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2009, 2009(Special): 394-403. doi: 10.3934/proc.2009.2009.394

## Analysis of an operator splitting method in 4D-Var

 1 Institute for Mathematics and its Applications, University of Minnesota, 114 Lind Hall, 207 Church Street S.E., Minneapolis, MN 55455-0134, United States 2 Departments of Mathematics, University of Wyoming, 1000 E., University Avenue, Laramie, WY 82071, United States

Received  July 2008 Revised  July 2009 Published  September 2009

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.
Citation: Lijian Jiang, Craig C. Douglas. Analysis of an operator splitting method in 4D-Var. Conference Publications, 2009, 2009 (Special) : 394-403. doi: 10.3934/proc.2009.2009.394
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