Sentence examples for maximum norm for from inspiring English sources

Let be endowed with maximum norm for, and let be a cone defined by (217).

Then we establish the a priori upper bound and a priori lower bound according to the maximum norm for all nontrivial nonnegative periodic solutions.

We establish optimal uniform estimates in the maximum norm, for solutions of Poisson's equation, with right hand side in Lebesgue spaces, under mixed Dirichlet-oblique derivative boundary conditions, where the oblique vector is required to remain uniformly transverse, and the estimates depend only on the transversality constant, but not on the regularity of the oblique vector.

In the following Lemma we show the equivalence of the Euclidean norm and the maximum norm for the B-spline (NURBS) space.

In this section, we derive a bound on the maximum norm of the optimal parameter vector w* for (4).

Let the maximum norm of a vector x ∈ ℝ n be ∥ x∥∞ := max k | x k |.

We denote (E=C(I)), (I=[0,1]), with the maximum norm, and for all (0

Thus in order to achieve a three-digit accuracy in the maximum-norm, for example, the PDL1P requires 10.47 seconds and the obstacle SOR completes the task in 0.84 seconds; when the obstacle SOR+PP takes only 0.1 second.

We have a critical estimation for the maximum norm which will be used for stability and convergence analysis.

For results on maximum norm error analysis of overlapping nonmatching grids methods for elliptic problems we refer, for example, to [9 14].

For any continuous function, we use for the continuous maximum norm on the corresponding interval.