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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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