Sentence examples for numerical problems which from inspiring English sources

Thus we conclude that the three-step iterative process plays an important and significant role in solving various numerical problems which arise in pure and applied sciences.

It has been found that, for the joints examined in this paper, our formulation is capable of modelling development of damage from bearing failure onset all the way to ultimate catastrophic net-tension failure without numerical problems, which is an advance over previous work.

Real step functions may cause numerical problems which can be avoided in this way.

Suppose we want to solve an expensive numerical problem which involves operations on data arrays.

However, in a phase-field model, concentration variations of many orders of magnitude would lead to a very stiff numerical problem, which is impossible to handle.

A major use of computers in science and engineering is in finding numerical solutions to mathematical problems, which have no analytical solutions.

This work extends the capability of DNA computing to solving numerical optimization problems, which is contrasted with other DNA computing methods focusing on logical problem solving.

The dynamics analysis of the model reveals that the ZnS precipitation shows a two time-scales behaviour with inherent numerical stability problems, which therefore needs special attention during implementation.

Differential evolution (DE) algorithm has been shown to be a very effective and efficient approach for solving global numerical optimization problems, which attracts a great attention of scientific researchers.

Among commonly used methods for the numerical approach of problems which arise in engineering, for example, Laplace equation and Maxwell system, the finite element method is one of the most relied on methods because it is much more interested in the analysis of the error committed between the exact solution and the approximate solution.

We demonstrate the performance of the numerical method on model problems which in particular highlights the relevance of stability of boundary conditions on curved domains.