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Assume that the space is equipped with pointwise ordering and normed by the maximum norm, and that the space is equipped with a.e.
is a normed linear space with the maximum norm and partially ordered by the cone. is a normal cone in.
where ∥·∥ ∞ is the maximum norm.
Uniform convergence is proved in the discrete maximum norm.
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.
The global convergence order in maximum norm is O τ2−α + h2).
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.
Uniform first order error estimates in the discrete maximum norm have been established.
The error of the scheme is measured in the discrete maximum norm.
We list the computational errors and temporal convergence orders in the maximum norm in Table 3.
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CEO of Professional Science Editing for Scientists @ prosciediting.com