Talagrand, Olivier The use of adjoint equations in numerical modeling of the atmospheric circulation. (English) Zbl 0761.76077 Automatic differentiation of algorithms, Proc. 1st SIAM Workshop, Beckenridge/ CO (USA) 1991, 169-180 (1991). Summary: [For the entire collection see Zbl 0747.00030.]The method of adjoint equations, or backward differentiation, seems to be particularly appropriate for solving a number of optimization and sensitivity problems that arise in the general context of numerical modeling of the atmospheric (and also oceanic) circulation. One such problem is assimilation of observations, which is discussed in some detail. A number of rules that have been defined for the practical coding of adjoint models are presented. The problems raised by the development and maintenance of adjoint codes are discussed. Cited in 7 Documents MSC: 76M25 Other numerical methods (fluid mechanics) (MSC2010) 76B60 Atmospheric waves (MSC2010) 86A10 Meteorology and atmospheric physics Keywords:backward differentiation; optimization; sensitivity; assimilation of observations Citations:Zbl 0747.00030 PDFBibTeX XMLCite \textit{O. Talagrand}, in: Automatic differentiation of algorithms. Theory, implementation, and application. Proceedings of the first SIAM workshop, held in Beckenridge, CO, USA, January 6-8, 1991. Philadelphia, PA: SIAM. 169--180 (1991; Zbl 0761.76077)