Premium
Approximate iterative methods for variational data assimilation
Author(s) -
Lawless A. S.,
Gratton S.,
Nichols N. K.
Publication year - 2004
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.851
Subject(s) - data assimilation , gauss , mathematics , newton's method , mathematical optimization , gauss–seidel method , iterative method , approximations of π , nonlinear system , physics , quantum mechanics , meteorology
The problem of four‐dimensional variational data assimilation can be considered as a non‐linear least squares problem. A common method for solving it is equivalent to a Gauss–Newton method. However, approximations must be made in order to solve the problem efficiently. In this paper we examine two approximations to the Gauss–Newton method and their effect on the data assimilation problem. Copyright © 2004 John Wiley & Sons, Ltd.