Sentence examples for maximum norm accuracy from inspiring English sources

We show that the proposed scheme is uniformly convergent in the discrete maximum norm accuracy of (O(N^{-1})) on Bakhvalov meshes.

From the derivation of the new method, we expect fully second-order accuracy for the velocity and nearly second-order accuracy for the pressure in the maximum norm including those grid points near or on the interface.

We will measure the accuracy of the proposed scheme using the maximum norm errors defined by e^{n}_{epsilon}=bigl| v^{n}-u^{n}bigr| _{infty}.

We prove that the scheme is maximum-norm stable and has accuracy (O( ( N^{-1}ln N ) ^{4})) in the discrete maximum norm, independent of perturbation parameter.

We have shown that the scheme has accuracy (O( { ( N^{-1}ln N ) ^{4}})) in the discrete maximum norm, independently of perturbation parameter.

Refinement in spatial and angular discretization was investigated and the calculation accuracy is studied via the difference of the multiplication factor from reference value and via the root-mean-square and maximum norm of the error in the pin power.

The global convergence order in maximum norm is O τ2−α + h2).

An a posteriori error estimation in the maximum norm is derived.

Even in the maximum norm, the pressure gradient appears to converge to the initial pressure gradient.

Using a Lipschitz stable interpolation and a semi-Lagrangian scheme, our method is stable under both the maximum norm and the Lipschitz semi-norm.

The numerically produced velocity and pressure fields appear to converge to the corresponding (transient) analytical solutions in the maximum norm.