Analysis of an operator splitting method in 4D-Var
Lijian Jiang - Institute for Mathematics and its Applications, University of Minnesota, 114 Lind Hall, 207 Church Street S.E., Minneapolis, MN 55455-0134, United States (email)
Abstract: In this paper, we present a framework of 4D variational data assimilation (4D-Var) in Hilbert spaces and discuss Marchuk-Strang operator splitting methods for 4D-Var. Convergence analysis of the operator splitting methods is made.
Keywords: Operator splitting method, functional differential equation, 4D-Var
Received: July 2008; Revised: July 2009; Published: September 2009.