Sentence examples for method shows second-order from inspiring English sources

The hybrid method shows second-order convergence for smooth scatterers.

The method shows third-order convergence and maintains nonlinear tracer correlations to second order.

The method shows first-order convergence for uniform and arclength-based adaptive meshes, and second-order convergence for Hessian-based adaptive meshes.

In numerical experiments the method showed second order convergence, one order higher than predicted by the analysis.

With the standard second-order FEMs and FDMs, the KFBI method shows a second-order convergence rate in accuracy for all of the tested Dirichlet/Neumann BVPs when the anisotropy of the diffusion tensor is not too strong.

Such methods mostly focus on finding gene sets that show first-order relationship with the clinical outcome variable.

The comparison between a spectral element method and a second-order finite element method shows that the spectral element method leads to fewer grid points per wavelength and less computational cost, for the same accuracy.

The truncation error of the method is analyzed, which shows that the method is second-order accurate.

Finally, and most importantly, for the case of the laminar compressible steady flow past an NACA-0012 airfoil, a thorough mesh-refinement study shows that the method is second-order accurate.

Using the method of manufactured solutions, we show that the method is second-order accurate in space and time for both the equilibrium diffusion and streaming limit, and we show that the method is capable of computing radiative shock solutions accurately by comparing our results with semi-analytic solutions.

We show that the method is second-order and first-order accurate with respect to grid and time-step sizes, respectively.