The phrase "against the solution of" is correct and usable in written English.
It can be used in contexts where you are discussing opposition or disagreement with a particular solution or approach to a problem.
Example: "The committee voted against the solution of increasing the budget for the project."
Alternatives: "in opposition to the solution of" or "contrary to the solution of".
The closed loop performance of such a system is benchmarked against the solution of a related optimal control problem (OCP).
The proposed method is tested against the solution of the true non-linear problem in a principal setting.
Moreover, we develop a tabu search-based local search technique to further improve upon and compare against the solution of the non-optimal algorithms.
We validate our numerical solution against the solution of the depth-averaged equation, which has been used to model intercalation in the limit of highly orthotropic diffusivity and gradient penalty tensors.
Fig. 6 Relative performance of the solution of the MDP formulation against the solution of the LP relaxation with (B^_{1}=gamma B_{1}).
To solve these problems, we propose heuristic dispatching rules whose solutions are benchmarked against the solutions of a mixed integer programming formulation.
The accuracy of the method was verified by benchmark comparisons against the solutions of Monte Carlo and YIX methods in the case of three-dimensional inhomogeneous media and in the case of three-dimensional media composed of nongray CO2 gas and carbon particles with strong anisotropically scattering.
Two inexpensive approximations to the solution of the Riemann problem are constructed, and the resulting algorithms are tested against the analytic solution of the Riemann problem for longitudinal motion in an elastic-plastic bar.
In explaining why Russia rejected the resolution, Vitaly Churkin, the nation's ambassador, said, "This approach is against the peaceful solution of the crisis on the basis of a Syrian national dialogue".
Properties of the implemented specialized architecture are examined in terms of speed and accuracy against the numerical solution of the nuclear reactor dynamics equations using MATLAB and C programs.
We verify the model against the analytical solution of a benchmark problem and then apply it to simulate Cl- movement in a tracer experiment conducted on an up-catchment hillslope.
