Analysis of an operator splitting method in 4D-Var

Lijian Jiang; Craig C. Douglas

doi:10.3934/proc.2009.2009.394

Article Contents

2009, Volume 2009: 394-403. Doi: 10.3934/proc.2009.2009.394 open access

This issue Previous Article Periodic solutions and their stability of a differential-difference equation Next Article Intelligent traffic control on internet-like topologies - integration of graph principles to the classic Runge--Kutta method

Analysis of an operator splitting method in 4D-Var

Lijian Jiang^1, and
Craig C. Douglas^2,

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

Received: July 2008

Revised: July 2009

Published: September 2009

Abstract / Introduction Related Papers Cited by

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:

Mathematics Subject Classification: Primary: 65J15, 65M32; Secondary: 49M05.

Citation:

Article Metrics

HTML views() PDF downloads(59) Cited by(0)

Analysis of an operator splitting method in 4D-Var

Abstract

Access History

Article Metrics

Access History

Other Articles By Authors

Catalog

Analysis of an operator splitting method in 4D-Var

Abstract

Access History

SHARE

Article Metrics

Access History

Other Articles By Authors

Catalog

Export File

Citation

Format

Content