Sentence examples for using the maximum norm from inspiring English sources

It is not difficult to prove this result by using the maximum norm.

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}.

Different from traditional optimized schemes that use the 2-norm and the least squares, we propose to construct the objective functions using the maximum norm and solve the objective functions using the simulated annealing algorithm.

In our estimates, we use the maximum norm given by ∥ v ∥ ∞ = max [ 0, T ] | v ( t ) |.

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

Notice that "any hyperconvex norm on " means essentially (i.e., up to an isometric isomorphism) the maximum norm; this follows from Theorem 2.6 and can also be proved using a geometric argument (see [19, Theorem  4.1]).

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

where ∥·∥ ∞ is the maximum norm.

∥·∥2, (| cdot |_{infty }) and ∥·∥ F symbolize the Euclidean norm, the Maximum norm and the Frobenius norm, respectively.

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.