Sentence examples for the accuracy solution from inspiring English sources

(4.1) to find the solution for the 2D Sobolev equations, the error estimates between the accuracy solution and the fully discrete FVE solutions only have the first-order accuracy in time as follows (see [19]): biglVert u(t_{n} -u_{h}^{n}bigrVert_{n} -u_{h(k+h), quad n=1,2,ldots,N.

Theorem 4.2 Under the hypotheses of Theorem  4.1, we have the following error estimates between the accuracy solution for the traffic flow LWR model and the solutions of the POD-based reduced-order FDEA (17) and (18): | ρ ( x i, t n ) − ρ i ∗ n | = O ( C n λ M + 1, Δ x 2, Δ t 2 ), 1 ≤ i ≤ I, 1 ≤ n ≤ N. (25).

Because of the large amount of possible display configurations and the complexity of the relationships, an accuracy solution procedure cannot be applied.

(3) The FMG method only computes the fourth-order accuracy solution of each discretization system.

The accuracy of solution is verified by comparison with those obtained from literature.

This can lead to highly distorted elements, e.g. sliver elements, reducing the accuracy of solution.

Moreover, a modified solution comparison criterion and an adaptive ranking strategy for DE are introduced to improve the accuracy of solutions.

Their main goals were to assess and measure inherent problem-solution irregularity within a case base to improve using cases especially with respect to the accuracy concerning solutions.

To assess the accuracy of solutions, the results were compared with the exact ones.

The choice of grid spacings is essential to ensuring the accuracy of solutions.

The fine-search strategy was efficient in achieving the accuracy of solutions for a certain heat exchanger network structure.