We computed derivatives of the single-species contaminant concentrations at each node at time step t + 1 to the flow field velocity vectors at time step t on meshes ranging in size from 4 to 32 rectangular box elements, corresponding to 48 to 432 independent variables. We verified the derivatives computed by ADIFOR with central differences. However, ADIFOR-generated derivatives can be computed much faster. The table below shows the complexity of evaluation the model (labelled f(x)) and the speedup that ADIFOR achieves over one-sided divided differences.
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Argonne National Laboratory/Mathematics and Computer Science Division/ firstname.lastname@example.org