“Bulletin Board”

School of Mathematics - November 2, 2004

Scientific Lecture

Optimal InterpolationMajid AzadiIran Meteorological OrganizationNov. 4, 2004

 Optimal InterpolationMajid AzadiIran Meteorological OrganizationNov. 4, 2004 Abstract: The process of interpolating the meteorological variables from irregular points of observed data into regular grid points is known as objective analysis. One theoretically powerful method described here is the optimal interpolation. The formulation presented here is mainly bases on theoretical considerations and not practical implementation. The purpose is to travel the relationship between optimum interpolation and variational schemes. The method is based on minimizing the analysis error variance. This is done by proper choice of determining the coefficient matrix $W$ in the following formula: $X_a=X_b+Wd$ Where $X_a$ and $X_b$ are analysis and background vectors both on the grid points, $d$ is observational increments and $W$ is weight or gain matrix. In principal it is possible to write the analysis error in terms of background and observation errors. The main difficulty however is that these errors are never known and only some assumption can be made about their statistical properties. Information:
 Date: Thursday, Nov. 4, 2004 at 10:00 Place: Lecture Hall, Niavaran Bldg., Niavaran Sqr., Tehran, Iran