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Based on this error estimator, we suggest a new post-processing procedure (containing additional time integration of elastodynamics equations by the trapezoidal rule with few time increments) that systematically improves the order of accuracy of numerical results, with the increase in the number of additional time increments used for post-processing.
In the next section, we introduce a truncation method which improves the order of the error.
Kou et al. [20] presented a variant of the super-Halley method which improves the order of the super-Halley method from three to four by using the values of the second derivative at (( x_{n}-frac{1}{3}f(x_{n})/f'(x_{n}) )) instead of (x_{n}).
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To improve the order of nonlinearity adopted in the Volterra series, sparse form kernels are adopted in this study.
Modified forms of PDEs are used to improve the order of accuracy of existing schemes and these modified forms are obtained through addition of defect correction terms to the original forms of PDEs.
The sample problem considered shows, that applying the approach proposed allows to improve the order of convergence of the HWM from two to four and to reduce the absolute error by several orders of magnitude (depending on mesh).
The obtained errors confirm that the used method permits us to improve the order of convergence.
Additional 1,4-dioxane/nitromethane mixture solvent vapor annealing of a thin film was applied to improve the order of nanodomains.
We showed that if we consider the decomposition of the solution into a regular part and a singular one, we improve the order of the error.
To improve the order of the convergence in the case of the crack, we need to add the two first singular functions to the discrete space of the velocity.
The use of the Scrum methodology, with its emphasis in incremental development and constant monitoring, provided the team the opportunity to improve the order of developing artifacts in the design phase, as also increased the team collaboration on all Sprints.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.
Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com