Sentence examples for method were numerically from inspiring English sources

A Newton-Raphson method was employed to estimate iteratively the current distribution at the well casing, and then the integral equations of the boundary element method were numerically solved by a collocation technique.

The method is numerically compared with the numerical integration technique.

Through several numerical experimental results, we have demonstrated that the proposed method is numerically more efficient, compared to several existing implicit methods.

The effectiveness of the proposed method is numerically investigated.

The proposed method is numerically illustrated for the solutions of different higher order boundary value problems.

The proposed method is numerically validated for a vehicle under realistic driving conditions.

The proposed method is numerically more efficient and scales very well to the high dimensional problems.

The stability of the method is proved and the performance of the method is numerically illustrated.

The supraconvergence of the method is numerically showed and the treatment of boundary conditions is discussed.

The test cases presented in this paper demonstrate that the coupling method is numerically robust and with sufficient accuracy.

The new method is numerically examined with comprehensive comparisons with the standard XFEM and the corrected XFEM (Fries (2008)).