Convergence Estimates for Essentially Positive Type Discrete Dirichlet Problems

نویسنده

  • Vidar Thomée
چکیده

In this paper we consider a class of difference approximations to the Dirichlet problem for second-order elliptic operators with smooth coefficients. The main result is that if the order of accuracy of the approximate problem is v, and F (the right-hand side) and/ (the boundary values) both belong to Cx for X < v, then the rate of convergence is 0(hx).

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تاریخ انتشار 2010