The monotone iterative technique is one of the efficient analytic methods for solving nonlinear boundary value problems.
Another welcome feature with GQ is its ability to be interpreted as an elegant, efficient analytic approximation scheme too.
MapReduce framework agglomerated with adopted heuristics overcomes the challenge of scalability along with much-needed privacy preservation and yields efficient analytic results for real execution time.
We develop efficient analytic linear projection rules for 3D strain fields, facilitating a straight-forward calculation of reconstructed phases from 3D strained materials.
We have agglomerated the MapReduce framework with adopted heuristics to overcome this challenge of scalability along with much-needed privacy preservation and yields efficient analytic results within bounded execution times.
Quantitative evaluations have shown that the fusion of MapReduce framework with these adopted heuristics fulfills its obligatory responsibility of being scalable and many-fold faster for yielding efficient analytic results.
With reproducible quantitative evaluations, we have shown that MapReduce framework agglomerated with adopted heuristics, overcomes this challenge of scalability along with much-needed privacy preservation and yields efficient analytic results within bounded execution times.
Eighty years after the birth of quantum mechanics, the Schrödinger's famous equation still remains a subject of numerous studies, aiming at extending its field of applications and at developing more efficient analytic and approximation methods to obtain its solutions.
An efficient analytic framework is developed in this paper to study transverse vibrations of double-beam systems used in numerous engineering applications, in which two parallel Timoshenko beams are connected by discrete springs and coupled with various discontinuities.
Singh et al.[16] proposed an efficient analytic algorithm for Lane-Emden equations using modified homotopy analysis method (MHAM), which is different from other analytic techniques as it itself provided a convenient way to adjust convergence regions even without the Pade technique.
Developing efficient analytic methods for evaluation of the gene-environment interactions is critical to the investigation of gene-environment interactions [18].
