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2013

Shutyaev, V. P. and Gejadze, Igor (2013) Origin error in estimation of analysis error covariances in variational data assimilation. Russian Journal of Numerical Analysis and Mathematical Modelling, 28 (1). pp. 53-66. ISSN 0927-6467

Gejadze, I. Yu. and Shutyaev, V. and Le Dimet, F.X. (2013) Analysis error covariance versus posterior covariance in variational data assimilation. Quarterly Journal of the Royal Meteorological Society, 139 (676). 1826–1841. ISSN 0035-9009

2012

Shutyaev, V. and Gejadze, I and Copeland, G.J.M and Le Dimet, F.X. (2012) Optimal solution error covariance in highly nonlinear problems of variational data assimilation. Nonlinear Processes in Geophysics, 19 (2). pp. 177-184. ISSN 1023-5809

Gejadze, I. Yu. and Shutyaev, V. (2012) On computation of the design function gradient for the sensor-location problem in variational data assimilation. SIAM Journal on Scientific Computing, 34 (2). B127-B147. ISSN 1064-8275

2011

Gejadze, I.Yu and Copeland, G.J.M and Le Dimet, F.X. and Shutyaev, V. (2011) Computation of the analysis error covariance in variational data assimilation problems with nonlinear dynamics. Journal of Computational Physics, 230 (22). pp. 7923-7943. ISSN 0021-9991

Shutyaev, V. P. and Gejadze, I. Y. (2011) Adjoint to the Hessian derivative and error covariances in variational data assimilation. Russian Journal of Numerical Analysis and Mathematical Modelling, 26 (2). pp. 179-188. ISSN 0927-6467

2010

Gejadze, I.Y. and Le Dimet, F.X. and Shutyaev, V. and (Funder), Scottish Founding Council via GRPE (2010) On optimal solution error covariances in variational data assimilation problems. Journal of Computational Physics, 229 (6). pp. 2159-2178. ISSN 0021-9991

2009

Shutyaev, V.P. and Le Dimet, F.X. and Gejadze, I.Yu., Russian Foundation for Basic Research (Funder), MOISE Project (Funder), Scottish Funding Council via GRPE (Funder) (2009) A posteriori error covariances in variational data assimilation. Russian Journal of Numerical Analysis and Mathematical Modelling, 24 (2). pp. 161-169. ISSN 0927-6467

2008

Gejadze, I.Y. and Le-Dimet, F. and Shutyaev, V. (2008) On analysis error covariances in variational data assimilation. SIAM Journal on Scientific Computing, 30 (4). pp. 1847-1874. ISSN 1064-8275

Elhanafy, H. and Copeland, G.J.M. and Gejadze, I.Y. (2008) Estimation of predictive uncertainties in flood wave propagation in a river channel using adjoint sensitivity analysis. International Journal of Numerical Methods in Fluids, 56 (8). pp. 1201-1207. ISSN 0271-2091

Shutyaev, V. and Le Dimet, F.X. and Gejadze, I.Y. (2008) On optimal solution error covariances in variational data assimilation. Russian Journal of Numerical Analysis and Mathematical Modelling, 23 (2). pp. 197-205. ISSN 0927-6467

2007

Gejadze, I.Y. and Monnier, J. (2007) On a 2D 'zoom' for the 1D shallow water model: coupling and data assimilation. Computer Methods in Applied Mechanics end Engineering, 196 (45-48). pp. 4628-4643. ISSN 0045-7825

Gejadze, I.Y. and Le-Dimet, F. and Shutyaev, V. (2007) On error covariances in variational data assimilation. Russian Journal of Numerical Analysis and Mathematical Modelling, 22 (2). pp. 163-175. ISSN 0927-6467

2006

Gejadze, I. and Shutyaev, V. and Le Dimet, F.X. (2006) On optimal solution error in variational data assimilation: theoretical aspects. Russian Journal of Numerical Analysis and Mathematical Modelling, 21 (2). pp. 139-152. ISSN 0927-6467

Gejadze, I.Y. and Copeland, G.J.M. (2006) Open boundary control for Navier-Stokes equations including the free surface: adjoint sensitivity analysis. Computers and Mathematics with Applications, 52 (8-9). pp. 1243-1268. ISSN 0898-1221

Gejadze, I.Y. and Copeland, G.J.M. and Navon, I.M. (2006) Open boundary control problem for Navier-Stokes equations including a free surface: data assimilation. Computers and Mathematics with Applications, 52 (8-9). pp. 1269-1288. ISSN 0898-1221

2005

Gejadze, I.Y. and Copeland, G.J.M. (2005) Adjoint sensitivity analysis for fluid flow with free surface. International Journal of Numerical Methods in Fluids, 47 (8-9). pp. 1027-1034. ISSN 0271-2091