Sentence examples for using the adjoint approach from inspiring English sources

In this work, sensitivity analyses are performed on systems described by flux-limited radiative diffusion using the adjoint approach.

The selected approach, which will be referred to as the direct adjoint one, since it performs direct differentiation for the gradient and, then, uses the adjoint approach to compute the Hessian, requires as many as N+2 equivalent flow solutions for each Newton step.

We recall that Oberai et al. [24] used the adjoint approach to compute efficiently the gradient of the output least-squares functional.

The partial derivatives required by the learning algorithms are derived using the adjoint model approach, adapted to the architecture of the networks being used.

The partial derivatives required for the implementation of the training algorithm are calculated using the adjoint model approach, adapted to the fuzzy network's architecture exercised here.

Both simulators have a built-in functionality of computing sensitivity of data to reservoir parameters using the Adjoint-State approach.

The indirect approach, using the adjoint problems and the maximum principle, is necessary since the convergences occur only in (L^{2} -weak topoL^{2} -weaktopologyuandinotomogenizasion theory, in (L^{2})-strong topology.

We develop a new data assimilation algorithm by employing a heuristic optimization approach named very fast simulated re-annealing (VFSA), which is capable of minimizing the cost function without using the adjoint model.

The optimization problem is analyzed using the adjoint method to obtain the adjoint sensitivity.

The corresponding sensitivity number is derived using the adjoint method.

Sensitivities are evaluated by using the adjoint method.