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In this approach, an optimization model is solved repeatedly and the available measurements are used to correct the values and gradients of the predicted outputs in that model.
The dynamics of the chromatographic separation process is modeled as a boundary value problem which is solved, repeatedly within the optimization, using a relatively fast and numerically robust finite difference method.
The above convex optimization problem (25) is solved repeatedly until the preset maximum number of iterations L is achieved.
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In this context large nonlinear generalized eigenvalue problems must be solved repeatedly to calculate the electronic ground state of a solid or molecule.
This high CPU time demand becomes particularly acute during the execution of compositional reservoir simulations as the phase equilibria problem needs to be solved repeatedly for each discretization block and at each iteration of the non-linear solver.
The stability and the robustness of the numerical method was of high priority, since the boundary problem was solved repeatedly throughout the requirements the production planning can be done efficiently, such that all the output of a system can be utilized.
The molecular system is divided into a number of monomer fragments and the ab inito molecular orbital calculations on the monomers are solved repeatedly at the HF level until all monomer densities become self-consistent.
In this stage, we develop a parametric distance model that can be solved repeatedly to generate the various sets of weights for the discrete values of the parameter (theta ), such that (0le theta le theta _{max } ).
The problem is solved by evaluating upper and lower bounds for the optimal value of the difference in the value of the performance criterion repeatedly.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com