In this paper we investigate three‐level difference schemes on non‐uniform grids in time. The a priori estimates of stability with respect to the initial data and the right‐hand side are obtained. New schemes of the raised order of approximation for wave equations are constructed and investigated.
Trisluoksnių baigtinių skirtumų schemų stabilumas dešiniosios pusės atžvilgiu
Santrauka. Straipsnyje nagrinėjamos trisluoksnės baigtinių skirtumų schemos su netolygiu laikinu žingsniu. Gauti aprioriniai stabilumo įverčiai pradinių duomenų ir dešiniosios pusės atžvilgiu. Pasiūlytos naujos aukštesnės aproksimacijos eilės baigtinių skirtumų schemos vienmatei bangos lygčiai. Pateikti skaitinio eksperimento rezultatai.
Zyuzina, E. L. (2004). Stability of three‐level difference schemes with respect to the right‐hand side. Mathematical Modelling and Analysis, 9(3), 243-252. https://doi.org/10.3846/13926292.2004.9637257
Authors who publish with this journal agree to the following terms
that this article contains no violation of any existing copyright or other third party right or any material of a libelous, confidential, or otherwise unlawful nature, and that I will indemnify and keep indemnified the Editor and THE PUBLISHER against all claims and expenses (including legal costs and expenses) arising from any breach of this warranty and the other warranties on my behalf in this agreement;
that I have obtained permission for and acknowledged the source of any illustrations, diagrams or other material included in the article of which I am not the copyright owner.
on behalf of any co-authors, I agree to this work being published in the above named journal, Open Access, and licenced under a Creative Commons Licence, 4.0 https://creativecommons.org/licenses/by/4.0/legalcode. This licence allows for the fullest distribution and re-use of the work for the benefit of scholarly information.
For authors that are not copyright owners in the work (for example government employees), please contact VILNIUS TECHto make alternative agreements.
