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.
Stabilized hybrid finite element methods are developed for the second order elliptic problem. These methodologies are characterized by the following properties:[1] any stabilizing parameter is avoided. [2] the uniform...
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Stabilized hybrid finite element methods are developed for the second order elliptic problem. These methodologies are characterized by the following properties:[1] any stabilizing parameter is avoided. [2] the uniform ellipticity is obtained.[3] hybrid element pairs can be depicted as either nonconforming or can be expanded as conforming elements through the method used. [4] optimal error bounds are established.[5] the same arguments as this note may be easily applied to other three dimensional 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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