Sentence examples for state of the art numerical methods from inspiring English sources

Furthermore, scheduling problems are most naturally formulated as constraint satisfaction or mathematical optimization problems, but these are seldom implemented using state of the art numerical methods, nor do they explicitly take into account the fact that the scheduling problem itself takes time to solve.

We demonstrated that a combination of state of the art numerical methods, the utilization of modern hardware, and a hardware optimized implementation allows to solve this large-scale nonlinear inverse problem within a few seconds on standard desktop PCs, without compromising accuracy.

Computing approximations to solutions of such problems presents severe challenges, even to state-of-the-art numerical methods.

It is possible to mitigate against these issues using a combination of field measurements and state-of-the-art numerical methods, known as a hybrid model.

This paper first reviews the current state-of-the-art numerical methods for such models and observes that the nonlinear fitting term is mostly 'avoided' in developing fast multigrid methods.

The numerical results presented in the paper are not superior to many existing state-of-the-art numerical methods for conservation laws such as ENO, MUSCL or central scheme of Tadmor and coworkers.

We employ the sharp interface description and perform simulations in two dimensions using boundary integral methods combined with state-of-the-art numerical methods such as the fast multipole method.

The described problems and results demonstrate many challenges in the transfer of state-of-the-art numerical methods into the industrial practice, and show that there is mutual benefit from such a cooperation between industry and academia.

It also integrates several state-of-the-art numerical methods, such as differential expression analysis, gene set enrichment or biclustering.

The stress-strain state of the concrete- steel tower structure has been analyzed applying the state-of-the-art numerical analysis and computer simulation methods.

State-of-the-art numerical algorithms are applied to solve several example problems.