numerical examples

Numerical examples show that the algorithm is of higher precision and efficiency whether limit state equation is nonlinear or not.

In the paper some techniques in computational procedure are also described, and a few numerical examples are given.

Two numerical examples and a practical example of an aero engine disk were presented herein to validate stochastic response surface method.

In the numerical examples, the order variability is dampened by introducing the smoothing parameters to the order-up-to policy.

The numerical examples show that this method has high accurate results and good stability.

Numerical examples show that the accuracy of this method used in the foundation plate problems is satisfactory.

Computer programs have been developed for self-adaptive analysis, and representative numerical examples for various problems were analyzed.

Numerical examples were used to illustrate the feasibility and effectiveness of the method.

Numerical examples show that the present method is of good convergency and accuracy.

The numerical examples in this paper show that the method can be used to analysis large deflection of space trusses.

Finally, the relationship among the arrival process, service time and failure rate of server are illuminated by several numerical examples.

The theoretical result is illustrated with numerical examples of Gaussian beams passing through a spatial filter.

and finally, by matrix theory, the solution is attained. With mathematical software, the solution is applied to numerical examples.

The main influencing factors of the reflection coefficient and the wave force coefficient are analyzed by numerical examples.

The numerical examples demonstrate that the BRICM has merits of good numerical stability, high accurate and ease to program.

As demonstrated with numerical examples, this approach could give comparatively precise results and has good computational stability.

Simulation results and numerical examples demonstrate the effectiveness and superiority of the method.

Finally, two typical numerical examples are presented to prove the feasibility and superiority of our methods.

A number of numerical examples are shown to demonstrate the efficiency and accuracy of our approach.

Numerical examples prove the feasibility and effectivity of the proposed model and methodology in this dissertation.

We demonstrate the efficiency and accuracy of the gauge method by several numerical examples, including the flow past cylinder.

Finally, numerical examples are provided to demonstrate the effectiveness of the proposed design methods.

Some numerical examples are shown to illustrate that the minimax controller can prevent well from disturbance at little expense.

Numerical examples were supplemented to illustrate the effectiveness of the upper bound.

The numerical examples show that the expansion joint must be installed when ballastless turnout is laid on long span bridge.

The new model is valid for both two-dimensional and three-dimensional cases. Numerical examples are given for validation of the model.

Numerical examples are provided to illustrate accuracy and efficiency of the proposed procedures.

Finally, numerical examples are given to illustrate the iteration process for solving the optimal failure maintenance policy.

The numerical examples given in the paper illustrate high accuracy and effectiveness of the proPOsed algorithm.

The computing speed and high precision of the algorithm in dealing with large-scale issue are shown with numerical examples.

Finally, some error estimates for the approximation solutions and several numerical examples are given.

The numerical examples demonstrate that the proposed schemeoutper-forms with higher accuracy, less elements and degree of freedoms.

The results of the analysis and numerical examples: the balance of the lease model can improve the whole supply chain benefits.

A good number of numerical examples are given and demonstrate the validity of the present method.

Numerical examples are provided to show the efficiency and high accuracy of the strip distributed transfer function method.

The error estimation of this method is also analyzed, and numerical examples show that the effect of Interpolation is improved.

Numerical examples testify the feasibility and reliability of the algorithm.

The results of numerical examples will be shown that the algorithm has better filter properties than the conventional morphological ones.

The paper gives numerical examples of the above models and verifies the Fixed Point method by programming.

Several numerical examples show the effectiveness of TNP and subspace truncated-Newton algorithm for solving the OCP.

Numerical examples are given to illustrate the benefit of reducing order cost and increasing production quality.

In both cases, numerical examples are given respectively to verify the feasibility of iterative algorithms.

Through two numerical examples, the potential of IF as a damage detection tool is examined.

Numerical examples are shown to demonstrate the accuracy and resolution of the ENO and WENO schemes.

Numerical examples are given to demonstrate that the proposed approach is effective and valid.

It is evidenced by some numerical examples that the proposed method can reduce errors on the truncated boundary obviously.

The influence service level on optimal production policies are analyzed via numerical examples.

Numerical examples are given to illustrate properties of the resulting beam.

Numerical examples prove the feasibility of this method.

In numerical examples, the results from the first order reliability method are verified by those from the Monte Carlo simulation.

Moreover, two numerical examples are also provided for the sake of illustration.

Conclusion Some numerical examples show that the algorithm is effective.

Numerical examples show that the increase in numbers of docking blocks in aft part may lead to decrease in total volume of blocks.

In Section 4, numerical examples and their results are detailed, with some attention given to the resulting eigenvectors.

Numerical examples include the optimal shock isolation of a SDOF system and the optimal impact isolation of a MDOF system.

Numerical examples are provided to illustrate the results of proposed models.

Numerical examples are mostly taken from studies of the Saturn V vehicle.

Two dual formulas in the numerical integral are given, and their application is also give by numerical examples.

In all numerical examples presented in this study, the default value for N was chosen to be 16.

Numerical examples are given to show the value of demand information with the different forecasting period.

The conclusions are verified by several numerical examples.

Finally, in the section four, two numerical examples show that the method is very effective by comparison.

Some numerical examples for illustration are provided and sensitivity analysis on some parameters is made.

The robot motion was simulated by some typical numerical examples.

At last, the new model is employed to analyze the results with numerical examples.

Numerical examples are provided to examine the effect of screening rate and fuzziness of defective rate on optimal production policies. 4.

Numerical examples are given to illustrate our results.

Based on tested data for concrete fracture, some numerical examples and discussions are also given in the paper.

The influence service level on optimal order policy is analyzed via numerical examples. 3.

Numerical examples are given to show the benefit of shortening lead time.

In the third part, two numerical examples are present to demonstrate our theoretical results.

Numerical examples are also given.

Accodring to the numerical examples, the decision models are simulated in order to verify the effective of the conclusions.

The effect defective rate on optimal order quantity is analyzed via numerical examples. 2.

in order to smooth the air traffic flow , the delay time and new schedules of flight are obtained through solving the numerical examples.

Numerical examples show that the method can reduce the computation time by 30 % ~50% than the ICCG (or PCBCG) method.

The ICA shrinkage de-noising method was effective which was verified by the numerical examples.

The influences of electric field intensity and gradient index on the nature characteristics were discussed via numerical examples.

Summary of Numerical Examples Demonstrating the Procedures for Calculating Geometry Factors for Spur and Helical Gears