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JOURNALS // Sibirskii Zhurnal Vychislitel'noi Matematiki // Archive

Sib. Zh. Vychisl. Mat., 2022 Volume 25, Number 3, Pages 241–247 (Mi sjvm808)

An implicit multilayer parallel algorithm for multidimensional wave equation

S. D. Algazin

Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences, Moscow

Abstract: 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.

Key words: wave equation, numerical algorithm without saturation, computing experiment.

UDC: 519.632.4

Received: 08.07.2021
Revised: 26.11.2021
Accepted: 24.04.2022

DOI: 10.15372/SJNM20220302


 English version:
Numerical Analysis and Applications, 2022, 15:3, 197–202


© Steklov Math. Inst. of RAS, 2026