Some numerical tests are finished in this paper for raising the ability to find solutions of Denton-scheme. First, three improvement opinions of concrete algorithm for Denton-Scheme are presented. Then, the computatio...
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Some numerical tests are finished in this paper for raising the ability to find solutions of Denton-scheme. First, three improvement opinions of concrete algorithm for Denton-Scheme are presented. Then, the computational accuracy of numerical solutions is checked with three typical examples, also a quantitative estimation for computational accuracy is described. Finally, the maximum flux of mass through plane cascades is determined by numerical tests. A lot of tests shows that the ability to find solutions of this program is fairly raised with algorithm improvements of this paper.
In the present paper, the authors suggest an algorithm to evaluate the multivariate normal integrals under the supposition that the correlation matrix R is quasi-decomposable, in which we have rij = aiaj for most i, j...
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In the present paper, the authors suggest an algorithm to evaluate the multivariate normal integrals under the supposition that the correlation matrix R is quasi-decomposable, in which we have rij = aiaj for most i, j, and rij = aiaj + bij for the others, where bij’s are the nonzero deviations. The algorithm makes the high-dimensional normal distribution reduce to a 2-dimensional or 3-dimensional integral which can be evaluated by the numerical method with a high *** supposition is close to what we encounter in practice. When correlation matrix is arbitrary, we suggest an approximate algorithm with a medium precision, it is, in general, better than some approximate algorithms. The simulation results of about 20000 high-dimensional integrals showed that the present algorithms were very efficient.
Both the classical Gauss-Hermite quadrature for dx and the littleknown Gaussian quadrature for given by Steen-Byrne-Gelbard (1969)given by Steen-Byrne-Gelbard (1969)can be used to evaluate the multivariate normal inte...
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Both the classical Gauss-Hermite quadrature for dx and the littleknown Gaussian quadrature for given by Steen-Byrne-Gelbard (1969)given by Steen-Byrne-Gelbard (1969)can be used to evaluate the multivariate normal integrals. In the present paper, we compare the above quadratures for the multivariate normal integrals. The simulated results show that the efficiencies of two formulas have not the significant difference if the condition of integral is very good, however, when the dimension of integral is high or the condition of correlation matrix of the multivariate normal distribution is not good, Steen ***. formula is more efficient. In appendis, an expanded table of Gaussian quadrature for Steen ***. is given by the present author.
In this paper, two nonconforming finite elements are discussed. They pass the generlized patch test and can be used in the numerical solution of second order elliptic problems.
In this paper, two nonconforming finite elements are discussed. They pass the generlized patch test and can be used in the numerical solution of second order elliptic problems.
In this paper we have studied the mixed finite element method for the non stationary conduct ic n-convection problems, where the coupled equations governing viscous incompressible flow and heat transfer process, and i...
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In this paper we have studied the mixed finite element method for the non stationary conduct ic n-convection problems, where the coupled equations governing viscous incompressible flow and heat transfer process, and incompressible fluid are the Boussinesq approximations to the nonstationary Navier-Stokes *** have discussed the existence of continuous, semi-discrete and fully discrete solutions, and derive the error estimates for the approximate solutions on the continuous and discrete time cases.
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