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Then, the reliability and efficiency of the method are verified by some illustrative examples of the boundary value problems.
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All the results are compared with SA-FSM's or finite element method's results to prove the reliability and efficiency of this method.
The reliability and efficiency of the present method are validated by comparison with the finite element method.
The results show the reliability and efficiency of the proposed method.
Numerical examples are provided which confirm the reliability and efficiency of the proposed method.
The reliability and efficiency of the proposed method are demonstrated on the numerical experiments.
In order to provide reliability and efficiency of the design methods, the interface characterization study is required.
The reliability and efficiency of the analytical methods were verified through Monte Carlo simulations, suggesting that a population size of nearly 150 recombinant inbred lines (RILs) had a reasonable resolution for the scenarios considered.
After the accuracy and efficiency of the method are demonstrated through numerical examples, the method is used to estimate the flutter reliability of a suspension bridge.
The reliability and efficiency of the proposed optimization method are demonstrated on two case studies, i.e., one cyclohexane oxidation process and one benzene chlorination process.
Before analyzing the real data, Monte Carlo simulations were carried out to test the reliability and efficiency of the model and methods.
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