidimensional wave equation. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 25 (2022) no. 3, pp. 241-247. http://geodesic.mathdoc.fr/item/SJVM_2022_25_3_a1/