Sentence examples for for a given error tolerance from inspiring English sources

Studies of the asymptotic behavior show that, for a given error tolerance, the new hybrid algorithm requires much less computer time than the stand-alone particle-mesh method (for this piloted-jet flame test case a factor of 20 times less).

The advantage of Algorithm 2 is that it allows us to quantitate the effect of rescaling and to get the best possible computational performance for a given error tolerance.

We derive an extension of the recurrent hitchhiking model that is appropriate for strong selection in small population sizes and use it to develop a method for parameter rescaling that provides the best possible computational performance for a given error tolerance.

Based on these error estimates, we propose an algorithm for optimally choosing both the dimensions of the reduced basis approximations and the sizes of Monte Carlo samples to achieve a given error tolerance.

Our approach has the advantage of requiring a small pre-computation time even for very large systems, and uses the minimal number of coefficients to represent the far-field, for a given L2 tolerance error in the approximation.

Firstly, for a given tolerance on the error of the evaluation, it needs to investigate fewer planes on average, thereby reducing the execution time compared to state of the art methods.

In the case when the discretisation error dominates, the above defined minimum word-length for a given BS tolerance will result in the converged solution.

for a given tolerance ε>0, the QP iterations will terminate after finitely many iterations.

The QIFFT method is usually more efficient than the equivalent degree of ideal interpolation, for a given level of perceptual error tolerance (specific guidelines are given in §5.6.2 below).

The algorithm we present automatically selects, for each time subinterval, the most efficient splitting scheme (among several new optimized splitting methods) for a prescribed error tolerance and given estimates of the upper and lower bounds of the eigenvalues of the discretized version of the Hamiltonian operator.

The grid size and the number of particles per cell are determined for a 5% error tolerance.