On the Strong Monotonicity of the Two-Time-Level CABARET Scheme
- Authors: Ostapenko V.V.1,2
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Affiliations:
- Lavrentyev Institute of Hydrodynamics, Siberian Branch, Russian Academy of Sciences
- Novosibirsk State University
- Issue: Vol 11, No 1 (2019)
- Pages: 1-8
- Section: Article
- URL: https://journals.rcsi.science/2070-0482/article/view/202851
- DOI: https://doi.org/10.1134/S2070048219010137
- ID: 202851
Cite item
Abstract
The concept of the strong monotonicity of the two-time-level CABARET scheme is introduced. It suggests that the difference scheme does not increase the number of the generalized local extrema in the difference solution when passing from one time level to another. The special modification of the two-time-level CABARET scheme having a strong monotonicity property is proposed. The test calculations are presented that illustrate this property of the modified CABARET scheme.
About the authors
V. V. Ostapenko
Lavrentyev Institute of Hydrodynamics, Siberian Branch, Russian Academy of Sciences ; Novosibirsk State University
Author for correspondence.
Email: ostapenko_vv@ngs.ru
Russian Federation, Novosibirsk, 630090; Novosibirsk, 630090
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