Sentence examples for maximum norm of from inspiring English sources

Let be the maximum norm of,  and let   be the cone of all nonnegative functions in.

In the whole of the work, we refer to ∥.∥ as the maximum norm of the functions or matrices.

We proceed with the iteration as long as the maximum norm of two consecutive iteration steps is greater than.

An upper bound of the Hausdorff distance between planar curve and conic section can be expressed by the maximum norm of error function from the conic section to the planar curve (Comput. Aided Geomet. Design, 14 (1997) 135 151).

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.

We develop a family of functionals Ir u), with the property that the maximum norm of the error is bounded by Ir u /Jr, where r is an integer and J is the degree of the polynomial approximation.

We show that the approximation converges optimally in the maximum norm, on each subdomain, making use of a Lipschitz continuous dependence with respect to both the boundary condition and the source term.

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.

We will prove that the method for the numerical solution of the three-point boundary value problem (1.1 - 1.2 1.1 - 1.2rmly convergent of order on specisl piecewise equniformly mesh, in disconvergentmum nofm, independently orderngular perturbation parameter.

Although the difference scheme does not satisfy the discrete maximum principle, the maximum norm stability of the scheme is established.