%0 Journal Article %T Variational data assimilation: mathematical foundations and one application %A Silva %A Paulo S. D. da %A Morales %A Gud¨¦lia %A Oliveira %A Pr¨ªscila H. G. %J Revista Brasileira de Meteorologia %D 2011 %I Sociedade Brasileira de Meteorologia %R 10.1590/S0102-77862011000300009 %X variational data assimilation and adjoint equation method are presented here as a general methodology designed to improve the quality of computational simulation when are given the dynamics and a set of observation of the system under study. the mathematical foundations the procedures to obtain the adjoint of a given computational program, a fundamental task in order to apply the methodology, are carefully examined. %K variational data assimilation %K adjoint equations %K adjust of trajectories. %U http://www.scielo.br/scielo.php?script=sci_abstract&pid=S0102-77862011000300009&lng=en&nrm=iso&tlng=en