In this paper, we use the flux ENO scheme for the multiresolution scheme and simplify the original scheme based on the cell average ENO. As it is well known that the present scheme may will not be conservative at disc...
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In this paper, we use the flux ENO scheme for the multiresolution scheme and simplify the original scheme based on the cell average ENO. As it is well known that the present scheme may will not be conservative at discontinuities, but numerical solutions are acceptable in practice.
In this paper, we consider the acoustic impedance inversion problem of one dimensional wave equations. from the difference scheme of one diemsional wave equations, we derive the positive property of impulsive response...
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In this paper, we consider the acoustic impedance inversion problem of one dimensional wave equations. from the difference scheme of one diemsional wave equations, we derive the positive property of impulsive response in frequency domain,and prove that the positivity is a sufficient condition for the stability of impedance inversion.
We propose an approach to construct a C1 function on a fat surface domain, asurface that has thickness, by piecewise rational functions defined on a collection ofirregular triangular prisms. We show that the interpola...
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We propose an approach to construct a C1 function on a fat surface domain, asurface that has thickness, by piecewise rational functions defined on a collection ofirregular triangular prisms. We show that the interpolation function has algebraic precision 2. Examples that show the effectiveness of the scheme is presented.
In this paper parallel implementation issues concerning computation of a set ofrecurrences on distributed memory parallel systems are discussed. It is a commonproblem when solving partial differential equations on dis...
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In this paper parallel implementation issues concerning computation of a set ofrecurrences on distributed memory parallel systems are discussed. It is a commonproblem when solving partial differential equations on distributed memory systems,especially in computational fluid dynamics. For example, solution of a set of tri-diagonalsystems of equations or Guauss-Seidel relaxations on finite difference systems all leadto this kind of computation. We emphasize on the idea of doing the computations in apipelined fashion and we show through analysis and numerical examples that by usingproperly chosen parameters, pipelined implementation often yields much better parallelefficiency with respect to other commonly used methods.
This paper presents a class of high resolution KFVS (kinetic flux vector split-ting) finite volum methods for solving three-dimensional compressible Euler equa-tions with γ-gas law. The schemes are obtained based on ...
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This paper presents a class of high resolution KFVS (kinetic flux vector split-ting) finite volum methods for solving three-dimensional compressible Euler equa-tions with γ-gas law. The schemes are obtained based on the important connection between the Boltzmann equation and the Euler equations. According to the sign of the normal molecular velocity component at the surface of ally control volumes,one gives a splitting of the macroscopic flux vector, i.e. writes the macroscopic flux vector into the sum form of a positive flux and a negative flux. The initial reconstruction is applied to improve resolution of the schemes. Several numerical results are also presented to show the performance of our schemes.
This paper studies the three-term conjugate gradient method for unconstrained optimization. The method includes the classical (two-term) conjugate gradient method and the famous Beale-Powell restart algorithm as its s...
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This paper studies the three-term conjugate gradient method for unconstrained optimization. The method includes the classical (two-term) conjugate gradient method and the famous Beale-Powell restart algorithm as its special forms. Some mild conditions are given in this paper, which ensure the global convergence of general three-term conjugate gradient methods.
In this paper, based on the study of [1], the discretizations of the coupling of finite elemellt and boundary integral are presented to solve the initial boundary value problem of parabolic partial differential equati...
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In this paper, based on the study of [1], the discretizations of the coupling of finite elemellt and boundary integral are presented to solve the initial boundary value problem of parabolic partial differential equation defined on an unbounded *** semi-discrete scheme and fully discrete scheme are given, and stability theorem and error estimates, which correspond to discrete scheme respectively,are ***,the numerical example is provided,and numerical result shows that the method is feasible and effective.
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