Sentence examples similar to methods and upper from inspiring English sources

By assuming an exponential transverse deformation shape function, a new analytical model is derived based on energy method and upper bound solution.

These classical techniques contain fixed point theory, topological degree theory and comparison method (including monotone iterative method and upper and lower solutions methods).

For most values of the correlation coefficient (i.e,. ≤ 0.90), the lower end of the range corresponds to the logistic method and upper end to the fixed value method.

Based on this algorithm, we found that significant discrepancy exists between the results produced by the existing online smoothing methods and the upper bound.

Then, utilizing the monotone iterative method combined with the method of lower and upper solutions, problem (1.1) is proved to have extremal solutions.

We first establish a weak comparison principle, then discuss the large time behavior of solutions by using modified upper and lower solution methods and constructing various upper and lower solutions.

Several different approaches such as variational methods, bifurcation theory, lower and upper solutions method and quadrature arguments have been successfully applied to show the existence of multiple solutions.

The heat load and the temperature distribution of the magnet is analyzed by a finite element method, and the upper limits of several heat leak sources are calculated.

We also measure the average running time for the proposed method and the upper bound with CVX, measured in MATLAB.

The method of lower and upper solutions and the monotone iterative technique are used.

By (C1 - C3), we may use the method of lower and upper solutions (see [3]).