Sentence examples for maximum principles on from inspiring English sources

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

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.

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.

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

Applying the maximum principle on gives (2.8).

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.

This fact implies that we cannot have maximum or anti-maximum principles on bigger intervals for the solution, something that is widely known and which the following results, together with Example 3.4, illustrate.

2, we will present our results on maximum principles for elliptic Waldenfels operators.

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.