Sentence examples for solutions exactly from inspiring English sources

For the error-free case, the predicted results agree with the true solutions exactly.

A well-balanced scheme, which can preserve certain non-trivial steady state solutions exactly, may help minimize some of these difficulties.

Special attention is given to the exact discretization because there exists a difference equation whose solutions exactly coincide with solutions of the corresponding differential equation evaluated at a discrete sequence of points.

The new filter scheme with the well-balanced property will gather the features of both filter methods and well-balanced properties: it can preserve certain steady-state solutions exactly; it is able to capture small perturbations, e.g. turbulence fluctuations; and it adaptively controls numerical dissipation.

The comparative method (this work), a comparison of sample and control solutions exactly at the same conditions, is preferable.

This is the solution, exactly.

Explicit diversity programs have the solution exactly backwards.

In a correct solution, exactly one pigeon (prototype) occupies one pigeon hole (cluster).

In order to search for the global optimal solution exactly, one of the evolutionary algorithms, differential evolution (DE) algorithm is employed based on the constructed Kriging surrogate model.

The method is constructed such that an adjoint solution exactly dual to a direct differentiation approach is recovered at each time step, yielding a convergence rate which is asymptotically equivalent to that of the primal system.

The length factor artificial neural network (ANN) method for solving coupled systems of partial differential equations (DEs) is unique among ANN methods in that the approximate solution exactly satisfies boundary conditions (BCs) on arbitrary geometries regardless of the ANN output.