Analysis of a class of quasi-monotone and conservative semi-Lagrangian advection schemes

R Bermejo - Numerische Mathematik, 2001 - Springer
R Bermejo
Numerische Mathematik, 2001Springer
We analyze in the L^∞- norm a class of semi-Lagrangian advective schemes introduced by
the author and A. Staniforth in 1992 to improve the solution produced by numerical models
for weather prediction and climate studies that use semi-Lagrangian advective schemes.
The new quasi-monotone and conservative semi-Lagrangian schemes are L^∞- stable and
converge optimally when the solution is sufficiently smooth.
Summary
We analyze in the norm a class of semi-Lagrangian advective schemes introduced by the author and A. Staniforth in 1992 to improve the solution produced by numerical models for weather prediction and climate studies that use semi-Lagrangian advective schemes. The new quasi-monotone and conservative semi-Lagrangian schemes are stable and converge optimally when the solution is sufficiently smooth.
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