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We present an efficient algorithm, and we illustrate its efficiency with case studies of Berlin and Singapore.
Several examples are presented to illustrate its efficiency.
We illustrate its efficiency on magnetic diffusion problems in a sphere and in a finite cylinder.
Numerical examples, including those involving multiple solid bodies, are presented to verify the method and illustrate its efficiency.
A priori and a posteriori error estimates are derived for the new method that is also tested numerically to corroborate the theoretical convergence rates and illustrate its efficiency.
Furthermore, the proposed method was applied to rank all 1544 Go players available at Go4Go.net to illustrate its efficiency in handling large-scale data.
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Moreover, it demonstrates computationally that the new method is more effective than the method presented in [18] in the sense that the new method needs fewer iteration and less evaluation numbers of F, which clearly illustrates its efficiency.
Moreover, it demonstrates computationally that Algorithm 1 with (alpha_{k}=alpha^_{k_{2}}) is more effective than the method presented in [14] and Algorithm 1 with (alpha_{k}=alpha^_{k_{1}}) in the sense that Algorithm 1 with (alpha_{k}=alpha^_{k_{2}}) needs fewer iterations and less evaluation numbers of T, which clearly illustrates its efficiency.
Moreover, it demonstrates computationally that the new method is more effective than the method presented in [19] in the sense that the new method needs fewer iterations and less computational time, which clearly illustrates its efficiency and thus justifies the theoretical assertions.
We then illustrated its efficiency by discovering novel small causative CNVs in two patients with primary immunodeficiencies, a heterozygous deletion of two exons of the GATA2 gene and a single-exon homozygous deletion in the DOCK8 gene.
The proposed method achieves excellent results that illustrate its effectiveness and efficiency.
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