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Let (RM) be an ordering method, (S) the set of fuzzy numbers for which the method (RM) can be applied, and (mathcal {A}) and (mathcal {A'}) finite subsets of (S).

We validated the utility of POPSEQ, a reference map-based marker ordering method, by using a new RIL population.

Regarding the block ordering methods, such a study could provide information on two different questions.

Learn some basic ordering methods.

The first method included an ordered array of 11 x 11 = 121 elements.

The finite-difference schemes presented on the triangular grid include a second-order method, a compact fourth-order method, and a modified compact method designed to extend the accurate wave number range of the numerical approximation.

A second order method is a Newton or quasi-Newton method, employing a local quadratic approximation.

Comparison of these two approaches, a zero-order method and a gradient-based algorithm, validated the predicted material properties.

In this interpretation, inverting the preconditioner corresponds to a sweep with a low-order method.

Such kind of a second-order method on a variable mesh network is known as supra-convergent scheme [29].

In practical terms, a higher-order method with a larger stepsize can achieve the same level of accuracy as a lower-order method with a smaller one, potentially reducing the computational time of the system.

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