Numerical Analysis of Stochastic Schemes in Geophysics
- 1 January 2005
- journal article
- Published by Society for Industrial & Applied Mathematics (SIAM) in SIAM Journal on Numerical Analysis
- Vol. 42 (6) , 2257-2276
- https://doi.org/10.1137/s0036142902418333
Abstract
We present and study the stability, convergence, and order of convergence of a numerical scheme used in geophysics, namely, the stochastic version of a deterministic "implicit leapfrog" scheme which has been developed for the approximation of the so-called barotropic vorticity model. Two other schemes which might be useful in the context of geophysical applications are also introduced and discussed.Keywords
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