Odyssée versus Hand Differentiation of a Terrain Modeling Application
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A comparison is made between differentiation alternatives for a terrain modeling problem, a sample application where strong nonlinearities are solved iteratively. Investigated methods include automatic differentiation (AD) with the Odyssée software (forward and reverse modes) and manual differentiation (MD) using the model’s adjoint equations. The comparison mainly focuses on accuracy and computing efficiency, as well as on development effort. While AD ensures perfect consistency between the computer model and its derivative at a low development cost, MD shows significantly lesser computing costs. We discuss the perturbation method as well as hybrid strategies that combine advantages of AD and MD.
KeywordsManual Differentiation Adjoint Method Automatic Differentiation Forward Mode Perturbation Magnitude
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