Sentence examples for approaches we solved from inspiring English sources

To validate the usefulness of the developed approaches, we solved some benchmark topology optimization problems and found that the present method provides physically appropriate layouts with stable optimization convergence.

Different from existing approaches, we solve this problem in a distributed way.

To demonstrate the efficiency and robustness of this approach, we solve blow-up problems in a 3D chemostat domain.

To demonstrate the benefits of the suggested collaborative problem solving approach, we solve the diagnostic problem of a stirred-tank reactor system with recycle.

In the first approach we solve the governing equations numerically as a second-order system (SOS) using a conservative finite-difference approximation.

Second, using a combinatorial approach, we solve the problem of sensor placement that maximizes the localization of pipe failures by selecting $m$ sensors out of which at most $e$ give incorrect outputs.

To demonstrate the approach, we solve for all ground states for a binary alloy in a 2D hexagonal lattice both with and without an interface, based on pairwise interactions.

Following the standard approach for estimating the above problem via the finite difference approach, we solve the mathematical formulation given in Eq. (16) by imposing a uniform grid on the (t,y) domain.

If other businesses follow suit or take their own novel approaches, we can solve the education and talent gap.

To test the optimality of the solutions obtained by our approach, we also solved the maximizing reliability problem using two competing methods, the GA and classical BPSO algorithm.

To properly test the proposed approach, we start solving a series of severe one-dimensional tests.