Sentence examples for maximum principle on from inspiring English sources

Applying the maximum principle on gives (2.8).

These schemes possess a discrete maximum principle on arbitrary triangulations and exhibit local Lipschitz continuity of the numerical Hamiltonian.

This is highly non-trivial because when the diffusion matrix is singular, the corresponding infinitesimal operator L is a class of non-elliptic operators, which the maximum principle on an elliptic operator fails.

Unlike the Euclidean space case, there is no Poincaré's inequality for the narrow region in ({{mathbb{H}}^{n}}), so we utilize the fact that the volume of the narrow region is small enough to prove the maximum principle on the narrow region.

The polarity calculation is based on modulus maximum principle of wavelet transform.

Øksendal and Sulem [24], Hui and Xiao [25] made a research on the maximum principle of a forward-backward system.

In Section 2, we recall some basic knowledges on the maximum principle of cooperative systems as well as the eigenvalues of cooperative matrices.

A maximum principle of optimal control of SDDEs on infinite horizon was proved in Agram, Haadem and Øksendal [18].

Using Bernstein polynomials as local basis functions, we constrain the total variation of the numerical solution by imposing local discrete maximum principles on the Bézier net.

We present a novel computational framework for diffusive reactive systems that satisfies the non-negative constraint and maximum principles on general computational grids.

Especially, Li [19] considered fully nonlinear elliptic equations on smooth domains, and Berestycki and Nirenberg [20] found a way to deal with general equations with nonsmooth domains using the maximum principles on domains with small measure.