On the convergence of difference schemes for the equations of ocean dynamics
Journal Article
·
· Sbornik. Mathematics
The difference scheme which approximates the equations of large-scale ocean dynamics in a unit cube to the second degree in the space variables is investigated. It is shown that the solutions converge to the solution of the differential problem. Namely, under the assumption that the solution is sufficiently smooth it is proved that (max)/0{<=}m{<=}M||u(m{tau})-v{sup m}||=O({tau}+h{sup 3/2}), M{tau}=T, where ||{center_dot}|| is the grid L{sub 2}-norm with respect to the space variables, v is the solution of the grid problem, and u is the solution of the differential problem. Bibliography: 7 titles.
- OSTI ID:
- 22094063
- Journal Information:
- Sbornik. Mathematics, Vol. 203, Issue 8; Other Information: Country of input: International Atomic Energy Agency (IAEA); ISSN 1064-5616
- Country of Publication:
- United States
- Language:
- English
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