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In this paper we develop the algorithmic tools needed for inverse modeling of aerosol dynamics. Continuous and discrete adjoints of the aerosol dynamic equation are derived, as well as sensitivity coefficients with respect to the coagulation kernel, the growth rate, and the emission and deposition coefficients. Numerical tests performed in the twin experiment framework for a single component model problem show that the initial distributions and the dynamic parameters can be recovered from time series of observations of particle size distributions.
Acknowledgments
The authors thank the National Science Foundation for supporting this work through the award NSF ITR AP&IM 0205198. The work of A. Sandu was also partially supported by the award NSF CAREER ACI 0093139.
