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For both methods, the solution strategies and techniques are discussed and demonstrated in the context of the multiscale multifunctional energetic and structural materials (MESMs) design problem.
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By use of both iterative and linearization methods the solution for the expected value and variance of the bridge's deflections is determined.
Equipped with both methods, the algorithm attains the best solution.
For a given optimization setup (and estimation method), the solution takes about 2 min on a standard desktop computer.
Both methods allow reducing the solution time, but the second one is more efficient.
The shooting method is one of the most efficient methods for the solution of both linear and nonlinear BVPs.
Both methods give the same solution; however, the variance estimated by WLSQ is much smaller than that estimated by WLL.
Therefore, the iterate (x_{m} = [s_{m},t_{m} ]^{t}) gained by both methods is the exact solution of the correction Eq. (10).■.■
The obtained results of the proposed approach are compared with other methods, and simulation and comparison results clearly show that DRQEA is able to provide better solution than other reported methods, both in the solution quality and the convergence speed.
Assuming a normally distributed random error and systematic errors, both methods give the same solution; however, variances of random errors estimated by WLSQ are much smaller than those estimated by WLL.
The epoxidation of the rubber and polymer chains can be carried out by both methods: solution and melt-mixing [19, 20].
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