Sentence examples for using a direct solver from inspiring English sources

The resulting system of linear equations is solved using a direct solver with O(N1.5) complexity for the pre-computation and O(NlogN) complexity for the solve.

We compare and evaluate the computational cost and efficiency of LMFG applied to these two formulations using a direct solver for the preconditioners.

We demonstrate our algorithm by simulating electromagnetic waves scattered by medium-sized obstacles (diameter up to 50 times the incident wavelength) using a direct solver (in a small parallel cluster computing environment).

The ability to use a direct solver is a tremendous advantage for monostatic radar cross section computations, where thousands of linear systems, with one electromagnetic scattering matrix but many right hand sides (induced by many transmitters) must be solved.

The resulting differential equations are solved in the time domain using a direct sparse solver.

As a consequence we constructed a hybrid method, where a certain frequency onwards MUMPS is used as a direct solver for the system with the full matrix P.

The linear difference equations have been solved using a direct method, that is, tri-diagonal solver; whereas nonlinear difference equations have been solved using the Newton-Raphson iteration method.

To impose incompressibility, a projection method is used (Spalart et al. 1991) and a direct solver is used for the resulting Poisson equation.

The values of ϵ are limited by a lower bound of 10−5, and in case of divergence of the iterative solver for (epsilonle10^{-5}) a direct solver is used instead.

Moreover the role of the regularization parameter ε has been investigated; For practical purposes one can choose ε (almost) arbitrarily small and solve the discrete problem with a direct solver or by using the preconditioned conjugate gradient method.

We depict this method in Algorithm 1, in which a direct solver "DSOLVER" is used on the coarsest grid, since the size of the linear system is small.