ON THE CONVERGENCE OF DIFFERENCE-SCHEMES FOR THE APPROXIMATION OF SOLUTIONS U IS-AN-ELEMENT-OF W2M(M LESS-THAN 0.5) OF ELLIPTIC-EQUATIONS WITH MIXED DERIVATIVES
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The paper deals with such estimates of the rate of convergence of difference methods, which are compatible with the smoothness of the exact solution u W2m(), m>0.5, of elliptic equations with mixed derivatives: The error in the norm of the discrete Sobolev space W2s(), denoting the set of grid points, is shown to be of the order O(|h|m-s), 0s