Abstract
The generalized variational data assimilation for non-differential dynamical systems is studied. There is no tangent linear model for non-differential systems and thus the general adjoint model can not be derived in the traditional way. The weak form of the original system was introduced, and then the generalized adjoint model was derived. The generalized variational data assimilation methods were developed for non-differential low dimensional system and non-differential high dimensional system with global and local observations. Furthermore, ideas in inverse problems are introduced to 4DVAR (Four-dimensional variational) of non-differential partial differential system with local observations.
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Communicated by Dai Shi-qiang
Foundation item: the National Natural Science Foundation of China (40075014, 40175014)
Biography: Huang Si-xun (1946∼)
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Si-xun, H., Hau-dong, D. & Wei, H. Generalized variational data assimilation method and numerical experiment for non-differential system. Appl Math Mech 25, 1160–1165 (2004). https://doi.org/10.1007/BF02439868
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DOI: https://doi.org/10.1007/BF02439868