Sentence examples for by solving the reduced from inspiring English sources

Post-secondary buckling equilibrium branches are obtained by solving the reduced low-dimensional parametric equations and their stability properties are determined directly by checking the eigenvalues of the resulting Jacobian matrix.

By solving the reduced equations, the group invariant solutions to the DSWS can be obtained.

We have also obtained the result by assuming a constant hazard rate, which is obtained by solving the reduced PDE, with a 100 grid points in r and 600 time steps over 5 years.

In this work, we complete those results by including VI and TVI to solve the reduced MDP.

For the nanobrush structure, it is hard to calculate the impedance and transverse permeabilities by solving simultaneously the reduced Maxwell equation and Landau-Lifshitz equation for the motion of the magnetization vector.

Specifically, iterative methods compute reconstructions by solving the linear system iteratively, reducing the projection error in some vector norm in each iteration.

The fused image is recovered from the reduced samples by solving the optimization.

Therefore, the problem is reduced by solving the coupled equation system (1) and (3) with the following constraints: (5) (6)and Eqs.

In step one, the pressure field is obtained directly by solving the sub-problems with a reduced scale of displacement variables.

Moreover, the computational cost is reduced by solving the complete set of governing equations on the primal grid while only solving the magnetic induction equation on the polygonal dual mesh.

When using a large transducers database, computational efforts may be reduced by solving the relaxed non-integer problem by means of sequential quadratic programming and then probing the ceilings and floors of the parameters to get an optimum approximation with low costs.