Geodesic
The variation-difference scheme of solution of Dirichlet’s problem for elliptic pseudodifferential equations of second order
Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 1 (1989), pp. 11-17 Cet article a éte moissonné depuis la source Math-Net.Ru

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The variation-difference scheme of the solution of Dirichlet’s problem is presented for the equation $Au+Bu=f$, where $A$ is an elliptic operator of the second order and $B$ is pseudodifferential operator arised by the symbol $b(\xi)$, satisfying the estimation $b(\xi)\leq C|\xi|, C >0$. It has been proved that the resulting scheme has first order convergence. In addition it has been established that the condition number of the resulting matrix has $O(h^{-2})$ order. 
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     title = {The variation-difference scheme of solution of {Dirichlet{\textquoteright}s} problem for elliptic pseudodifferential equations of second order},
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G. R. Pogosyan. The variation-difference scheme of solution of Dirichlet’s problem for elliptic pseudodifferential equations of second order. Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 1 (1989), pp. 11-17. http://geodesic.mathdoc.fr/item/UZERU_1989_1_a2/

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