On the stability and efficiency of high-order parallel algorithms for 3D wave problems

In this work, we investigate the stability conditions for four new high-order ADI type schemes proposed to solve 3D wave equations with a non-constant sound speed coefficient. This analysis is mainly based on the spectral method, therefore a basic benchmark problem is formulated with a constant soun...

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Bibliographic Details
Published in:	Mathematical modelling and analysis Vol. 30; no. 3; pp. 553 - 570
Main Authors:	Čiegis, Raimondas, Amiranashvili, Shalva
Format:	Journal Article
Language:	English
Published:	Vilnius Vilnius Gediminas Technical University 12.09.2025
Subjects:	3D wave problem Accuracy Acoustics ADI discrete schemes Algorithms Analysis Approximation Boundary conditions Efficiency Energy methods Linear algebra parallel algorithms Spectral methods stability Stability analysis Velocity Wave equations parallel algorithms ADI discrete schemes stability 3D wave problem
ISSN:	1392-6292, 1648-3510
Online Access:	Get full text
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