Sentence examples for essential convergence from inspiring English sources

As our approach depends mainly on constructing an analytical solution of the time-fractional differential equation under consideration, we first present, in a similar fashion to the classical power series, some essential convergence theorems pertaining to our proposed solution.

Requires large no. of iteration and initial guess is essential for convergence of the solution of problem.

The method is especially suitable to be implemented in gradient-based routines for solving reliability-based design optimization problems where accuracy of the parameter sensitivity is essential for convergence to an optimal solution.

This approach is feasible because posets have essential statistical convergence properties such as assuring that a subject's state is identified accurately with sufficient measurement, even in the presence of measures that are associated with multiple functions.

According to a survey published last year by IBM, a computer giant, and the Economist Intelligence Unit, a sister company of this newspaper, 80% of telecoms executives surveyed agreed that it was essential to embrace convergence within the next three years as a source of long-term revenue growth.

This smoother is essential to obtain convergence in complex, highly anisotropic, heterogeneous domains.

The last condition is technical but not essential for the convergence analysis.

As is common for many optimization algorithms, the selection of parameters is essential to the convergence speed.

Phase boundaries are sensitive to numerical dissipation effects, so the above property is essential to ensure convergence toward the correct entropy weak solution.

When the pre-stresses are high and the topology of the net is involved, an accurate initializing solution is essential for the convergence of the successive numeric non linear structural analysis (performed by Newton method).

It appears that the use of a very good initial guess was essential for the convergence of the Marquardt method formulated in Jagannadha Rao et al. (1993) and hence for solving this particular inverse problem.