In this paper, we propose the component-consistent pressure correction projection method for the numerical solution of the incompressible Navier-Stokes equations. This projection preserves a discrete form of the compo...
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In this paper, we propose the component-consistent pressure correction projection method for the numerical solution of the incompressible Navier-Stokes equations. This projection preserves a discrete form of the component-consistent condition between components of the solution at every time step. We also propose, in particular, the CNMT2 + CCPC method and the RKMT + CCPC method, both involving one pressure Poisson solution per time step. We show that they are both of O(Delta t(2)) for the Velocity and O(Delta t) for the pressure on fixed meshes and finite time intervals. Numerical tests on flow simulation support our claim that the component-consistent pressure correction projection method solves the deviation problem encountered sometimes by the original pressure correction projection method.
In this paper we generalize the method of constructing sympl ctic schemes by generating function in the case of autonomous Hamiltonian system to that of nonautonomous system.
In this paper we generalize the method of constructing sympl ctic schemes by generating function in the case of autonomous Hamiltonian system to that of nonautonomous system.
We set up a class of parallel nonlinear AOR method in the sense of matrix multi-splitting for solving the large scale system of nonlinear equations Ax + phi(x) = b with A is an element of L(R(n)) nonsingular, b is an ...
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We set up a class of parallel nonlinear AOR method in the sense of matrix multi-splitting for solving the large scale system of nonlinear equations Ax + phi(x) = b with A is an element of L(R(n)) nonsingular, b is an element of R(n) and phi : R(n) --> R(n) being continuously diagonal. The global as well as the monotone convergence of this method is proved.
A new comparison theorem about the parallel nonlinear AOR method [1] is set up, which describes in detail the influence of either the multisplitting of the coefficient matrix or the pair of the relaxation parameters o...
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A new comparison theorem about the parallel nonlinear AOR method [1] is set up, which describes in detail the influence of either the multisplitting of the coefficient matrix or the pair of the relaxation parameters on the convergence rate of this method.
In this paper, we establish a class of sparse update algorithm based on matrix triangular factorizations for solving a system of sparse equations. The local Q-superlinear convergence of the algorithm is proved without...
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In this paper, we establish a class of sparse update algorithm based on matrix triangular factorizations for solving a system of sparse equations. The local Q-superlinear convergence of the algorithm is proved without introducing an m-step refactorization. We compare the numerical results of the new algorithm with those of the known algorithms, The comparison implies that the new algorithm is satisfactory.
For the linear complementarity problem, we set up a class of parallel matrix multisplitting accelerated overrelaxation (AOR) algorithm suitable to multiprocessor systems (SIMD-systems). This new algorithm, when its re...
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For the linear complementarity problem, we set up a class of parallel matrix multisplitting accelerated overrelaxation (AOR) algorithm suitable to multiprocessor systems (SIMD-systems). This new algorithm, when its relaxation parameters are suitably chosen, can not only afford extensive choices for parallely serving the linear complementarity problems, but also can greatly improve the convergence property of itself. When the system matrices of the problems are either H-matrices with positive diagonal elements or symmetric positive definite matrices, we establish convergence theories of the new algorithm in a detailed manner.
The generalized Markov-Stieltjes inequalities for several kinds of generalized Gaussian Birkhoff quadrature formulas are given. (C) 1996 Academic Press, Inc.
The generalized Markov-Stieltjes inequalities for several kinds of generalized Gaussian Birkhoff quadrature formulas are given. (C) 1996 Academic Press, Inc.
A weight w(x) is provided with the properties: w(x)>(1-x2) l/2 and Lagrange's interpolation based on the zeros of orthogonal polynomials with respect to w diverges in Lp (p>6) for some [-1, 1], This gives a ...
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A weight w(x) is provided with the properties: w(x)>(1-x2) l/2 and Lagrange's interpolation based on the zeros of orthogonal polynomials with respect to w diverges in Lp (p>6) for some [-1, 1], This gives a negative answer to Problem 10 of P. Turan.
In this paper some new results for general orthogonal polynomials on infinite intervals are presented. In particular, an answer to Problem 54 of P. Turan[J. Approximation Theory, 29(1980),P.64] is given.
In this paper some new results for general orthogonal polynomials on infinite intervals are presented. In particular, an answer to Problem 54 of P. Turan[J. Approximation Theory, 29(1980),P.64] is given.
Explicit formulas for Cotes numbers of the Gaussian Hermite quadrature formula based on the zeros of the nth Chebyshev polynomial and their asymptotic behavior as n→∞ are given. This provides a solution of Problem 2...
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Explicit formulas for Cotes numbers of the Gaussian Hermite quadrature formula based on the zeros of the nth Chebyshev polynomial and their asymptotic behavior as n→∞ are given. This provides a solution of Problem 26 of P. Turan.
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