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Stability and convergence of the Dirichlet difference problem

Estimation of a solution of the Dirichlet difference problem. We make use of a priori estimates obtained in Section 2 for a grid equation of common structure for constructing a uniform estimate of a solution of the Dirichlet difference problem (24)-(26) arising in Section 1  [Pg.265]

Other ideas are connected with the operator A, which coincides with A at the near-boundary nodes and with A at the remaining inner nodes, leading to an alternative form of writing [Pg.266]

We are going to evaluate separately each of the functions v(x) and w(x). In order to estimate v(x), it is necessary to construct a majorant Y(x). Assuming that the origin is inside the domain G, we try to determine a majorant of the type [Pg.267]

IMIc 1 licit is easily seen from the expression for Y that Y c KR2. So, for a solution of problem (7) the estimate [Pg.268]

Our next step is the estimation of the function w x). First, we are going to show that for problem (8) [Pg.268]


See other pages where Stability and convergence of the Dirichlet difference problem is mentioned: [Pg.267]    [Pg.269]    [Pg.271]    [Pg.265]    [Pg.267]    [Pg.269]    [Pg.271]    [Pg.21]    [Pg.267]    [Pg.269]    [Pg.271]    [Pg.265]    [Pg.267]    [Pg.269]    [Pg.271]    [Pg.21]   


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