On stability and error bounds of an explicit in time higher-order vector compact scheme for the multidimensional wave and acoustic wave equations-Reference-Cited by-同舟云学术

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On stability and error bounds of an explicit in time higher-order vector compact scheme for the multidimensional wave and acoustic wave equations

Published:2024-01 Issue: Volume:195 Page:54-74
ISSN:0168-9274
Container-title:Applied Numerical Mathematics
language:en
Short-container-title:Applied Numerical Mathematics

Author:

Zlotnik Alexander^ORCID,Lomonosov Timofey^ORCID

Funder

Russian Science Foundation

Publisher

Elsevier BV

Subject

Applied Mathematics,Computational Mathematics,Numerical Analysis

Reference41 articles.

1. On reflected waves in the solutions of difference problems for the wave equation on non-uniform meshes;Anisimova;Sib. Electron. Math. Rep.,2018

2. Semidiscrete and single step fully discrete approximations for second order hyperbolic equations;Baker;RAIRO. Anal. Numér.,1979

3. Acoustics of Layered Media I. Plane and Quasi-Plane Waves;Brekhovskikh,1990

4. A high order compact time/space finite difference scheme for the wave equation with variable speed of sound;Britt;J. Sci. Comput.,2018

5. Hybrid high-order methods for the acoustic wave equation in the time domain;Burman;Commun. Appl. Math. Comput.,2022

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