The symplectic multistep method for special differential equation of the secondorder y" = f(x,y) was constructed in this paper. It is equals to the symmetriclinear multistep method which was presented by Lambert ...
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The symplectic multistep method for special differential equation of the secondorder y" = f(x,y) was constructed in this paper. It is equals to the symmetriclinear multistep method which was presented by Lambert & Watson, suiting themotion equations of the celestial mechanics. Obviously, we prove the Lambert’smethod possesses symplectic property. Numerical experiments are performed tothe method, and the results show that the method can preserve many inherentcharacters of the system.
In this paper, an optimal V-cycle muligrid method is presented for Q1 nonconforming element. The uniform convergence rate independent of mesh size and level is established.
In this paper, an optimal V-cycle muligrid method is presented for Q1 nonconforming element. The uniform convergence rate independent of mesh size and level is established.
In this paper, we apply the natural boundary element method to solve initialboundary value problem of parabolic equation. By Fourier expansion, we obtainthe natural integral equation of the problem and its Poisson int...
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In this paper, we apply the natural boundary element method to solve initialboundary value problem of parabolic equation. By Fourier expansion, we obtainthe natural integral equation of the problem and its Poisson integral formula overexterior circular domain. Meanwhile, the numerical implementation of the natural integral equation is given. At last some numerical examples are presented toillustrate feasibility and efficiency of our method.
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