Sentence examples for methods with higher order from inspiring English sources

In this paper, we further develop such methods with higher order accuracy.

Methods with higher order are the only way to improve the accuracy beyond a certain point.

We show how the technique can be used to formulate both global and multi-stage methods with high order of accuracy for both stiff and non-stiff problems.

On the one hand the non-conservative semi-Lagrangian methods with high order reconstructions are particularly efficient and accurate in linear phase of simulations before the appearance of small structures.

Generally, the DG methods for equations with higher order derivatives must transform the equations into a first order system in order to avoid the so-called "non-conforming problem".

Recent studies [5, 6, 8] have shown that mapping random variables into a suitable reproducing kernel Hilbert space (RKHS) gives a powerful and straightforward method of dealing with higher order statistics of the variables.

This paper aims to propose an AMR method with high order accuracy for numerical investigation of multi-dimensional detonation.

In order to develop an AMR method with high order accuracy, high order prolongations in both space and time are utilized in the data prolongation procedure.

There exists a stumbling block for the usual approaches using high order moment methods resolved with high order finite volume methods: the transport algorithm does not preserve the moment space.

The method of finite volumes with higher order accurate shock capturing schemes provides the most accurate solution for propagation of flood wave over initially dry surfaces and for flows with discontinuities [5].

Our code design is based on the design method for UEP-LDPC codes with higher order modulations suggested in [2], which employs iterative LP, and the rate-compatible code structure suggested in [3].