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

We show that our method achieves second-order accuracy in space and first-order in time (third-order for practical settings), only with a small additional computational cost to the original method.

The method achieves second order of accuracy in the L∞ and L2 norm.

In various testcases – including large β-ratios and non-smooth interfaces – the method achieves second order of accuracy in the L∞ and L2 norm.

It is illustrated numerically for Sod's Riemann problem, the two interacting blast waves problem, and a two-dimensional supersonic airfoil flow validation study that the proposed front tracking method achieves second order convergence also in the presence of strong discontinuities and their interactions.

The Levenberg Marquardt training algorithm [ 31] achieves second-order training speed without computing the Hessian matrix.

The method can achieve second-order accurate solutions.

A novelty cell-wise data reconstruction scheme based on least square method is derived to achieve second-order spatial accuracy.

The two Newton Krylov methods differ in their order of accuracy in time; one is strictly first-order accurate, while the other attempts to achieve second-order accuracy by making use of a predictor corrector architecture.

In general these schemes are only first-order accurate in time overall, but locally may achieve second-order time accuracy.

Therefore, we first studied the capability of crickets to achieve second-order conditioning.

The numerical solution employs a high-order Godunov method to achieve third-order accuracy in space and second-order accuracy in time.