EMPIRE itself

For all applications that use these codes, please cite the following paper:

PA Browne, S Wilson (2015)

A simple method for integrating a complex model into an ensemble data assimilation system using MPI

http://dx.doi.org/10.1016/j.envsoft.2015.02.003

Use of different methods within EMPIRE

Equivalent weights particle filter

Van Leeuwen (2010)

Nonlinear data assimilation in geosciences: an extremely efficient particle filter

http://doi.wiley.com/10.1002/qj.699

Sequential importance resampling

Gordon, Salmond and Smith (1993)

Novel approach to nonlinear/non-Gaussian Bayesian state estimation

http://dx.doi.org/10.1049/ip-f-2.1993.0015

Localised Ensemble Transform Kalman Filter

Hunt, Kostelich and Szunyogh (2007)

Efficient data assimilation for spatiotemporal chaos: A local ensemble transform Kalman filter

http://dx.doi.org/10.1016/j.physd.2006.11.008

4DEnVar

Liu, Xian and Wang (2008)

An Ensemble-Based Four-Dimensional Variational Data Assimilation Scheme. Part I: Technical Formulation and Preliminary Test

http://dx.doi.org/10.1175/2008MWR2312.1

Use of different external codes within EMPIRE

CG+

Gilbert and Nocedal (1992)

Global Convergence Properties of Conjugate Gradient Methods for Optimization

http://dx.doi.org/10.1137/0802003

Software available here: http://users.iems.northwestern.edu/~nocedal/CG+.html

L-BFGS-B

Byrd, Lu and Nocedal (1995)

A Limited Memory Algorithm for Bound Constrained Optimization

http://dx.doi.org/10.1137/0916069

and/or

Zhu, Byrd and Nocedal (1997)

L-BFGS-B: Algorithm 778: L-BFGS-B, FORTRAN routines for large scale bound constrained optimization

http://dx.doi.org/10.1145/279232.279236

Software available here: http://users.iems.northwestern.edu/~nocedal/lbfgsb.html