Sentence examples for scale of the solution from inspiring English sources

"Given the magnitude of the problem, and the scale of the solution required," she said, "I believe it is important that Congress provide national leadership on this issue".

The particle sizes are locally adapted to the length scale of the solution.

That's the scale of the problem; it should also be the scale of the solution.

The global nature of human impacts in the environment and the scale of the solutions required to address the root of the problems has made it impractical for countries to agree on quick action.

The new GMsFEM can be applied to multiscale SPDE starting with a relatively coarse grid, without requiring the coarsest grid to resolve the smallest-scale of the solution.

In order to obtain an optimal scaling of the solution effort multigrid is employed to precondition a GMRES iterative solution of the discretized Laplace problem.

The Variational MultiScale approach for finite elements addresses the inclusion of the effect of fine scales of the solution in the coarse problem.

The method is tested in 1D and 2D scenarios and found to reproduce the coarse scales of the solution to varying degrees of accuracy depending on the cutoff.

Initial results that explore the scaling of the solution methods are presented on up to 4096 processors for problems with up to 64M unknowns on a CrayXT3/4.

However, in many applications, only the largest scales of the solution are of interest and so the question turns to whether it is possible to build effective coarse-scale models of the coefficients in such a manner that the large scales of the solution are left intact.

Linear analysis of the fundamental properties of the scheme with respect to accuracy, robustness and energy conservation are presented together with demonstrations of grid independent iteration count and optimal scaling of the solution effort.