Abstract
In the previous chapter, the linearization and adjoint approaches were applied to analytic models, and the obtained results matched those obtained in Chap. 4 using methods of differential calculus and variational calculus. This provided, albeit not rigorous but hopefully still convincing validation of general formulations of the linearization and adjoint approaches formulated in Chap. 3. In this chapter, the linearization and adjoint approaches of sensitivity analysis will be applied to selected numerical models for which analytic solutions are not available.
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References
Sensitivity analysis of the model of radiances of a scattering planetary atmosphere in thermal spectral region was done in a number of the author’s papers. The analysis in the form presented in this chapter was developed in (Ustinov 2001a) and (Ustinov 2002). The adjoint approach to sensitivity analysis of the zero-dimensional model of atmospheric dynamics was developed in (Ustinov 2001b) and is presented in this book in a slightly modified form. The linearized sensitivity analysis of the model of orbital tracking data of the planetary orbiter spacecraft is published in (Moyer 2000), and application of the adjoint approach to sensitivity analysis of this model was presented in (Ustinov and Sunseri 2005).
Moyer TD (2000) Formulation for observed and computed values of Deep Space Network data types for navigation. JPL Publication 00-7, JPL
Ustinov EA (2001a) Adjoint sensitivity analysis of radiative transfer equation: temperature and gas mixing ratio weighting functions for remote sensing of scattering atmospheres in thermal IR. J Quant Spectrosc Radiat Transf 68:195–211
Ustinov EA (2001b) Adjoint sensitivity analysis of atmospheric dynamics: application to the case of multiple observables. J Atmos Sci 58:3340–3348
Ustinov EA (2002) Adjoint sensitivity analysis of radiative transfer equation: 2. Applications to retrievals of temperature in scattering atmospheres in thermal IR. J Quant Spectrosc Radiat Transf 73:29–20
Ustinov EA, Sunseri RF (2005) Adjoint sensitivity analysis of orbital mechanics: application to computations of observables’ partials with respect to harmonics of the planetary gravity fields. Paper presented at the General Assembly of European Geosciences Union, Vienna, Austria, 24–29 April 2005
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Ustinov, E.A. (2015). Sensitivity Analysis of Numerical Models. In: Sensitivity Analysis in Remote Sensing. SpringerBriefs in Earth Sciences. Springer, Cham. https://doi.org/10.1007/978-3-319-15841-9_6
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DOI: https://doi.org/10.1007/978-3-319-15841-9_6
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