Tangents, adjoints and computational complexity in terrestrial carbon modelling
The ANZIAM Journal | Published : 2010
Differentiation enters modelling through initialisation, calibration, sensitivity analysis and data assimilation. Automatic differentiation provides tools for augmenting models to calculate the derivatives. Ad- joint transformations lead to computational gains in such analyses. The calculation of tangent models by operator overloading provides a reference case against which to assess such gains. This article uses a vector space representation to analyse how special localisation charac- teristics of the land surface within the earth system might change the computational complexity of calculating derivatives. © Austral. Mathematical Soc. 2011.