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In the numerical calculation for solving (11), Newton iteration method is used [26], and the upper and lower limits of integral are described by interval, where μ and σ are the mean and standard deviation of random variable x; is an arbitrary real number which determines the length of integral interval.
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Motivated by the recently proposed parallel orbital-updating approach in real space method [1], we propose a parallel orbital-updating based plane-wave basis method for electronic structure calculations, for solving the corresponding eigenvalue problems.
This optimal scheme selection reduces the amount of calculation needed for solving the IVPs.
Hence, and due to its relative simplicity the UTD is proposed as an accurate calculation scheme for solving problems with edge diffraction by hard wedges.
To do this, we used a Normal Boundary Intersection (NBI) algorithm coupling with a radial basis function (RBF) metamodel in order to reduce the high calculation time needed for solving the multicriteria design problem.
This chapter proposes a calculation method employed for solving the nonlinear seismic responses of the arch dam-foundation systems by combining the dynamic contact force model with the explicit FEM.
The results obtained ensure that the presented procedure needs less work in comparison with the traditional methods and decreases considerable volume of calculation and is a powerful tool for solving large amount of other problems in physics and engineering.
Results show that Cuckoo Search offers a reliable performance for solving these thermodynamic calculations and is better than other meta-heuristics previously applied in phase equilibrium modeling.
In these calculations, Spalart Allmaras & k ε RNG turbulent models were used for solving corresponding Reynolds Average equations.
Also, it uses the elastic rheology for solving the rock behaviour and strain calculation similar to the other methods.
In general, calculation of an inverse matrix is a difficult method for solving an inverse problem numerically.
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